Time-dependent invariant associated to nonlinear Schrödinger–Langevin equations

DOI10.1063/1.527273zbMath0621.35090OpenAlexW2053306320MaRDI QIDQ3756704

Antonio B. Nassar

Publication date: 1986

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527273

zbMATH Keywords

frictional nonlinear termsnonlinear Schrödinger- Langevin equationsquantum dissipative time-dependent harmonic oscillatorquantum-hydrodynamical methodtime-dependent invariant

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear higher-order PDEs (35G20) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Stochastic Bohmian and scaled trajectories ⋮ Connection between quantum mechanical and classical time evolution of certain dissipative systems via a dynamical invariant ⋮ Application of the Hamilton-Jacobi method to the study of rheo-linear oscillators ⋮ On the relation between the Wigner function and an exact dynamical invariant

Cites Work

• Nonlinear time-dependent anharmonic oscillator: Asymptotic behavior and connected invariants
• Feynman propagator for time-dependent Lagrangians possessing an invariant quadratic in momentum
• Dynamical Noether invariants for time-dependent nonlinear systems
• Exact invariants for a class of time-dependent nonlinear Hamiltonian systems
• The Adiabatic Invariant of the Linear or Nonlinear Oscillator

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