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REVIEW 5 major objections 6 minor 1 cited by

Dissipative Forces in Photon-Medium Interactions Using Perturbation Theory

T0 review · 5 major / 6 minor · reviewed 2026-08-12 · deepseek-v4-flash

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Pith's one-line read This paper claims that gravitational friction on photons in a low-density medium produces a first-order helium-4 energy correction of about 10^-34 eV, peaking near 0.1 nm.

desk verdict A microscopic gravitational-friction energy shift for helium that fails at its first premise: the photon coordinate is silently swapped for the inter-electron separation. read the letter →

arxiv 2411.17904 v1 pith:HQ676CFK submitted 2024-11-26 cond-mat.other cond-mat.mes-hallquant-ph

Raju S. Khatiwada , N. P. Adhikari , C. Ortiz This is my paper · ORCID
classification cond-mat.othercond-mat.mes-hallquant-ph
keywords dissipativeforcesphoton-mediuminteractiongravitationalfrictionperturbationtheoryhelium-4deBrogliewavelengthquantumfluidenergycorrection
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This paper tries to establish that a single helium-4 atom in a low-density medium, interacting with a photon, loses energy through a dissipative gravitational-friction force, and that this loss is computable by first-order, time-independent perturbation theory. The calculation gives a tiny first-order energy shift, $E' \approx 10^{-53}$ J $\approx 10^{-34}$ eV, that peaks when the characteristic interaction distance $r_1$ is about $0.1$ nm and then decays exponentially with distance. The size of the shift is controlled by the de Broglie wavelength of helium-4, roughly as $E' \propto \lambda^7$, so the mechanism is intrinsically nanoscale and quantum in origin. If correct, this provides a single-particle view of photon-medium dissipation that macroscopic mean-field models average away.

What carries the argument

The object that carries the calculation is the perturbing Hamiltonian $H' = -(\pi/3)\,G m_0 \rho_0 r^2$, obtained by integrating the gravitational friction force $F = -(2/3)\pi G m_0 \rho_0 v_r t$ from $0$ to $r$. First-order non-degenerate perturbation theory evaluates its expectation value using the screened hydrogenic helium ground state $\psi_0(r_1,r_2) = (Z^3/\pi a^3)\,e^{-Z(r_1+r_2)/a}$ with $Z=1.69$, and the substitution $m_0 = h/(\lambda c)$ ties the result to the de Broglie wavelength. A decisive step in the paper is identifying the distance $r$ in $H'$ with the inter-electronic separation $|r_1-r_2|$ inside the helium wavefunction, which turns the perturbation into a two-electron integral and, after integrating out $r_2$, leaves a short-range integral over $r_1$ that is cut off at the de Broglie wavelength $\lambda$. The exponential decay of the wavefunction is what produces the $0.1$ nm peak and the rapid falloff.

What would settle it

Compute the same expectation value of $H'$ using a correlated two-electron helium wavefunction instead of the screened product wavefunction; if the resulting energy correction is not close to $10^{-34}$ eV or no longer scales as $\lambda^7$, the reported value is an artifact of the wavefunction approximation rather than a robust consequence of the perturbation.

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Extended reading notes

Core claim

The paper's central claim is that the gravitational-friction perturbation $H' = -(\pi/3)\,G m_0 \rho_0 r^2$, evaluated as a first-order expectation value against the ground state of a single helium-4 atom, yields a dissipative energy correction of about $10^{-53}$ J ($10^{-34}$ eV). The correction is concentrated at short range: the exponential factors in the helium wavefunction confine the integrand to $r_1 \approx 0.1$ nm, and the paper identifies this effective distance with the de Broglie wavelength of helium-4, using it as the cutoff. With $m_0$ replaced by $h/(\lambda c)$, the final expression scales as $\lambda^7$, so a shorter de Broglie wavelength would steeply increase the effect under idealized conditions. The paper presents this as a departure from collective mean-field treatments, since it follows a single atom rather than a macroscopic quantum fluid.

Load-bearing premise

The result depends on the premise that the dissipative force on a photon in a low-density medium is the gravitational friction force taken from the authors' earlier work, and that the distance appearing in that force is the same as the electron-to-electron distance inside the helium atom; if that connection is not physical, the calculated energy shift does not follow.

