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Paper Citation Record · LEDGER

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background

As of 13 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2608.01894.

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pith.paper-citation-record.v1
2608.01894 v1

Coverage vector

measured 42 of 42 reference resolution

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measured 42 of 42 standing notices

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Reference resolution

42 of 42 outbound references displayed

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Outbound references

Observation 53c0c27f-fbaf-49f8-a211-8056f4d50203 · outbound

This paper cites Dissipative dynamical systems: I.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background Dissipative dynamical systems: I

Reference 1

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Observation 08876edd-8f7e-4e37-8575-a0d17928363c · outbound

This paper cites Classical mechanics of nonconservative systems.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background Classical mechanics of nonconservative systems

Reference 2

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Observation adfcd03a-609e-497a-a349-2d4f09ca40b2 · outbound

This paper cites Variational principles for dissipative (sub)systems, with applications to the theory of linear dispersion and geometrical optics.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background Variational principles for dissipative (sub)systems, with applications to the theory of linear dispersion and geometrical optics

Reference 3

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Observation ef6f7dfd-d636-4aa2-a814-87749aa46eb9 · outbound

This paper cites On dissipative systems and related variational principles.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background On dissipative systems and related variational principles

Reference 4

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Observation c367bf8f-f111-46bf-a6c4-a35cdf4b86dc · outbound

This paper cites Forze non conservative nella meccanica quantistica.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background Forze non conservative nella meccanica quantistica

Reference 5

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Observation 31158881-a1a4-410c-81f7-10731698a53e · outbound

This paper cites On the quantization of the dissipative systems.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background On the quantization of the dissipative systems

Reference 6

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Observation 28a0a716-69af-4f9d-bb28-f9aab5e70f71 · outbound

This paper cites Classical and quantum mechanics of the damped harmonic oscillator.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background Classical and quantum mechanics of the damped harmonic oscillator

Reference 7

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Observation a6a5ad95-a142-4d49-a996-6913b1d7d9c0 · outbound

This paper cites On the Lagrangian and Hamil- tonian description of the damped linear harmonic oscillator.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background On the Lagrangian and Hamil- tonian description of the damped linear harmonic oscillator

Reference 8

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Observation 342d7e40-8ce4-4d47-b744-bf11b5e9849c · outbound

This paper cites Eisenhart lifts and symmetries of time-dependent systems.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background Eisenhart lifts and symmetries of time-dependent systems

Reference 9

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Observation 74ea8c88-beef-4f80-8b40-4a615ad9e5f6 · outbound

This paper cites A round trip from Caldirola to Bateman systems.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background A round trip from Caldirola to Bateman systems

Reference 10

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Observation 9670b4b6-6144-4b32-aa43-19955b0cc59a · outbound

This paper cites Interrelations between different canonical descriptions of dissipative systems.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background Interrelations between different canonical descriptions of dissipative systems

Reference 11

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Observation cc6bea12-0c4f-4512-9675-b83387d218f5 · outbound

This paper cites Time-dependent diffeomorphisms as quantum canonical transformations and the time-dependent harmonic oscillator.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background Time-dependent diffeomorphisms as quantum canonical transformations and the time-dependent harmonic oscillator

Reference 12

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Observation 049ca7c8-dfde-49af-9039-048679aaa4d1 · outbound

This paper cites Dynamics of dark energy.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background Dynamics of dark energy

Reference 13

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Observation 1ea7a16e-6f20-451a-8984-6a5b1dd3a21e · outbound

This paper cites Time-Dependent Dissipative Massive Scalar Field.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background Time-Dependent Dissipative Massive Scalar Field

Reference 14

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Observation cd359400-b5e1-43ea-adc0-0746cc5f5707 · outbound

This paper cites Alternative Frenkel liquid Lagrangian.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background Alternative Frenkel liquid Lagrangian

Reference 15

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Observation e9bfa735-2d26-418a-8092-f2126909bf9d · outbound

This paper cites Quantum dissipation in a scalar field theory with gapped momentum states.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background Quantum dissipation in a scalar field theory with gapped momentum states

Reference 16

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Observation 73671f06-7dd5-4e20-9eac-9901a6daef30 · outbound

