A Hamiltonian-based quantum-classical solvation hydrodynamics framework is introduced to incorporate consistent backreaction, preserve decoherence, and add dissipative terms for inertial and polarization effects using an ideal polar fluid model.
Tronci, Madelung hydrodynamics of spin-orbit coupling: action princi- ples, currents, and correlations, arXiv:2601.10698 [quant-ph] (2026)
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The koopmon method based on Koopman wavefunctions models quantum spin and classical orbital dynamics in Rashba nanowires and reproduces full quantum results more accurately than Ehrenfest dynamics, especially with harmonic potentials.
The Dirac equation emerged from multiple simultaneous contributions in 1928, with Kramers' independent work and modern derivations from Ehrenfest relations and hydrodynamics now detailed.
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Quantum-classical solvation hydrodynamics: a Hamiltonian modeling framework
A Hamiltonian-based quantum-classical solvation hydrodynamics framework is introduced to incorporate consistent backreaction, preserve decoherence, and add dissipative terms for inertial and polarization effects using an ideal polar fluid model.
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Quantum-classical dynamics of Rashba spin-orbit coupling
The koopmon method based on Koopman wavefunctions models quantum spin and classical orbital dynamics in Rashba nanowires and reproduces full quantum results more accurately than Ehrenfest dynamics, especially with harmonic potentials.
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The Birth of Quantum Mechanics and the Dirac Equation
The Dirac equation emerged from multiple simultaneous contributions in 1928, with Kramers' independent work and modern derivations from Ehrenfest relations and hydrodynamics now detailed.