Editorial extensions

If this is right

  • The dissipation channel is confined to separations around $0.1$ nm, so it matters only for nanoscale photon-medium interactions, not for bulk optical response.
  • Because $E'$ grows roughly as $\lambda^7$, shortening the de Broglie wavelength of helium-4 would amplify the correction strongly in idealized conditions.
  • The same single-particle perturbative treatment can be carried over to other low-density media, giving a template for estimating short-range dissipative energy shifts beyond helium-4.
  • The experimental platforms proposed in the paper—soliton-bearing nonlinear media, levitated nanoparticles, and integrated photonic circuits—could test the predicted dependence on medium density and wavelength even if the absolute $10^{-34}$ eV scale is too small to measure directly.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • Beyond the paper, a cheap robustness check would be to repeat the integral with a correlated two-electron wavefunction; the 0.1 nm peak location is likely set by the exponential Bohr factor, and a better wavefunction could move or erase it.
  • Beyond the paper, the absolute scale of $10^{-34}$ eV is far below current spectroscopic resolution, so the experimentally meaningful prediction is the scaling $E' \propto \rho_0 \lambda^7$ rather than the number itself.
  • Beyond the paper, the same perturbation theory would apply to any dissipative force with a linear-in-position force law and quadratic Hamiltonian, so the method is not specific to gravity and could be transferred to engineered feedback or dispersion forces.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

5 major / 6 minor

Summary. The manuscript proposes a first-order perturbative calculation of an energy correction for a single helium-4 atom interacting with a photon in a low-density medium. The authors adopt the gravitational-friction Hamiltonian H' = -(pi/3) G m0 rho0 r^2 from their earlier work (Ref. [18]), replace the photon coordinate r with the inter-electronic distance |r1-r2| in the helium ground state, and evaluate the expectation value to obtain E' ~ 10^-53 J (10^-34 eV) with a reported scaling E' ~ lambda^7. The paper also discusses possible experimental tests in nonlinear optical media, levitated nanoparticle systems, and integrated photonic circuits.

Significance. If the central derivation were sound, the prediction of a de Broglie-wavelength-dependent dissipative energy channel at nanometer scales would be novel and experimentally testable. The manuscript's concrete numerical estimate, explicit parameter table, and publicly available code are strengths. However, the quantitative result depends on an unstated identification between a photon coordinate and helium electron coordinates, and the perturbing Hamiltonian is asserted rather than derived. The reported number therefore is not supported by the calculation presented.