This paper cites Field theory of dissipative systems with gapped momentum states.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background Field theory of dissipative systems with gapped momentum states

Reference 17

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Observation 186dd208-0bb0-41b4-84b6-dc11c96f39d6 · outbound

This paper cites First principles quantization of a non-conservative scalar field.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background First principles quantization of a non-conservative scalar field

Reference 18

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Observation 18bd7320-8d99-49ee-8b22-3e65b9bddf94 · outbound

This paper cites Construction of a robust warm inflation mechanism.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background Construction of a robust warm inflation mechanism

Reference 19

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Observation bcc85406-8a17-45f8-9223-55d4325953a5 · outbound

This paper cites Dissipative quintessence, and its cosmological implications.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background Dissipative quintessence, and its cosmological implications

Reference 20

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Observation cc2f3c9c-1431-4f24-b81b-837f7678c9d8 · outbound

This paper cites Bateman dual fields and cosmological dissipation: tachyons, Born–Infeld dynamics, and Hubble-scale stabilization.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background Bateman dual fields and cosmological dissipation: tachyons, Born–Infeld dynamics, and Hubble-scale stabilization

Reference 21

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Observation 681abf18-9e39-48a2-aa9d-0913adc3f86d · outbound

This paper cites On the analytic representation of Newtonian systems.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background On the analytic representation of Newtonian systems

Reference 22

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Observation c7067261-c4cf-4697-9937-688348f38148 · outbound

This paper cites A no-go result for the quantum damped harmonic oscillator.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background A no-go result for the quantum damped harmonic oscillator

Reference 23

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Observation 9d64591b-91cc-49af-a1ee-778a0ba6a73c · outbound

This paper cites Bateman oscillators: Caldirola–Kanai and null Lagrangians and gauge functions.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background Bateman oscillators: Caldirola–Kanai and null Lagrangians and gauge functions

Reference 24

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Observation 8245bbf9-2198-4180-b399-3f642692329a · outbound

This paper cites Quantization of the damped harmonic oscillator based on a modified Bateman Lagrangian.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background Quantization of the damped harmonic oscillator based on a modified Bateman Lagrangian

Reference 25

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 49168842-8816-4995-a452-0ccb8fb6d59e · outbound

This paper cites Two quantization approaches to the Bateman oscillator model.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background Two quantization approaches to the Bateman oscillator model

Reference 26

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Observation 7cbc457e-29c8-4f18-8c4b-09817cac5489 · outbound

This paper cites Bateman’s dual system revisited: quantization, geometric phase and relation with the ground-state energy of the linear harmonic oscillator.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background Bateman’s dual system revisited: quantization, geometric phase and relation with the ground-state energy of the linear harmonic oscillator

Reference 27

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Observation dfa0f2c6-1d7e-4796-9b76-e0f4a1dd2a65 · outbound

This paper cites Quantum damped oscillator II: Bateman’s Hamiltonian vs. 2D parabolic potential barrier.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background Quantum damped oscillator II: Bateman’s Hamiltonian vs. 2D parabolic potential barrier

Reference 28

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Observation 32a9405b-fddf-4df2-9db3-b5c00eca5c27 · outbound

This paper cites Effective description of the quantum damped harmonic oscillator: revisiting the Bateman dual system.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background Effective description of the quantum damped harmonic oscillator: revisiting the Bateman dual system

Reference 29

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Observation a40e2ac1-e60a-4135-bb34-1ba7a52a3238 · outbound

This paper cites Connecting dissipation and noncommutativity: A Bateman system case study.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background Connecting dissipation and noncommutativity: A Bateman system case study

Reference 30

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation d2b33767-b156-4c48-b741-f3b6977d1f95 · outbound

This paper cites On the theory of time-dependent linear canonical transformations as applied to Hamiltonians of the harmonic oscillator type.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background On the theory of time-dependent linear canonical transformations as applied to Hamiltonians of the harmonic oscillator type

Reference 31

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 8ac04e80-672b-4bff-9190-5f3f63077913 · outbound

This paper cites Thermal damping of mass- modulating scalars.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background Thermal damping of mass- modulating scalars

Reference 32

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 86e69610-ec4d-43ca-9b21-6b30b1335eae · outbound