major comments (5)
  1. [III.B, Eqs. (4)-(5)] The perturbing Hamiltonian H' = -(pi/3) G m0 rho0 r^2 is carried over from the authors' previous gravitational-friction work (Ref. [18]) with no derivation that this classical force law describes photon-medium interactions. A photon is massless, and the manuscript does not explain how a gravitational-friction Hamiltonian for a massive particle becomes the interaction Hamiltonian for a photon in a dielectric or superfluid medium. This is a load-bearing premise for every subsequent result.
  2. [III.C, Eq. (8)] The step from Eq. (5) to Eq. (8) silently identifies the photon coordinate r in H' with the inter-electronic distance |r1-r2| in the helium ground-state wavefunction. These are physically distinct degrees of freedom: a photon-position operator does not act on the helium electron wavefunction, and the helium electrons are not the photon. If H' acts on the photon, its expectation value in the atomic ground state cannot yield an atomic energy correction; if H' acts on the electrons, the gravitational-friction origin is not connected to photon-atom coupling. The central numerical result rests entirely on this unstated identification.
  3. [III.D, Eq. (12)] The radial integral over r2 is truncated at r1 without justification. After the angular integration the r2 integrand is 4*pi*(r1^2 + r2^2)*exp(-2Zr2/a)*r2^2 dr2, and no mathematical or physical reason is given to restrict the range to r2 <= r1. This truncation, combined with the later ad hoc replacement r1 = lambda in Eq. (16), makes the reported lambda^7 scaling and the magnitude 10^-53 J artifacts of chosen cutoffs rather than consequences of the helium wavefunction.
  4. [III.D, Eq. (14)] The substitution m0 = h/(lambda c) is not justified. For a photon, p/c is not a rest mass, and for a helium atom the de Broglie wavelength involves the atomic speed, not the speed of light. The rest mass m0 appearing in Eq. (5) is thereby conflated with a photon momentum-to-c ratio, and the numerical estimate in Eq. (17) inherits this inconsistency.
  5. [VI] The manuscript itself states that photon-medium interactions in helium-4 can introduce significant perturbations, which conflicts with the weak-perturbation assumption required for first-order time-independent perturbation theory. No quantitative criterion or justification is given for the validity of the perturbative expansion, so the omission of higher-order terms and nonperturbative effects is not addressed.
minor comments (6)
  1. [III.D, Eq. (15)] Equation (15) appears to contain a formatting artifact: the term '158' and the denominator '32Z^8' are not cleanly connected, and the Appendix's Eq. (20) differs in structure. Please clarify the final integrated expression.
  2. [Introduction and II] The notation m0 is used both for the mass of a particle in Eq. (4) and for the helium atom in the context of the de Broglie wavelength; this dual usage is confusing and should be disambiguated.
  3. [References] Reference [4] to Pitaevskii is incomplete, containing a URL rather than a standard journal citation; please complete the citation.
  4. [Fig. 2] The text and figure caption reference 'FIG. 2. Perturbative Dissipation V/s Distance,' but the actual plot is not visible in the submitted manuscript; please ensure the figure is included.
  5. [III.C] The claim that the system is non-degenerate because 'the phonon wavevector k leads to a distinct energy eigenvalue' is not a convincing degeneracy argument for the helium electronic ground state; the intended meaning should be clarified.
  6. [II and VI] The paper mentions the Uehling potential and the Lamb shift for qualitative comparison but does not compare the predicted energy correction with known QED or Casimir-Polder-type shifts; such a comparison would help calibrate the claimed magnitude.

Circularity Check

3 steps flagged · score 6.0 of 10

The headline energy correction reduces to the self-cited gravitational-friction Hamiltonian plus hand-set replacements r = |r1-r2| and r1 = λ, so the λ^7 scaling and 10^-34 eV number are built from inputs rather than independently predicted.

  1. self citation load bearing [Section III.B, Eqs. (4)-(5)]
    "In this paper, Ortiz et al. 18 demonstrated how applying d’Alembert’s principle of virtual work provides a formal method to establish energy dissipation due to gravitational fields in a low-density medium... The force on a particle due to the medium is given as: F = −2/3 πGm0ρvrt. (4)... the Hamiltonian that causes the perturbation is: H′ = −π/3 Gm0ρ0r2. (5)"

    The only source of the perturbing Hamiltonian is reference 18, whose authors (Ortiz and Khatiwada) overlap with the present paper. No derivation in this paper connects the classical gravitational-friction force to photon-atom coupling or to Helium-4. The conclusion that gravitational friction creates a photon-medium energy shift is therefore inherited from the self-cited premise rather than independently established.

  2. self definitional [Section III.C, Eq. (8)]
    "Substituting the perturbing Hamiltonian from Eq. [5], the energy correction becomes: E′ = (Z3/πa3)2 π/3 Gm0ρ0 ∫ e^{−2Z(r1+r2)/a} |r1 − r2|^2 d3r1 d3r2. (8)"

    In Eq. (5), r is the particle position appearing in the gravitational-friction force F = −2/3 πGm0ρvrt. In Eq. (8), r is silently replaced by |r1−r2|, the electron-electron separation in the helium wavefunction. This is not derived; it is the step that makes the expectation value nonzero. The resulting energy is therefore, by construction, constants times ⟨|r1−r2|^2⟩ of the helium ground state, and the photon-medium content is inserted by redefining the coordinate rather than computed from photon physics.

1 more flagged steps
  1. fitted input called prediction [Section III.D, Eq. (14), Eq. (16), Eq. (17), Table I]
    "Notice that we are replacing m0 by the relation involving the associated momentum and the de Broglie wavelength as: m0 = h/λc (14)... Thus, analytically, we set r1, the effective distance, equal to the de Broglie wavelength of the Helium-4, which is denoted by λ. Thus, the final equation becomes: E′ ≈ ( Z3/πa3 )2 π/3 G( h/λc )ρ0(4π)2 15λ8/32Z8. (16)... E′ ≈ 10−53 J ≈ 10−34eV, (17)"

    The de Broglie wavelength λ is an input chosen to be 0.5 nm in Table I. It is first used in Eq. (14) to replace m0 by h/(λc), and then used in Eq. (16) to replace the effective distance r1 by λ. The claimed λ^7 scaling and the numerical value 10^-34 eV are algebraic consequences of these two substitutions, not independently derived predictions. Adjusting λ changes the answer by construction, so the 'short-range, de Broglie-wavelength-governed' result restates the chosen input.

full rationale

The calculation chain is conditional rather than self-contained. The perturbing Hamiltonian in Eq. (5) is imported from the authors' own 2023 paper; Eq. (8) silently identifies the photon coordinate r with the helium electron separation |r1−r2|; and Eq. (16) replaces the cutoff r1 with the user-chosen de Broglie wavelength λ. Each of these is an input, not a derived result. The final number 10^-53 J therefore follows by construction from the chosen H', the chosen helium wavefunction, and the chosen λ, so the central numerical 'prediction' does not independently test the physical mechanism. The integral evaluation itself is straightforward arithmetic, which is why the score is 6 rather than higher; there is no external benchmark or independent derivation that would lift the result out of this self-referential chain.

Assumptions & free parameters 4 free parameters · 4 assumptions · 1 invented entities

The calculation rests on a self-cited gravitational friction force, an isolated-atom helium wavefunction, an ad hoc identification of photon position with electron separation, and a hand-set de Broglie cutoff. Removing any one of these changes or invalidates the central result.

free parameters (4)
  • de Broglie wavelength lambda = 0.5 nm
    The final energy depends on lambda^7; lambda is chosen as the helium de Broglie wavelength and as the integration cutoff, setting the numerical magnitude.
  • Medium density rho0 = 145 kg/m3
    Given in Table I as a fixed parameter; the energy shift is proportional to rho0, so the output scales with this assumption.
  • Effective nuclear charge Z = 1.69
    Variational parameter for the helium ground state, taken from Griffiths; the exponential decay and the prefactor depend on Z.
  • Integration cutoff r1 = lambda = 0.5 nm
    The r1 integration is cut at the de Broglie wavelength to produce the 15 lambda^8 / 32 Z^8 term; without this ad hoc cutoff the closed form does not follow.
assumptions (4)
  • domain assumption The helium-4 ground state is described by the product wavefunction psi0 = (Z^3/(pi a^3)) e^{-Z(r1+r2)/a} with Z = 1.69
    Used in Eq. (8); ignores many-body and phonon structure of liquid helium-4, relying on an isolated-atom variational wavefunction.
  • domain assumption Non-degenerate time-independent perturbation theory can be applied to continuous photon-atom interactions in a medium
    Section II and III.C assert non-degeneracy because the phonon wavevector k gives distinct eigenvalues; no justification is given that the perturbation is weak relative to a legitimate unperturbed Hamiltonian.
  • ad hoc to paper The gravitational friction force F = -(2/3) pi G m0 rho v_rt from Ref 18 is the relevant dissipative force in photon-medium interactions
    Basis of Eq. (4); no derivation appears in this paper and no independent support exists for applying it to photons.
  • ad hoc to paper The photon position r can be identified with the inter-electronic distance |r1-r2| in the helium wavefunction
    Eq. (8) replaces r^2 in H' with |r1-r2|^2 inside the expectation value; this is physically unmotivated and not explained.
invented entities (1)
  • Photon-medium gravitational friction coupling
    purpose: Acts as the perturbation H' that generates the computed energy correction; connects photons to helium atoms through gravity rather than electromagnetism.
    No experimental or independent theoretical evidence is presented; the coupling is carried over from the authors' own prior work (Ref 18).