This paper cites Integrating factors, adjoint equations and Lagrangians.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background Integrating factors, adjoint equations and Lagrangians

Reference 33

Resolution
malformed identifier
no resolver link, observed 2026-08-04T18:57:02.517161Z

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source=pdf_text observed=2026-08-04T18:57:02.517161Z digest=sha256:a4aca3a74d2b71cae2834591597196f5a137252ae646c08d9810b2e82069eb83

Observation 5d54704d-f923-4219-9b7d-7d246f699c56 · outbound

This paper cites The cosmological constant problem.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background The cosmological constant problem

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-04T18:57:02.519256Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:57:02.519256Z digest=sha256:73a91426a8fb85eb8ea6351d8c55e0fad3853b45a8680a8390fe7d16341d5c15

Observation d7a81b3f-c48e-4e13-ae34-e38d4bc46928 · outbound

This paper cites Coherent scalar-field oscillations in an expanding universe.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background Coherent scalar-field oscillations in an expanding universe

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-04T18:57:02.521626Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:57:02.521626Z digest=sha256:7236292ee9099b4326f7f8eba591113771ee004fffda250825a5dcc6cf97c1f4

Observation 14bf14de-3bd3-42cb-b9f3-72264cee0f98 · outbound

This paper cites Gravitational EFT for dissipative open systems.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background Gravitational EFT for dissipative open systems

Reference 36

Resolution
malformed identifier
no resolver link, observed 2026-08-04T18:57:02.523766Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:57:02.523766Z digest=sha256:71e83b417f493ce8c7a631f799435a82b748c65ff6358b50f5b2f7da5ada821b

Observation 6bef05c7-aca6-4a59-9575-a442c186b7f8 · outbound

This paper cites Standard and non-standard Lagrangians for dissipative dynamical systems with variable coefficients.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background Standard and non-standard Lagrangians for dissipative dynamical systems with variable coefficients

Reference 37

Resolution
verified exact
doi, observed 2026-08-04T18:59:20.809733Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 642e1e16-faef-4072-b0fd-156bac7a548a · outbound

This paper cites On the exact solutions of the damped harmonic oscillator with a time- dependent damping constant and a time-dependent angular frequency.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background On the exact solutions of the damped harmonic oscillator with a time- dependent damping constant and a time-dependent angular frequency

Reference 38

Resolution
verified exact
doi, observed 2026-08-04T18:59:20.411533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation b2e220ff-ca87-46d6-8dc6-12c0ae9a541b · outbound

This paper cites A Hamiltonian model for linear friction in a homogeneous medium.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background A Hamiltonian model for linear friction in a homogeneous medium

Reference 39

Resolution
verified exact
doi, observed 2026-08-04T18:59:20.071214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-04T18:57:02.529696Z digest=sha256:d9496b0714013c358a899670bf3ca2cafe28cbb12784c9e92d85606a97db6af6

Observation 5b3de520-9880-4b7f-b78d-1681b6a3b20a · outbound

This paper cites Minimal coupling method and the dissipative scalar field theory.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background Minimal coupling method and the dissipative scalar field theory

Reference 40

Resolution
verified exact
doi, observed 2026-08-04T18:59:19.743962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-04T18:57:02.531745Z digest=sha256:cfbe6a7080c08e73eb6e48b7c401dabec6aa758c2e93ddbcd4e8e096ff1dfbb2

Observation da39ac29-c3d7-4571-9b36-cdb67575007c · outbound

This paper cites Dissipative Scalar Field Theory: A Covariant Formula- tion.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background Dissipative Scalar Field Theory: A Covariant Formula- tion

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-04T18:57:02.533887Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:57:02.533887Z digest=sha256:d900f16485358240847474db94c30d6757d3e56358261a583adba52fe7893275

Observation e8b10ddc-af7d-4bb9-b708-75502b3032b6 · outbound

This paper cites Dissipative effects in the effective field theory of inflation.

A Time-Dependent Canonical Transformation between Bateman and Doubled Caldirola--Kanai Systems for a Homogeneous Massive Scalar Field on a Prescribed FLRW Background Dissipative effects in the effective field theory of inflation

Reference 42

Resolution
verified exact
doi, observed 2026-08-04T18:59:19.358230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Pith citing papers

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