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Cite this review

Pith. "Pith review of Dissipative Forces in Photon-Medium Interactions Using Perturbation Theory." pith.science (2026). https://pith.science/paper/HQ676CFK

@misc{pith2026241117904,
  author       = {Pith},
  title        = {Pith review of: Dissipative Forces in Photon-Medium Interactions Using Perturbation Theory},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/HQ676CFK}},
  note         = {Machine review of arXiv:2411.17904}
}
abstract

This study examines dissipative forces in photon-medium interactions through time-independent perturbation theory, with a specific focus on single Helium-4 atoms. Utilizing a Hamiltonian framework, energy corrections induced by dissipative gravitational frictional effects in low-density systems are derived and analyzed as a function of inter-atomic distance. The calculations reveal an energy correction peak at $r_1 = 0.1 nm$, followed by rapid exponential decay, highlighting the dominance of nonlinear dissipative effects at nanoscale separations. These findings emphasize the critical role of short-range interactions, governed by the de-Broglie wavelength of Helium-4, and provide a rigorous theoretical basis for understanding photon-medium interactions at quantum scales. This novel single-particle approach departs from macroscopic mean-field models, offering unique insights into the microscopic mechanisms underlying energy dissipation. The results have potential implications for advancing quantum information processing, nonlinear optics, and the study of dissipative mechanisms in quantum fluids. Experimental validation of the theoretical predictions is proposed using state-of-the-art techniques in optical media, levitated nanoparticle systems, and integrated photonic circuits.

Figures

Figures reproduced from arXiv: 2411.17904 by the authors.

Figure 1
Figure 1. FIG. 1. The Helium Atom [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. FIG. 2. Perturbative Dissipation V/s Distance [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗

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Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. An Open Effective Field Theory for light in a medium

    hep-th 2024-12 conditional novelty 6.0 of 10

    A dissipative open EFT for photons in a medium is constructed, featuring a deformed advanced gauge symmetry and a noise constraint vμ(jμ+ξμ)=0.

Reference graph

Works this paper leans on

28 extracted references · 23 canonical work pages · cited by 1 Pith paper

  1. [18]

    J. S. Brooks. Phd thesis. Univ. of Oregon, Eugene, Oregon , 1973

    work page 1973

  2. [1]

    merlin.mbs aapmrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

    FUNCTION id.bst "merlin.mbs aapmrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked" ENTRY address archive archivePrefix author bookaddress booktitle chapter collaboration doi edition editor eid eprint howpublished institution isbn issn journal key language month note number organization pages primaryClass publisher school SLACcitation series title translat...

    2010

  3. [2]

    merlin.mbs aipauth4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

    FUNCTION id.bst "merlin.mbs aipauth4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked" ENTRY address archive archivePrefix author bookaddress booktitle chapter collaboration doi edition editor eid eprint howpublished institution isbn issn journal key language month note number organization pages primaryClass publisher school SLACcitation series title translat...

    2010

  4. [3]

    merlin.mbs aipnum4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

    FUNCTION id.bst "merlin.mbs aipnum4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked" ENTRY address archive archivePrefix author bookaddress booktitle chapter collaboration doi edition editor eid eprint howpublished institution isbn issn journal key language month note number organization pages primaryClass publisher school SLACcitation series title translati...

    2010

  5. [4]

    Superfluid mechanics

    P H Roberts and R J Donnelly. Superfluid mechanics. Annual Review of Fluid Mechanics , 6(Volume 6, 1974):179--225, 1974

    work page 1974

  6. [5]

    R.P. Feynman. Chapter ii application of quantum mechanics to liquid helium. volume 1 of Progress in Low Temperature Physics , pages 17--53. Elsevier, 1955

    work page 1955

  7. [6]

    E. P. Gross . Structure of a quantized vortex in boson systems . Il Nuovo Cimento , 20(3):454--477, May 1961

    work page 1961

  8. [7]

    Pitaevskii

    P.P. Pitaevskii. http://www.jetp.ras.ru/cgi-bin/e/index/r/40/2/p646?a=list. Journal of Experimental and Theoretical Physics , page 451–454, 1961

    work page 1961

Show all 28 references
  1. [8]

    Momentum of light in a dielectric

    Max Abraham. Momentum of light in a dielectric. Phys. Rev. , 115:1635, 1959

    1959

  2. [9]

    Beitrag zur theorie des elektromagnetischen feldes in die ruhenden medien

    Hermann Minkowski. Beitrag zur theorie des elektromagnetischen feldes in die ruhenden medien. Zeitschrift für Physik , 9:633, 1908

    1908

  3. [10]

    Radiation pressure of light in a dispersive medium

    Reginald Victor Jones. Radiation pressure of light in a dispersive medium. Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences , 360(1702):365--371, 1978

    1978

  4. [11]

    A. Ashkin. Acceleration and trapping of particles by radiation pressure. Phys. Rev. Lett. , 24:156--159, Jan 1970

    1970

  5. [12]

    Zakharov, S.L

    V.E. Zakharov, S.L. Musher, and A.M. Rubenchik. Hamiltonian approach to the description of non-linear plasma phenomena. Physics Reports , 129(5):285--366, 1985

    1985

  6. [13]

    Quantum fluids of light

    Iacopo Carusotto and Cristiano Ciuti. Quantum fluids of light. Reviews of Modern Physics , 85(1):299–366, February 2013

    2013

  7. [14]

    Primo, Pedro V

    Andr \'e G. Primo, Pedro V. Pinho, Rodrigo Benevides, Simon Gr \"o blacher, Gustavo S. Wiederhecker, and Thiago P. Mayer Alegre. Dissipative optomechanics in high-frequency nanomechanical resonators. Nature Communications , 14(1):5793, Sep 2023

    2023

  8. [15]

    E. A. Uehling . Polarization Effects in the Positron Theory . Physical Review , 48(1):55--63, July 1935

    1935

  9. [16]

    Alexei M. Frolov. Differential equation for the uehling potential. The European Physical Journal B , 97(6):83, Jun 2024

    2024

  10. [17]

    H. H. Jen. Photon-mediated dipole-dipole interactions as a resource for quantum science and technology in cold atoms, 2024

    2024

  11. [19]

    Evolution of the macroscopically entangled states in optical lattices

    Anatoli Polkovnikov. Evolution of the macroscopically entangled states in optical lattices. Phys. Rev. A , 68:033609, Sep 2003

    2003

  12. [20]

    Griffiths

    David J. Griffiths. Introduction to Quantum Mechanics (2nd Edition) . Pearson Prentice Hall, 2nd edition, April 2004

    2004

  13. [21]

    Ortiz and Raju S

    C. Ortiz and Raju S. Khatiwada. Gravitational friction from d'alembert's principle. Scientific Reports , 13(1):10364, Jun 2023

    2023

  14. [22]

    Suassuna, B

    B. Suassuna, B. Melo, and T. Guerreiro. Path integrals and nonlinear optical tweezers. Phys. Rev. A , 103:013110, Jan 2021

    2021

  15. [23]

    Perturbative nonlinear feedback forces for optical levitation experiments

    Oscar Kremer, Daniel Tandeitnik, Rafael Mufato, Igor Califrer, Breno Calderoni, Felipe Calliari, Bruno Melo, Guilherme Tempor\ ao, and Thiago Guerreiro. Perturbative nonlinear feedback forces for optical levitation experiments. Phys. Rev. A , 109:023521, Feb 2024

    2024

  16. [24]

    A. S. Davydov. Solitons in Molecular Systems . Reidel Publishing Company, Dordrecht, 1985

    1985

  17. [25]

    Observation of coexisting dissipative solitons in a mode-locked fiber laser

    Chengying Bao, Wonkeun Chang, Changxi Yang, Nail Akhmediev, and Steven T Cundiff. Observation of coexisting dissipative solitons in a mode-locked fiber laser. Phys. Rev. Lett. , 115(25):253903, December 2015

    2015

  18. [26]

    S. Haroche. Exploring the Quantum: Atoms, Cavities, and Photons . Oxford University Press, Oxford, 2006

    2006

  19. [27]

    merlin.mbs apsrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

    FUNCTION id.bst "merlin.mbs apsrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked" ENTRY address archive archivePrefix author bookaddress booktitle chapter collaboration doi edition editor eid eprint howpublished institution isbn issn journal key language month note number orga...

    2010

  20. [28]

    merlin.mbs apsrmp4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

    FUNCTION id.bst "merlin.mbs apsrmp4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked" ENTRY address archive archivePrefix author bookaddress booktitle chapter collaboration doi edition editor eid eprint howpublished institution isbn issn journal key language month note number orga...

    2010

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