Approach to the quantum evolution for underdamped, critically damped, and overdamped driven harmonic oscillators using unitary transformation

DOI10.1016/S0034-4877(03)80032-0zbMath1043.81011OpenAlexW1981364070MaRDI QIDQ1430979

Jeong-Ryeol Choi

Publication date: 27 May 2004

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(03)80032-0

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (5)

On the Lagrangian and Hamiltonian description of the damped linear harmonic oscillator ⋮ A hybrid approach for quantizing complicated motion of a charged particle in time-varying magnetic field ⋮ SU(1,1) LIE ALGEBRA APPLIED TO THE TIME-DEPENDENT QUADRATIC HAMILTONIAN SYSTEM PERTURBED BY A SINGULARITY ⋮ Quadratic time dependent Hamiltonians and separation of variables ⋮ Exact wave functions and coherent states for a forced damped harmonic oscillator

Cites Work

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• Geometric Phase, Hannay's Angle, and an Exact Action Variable
• Quantal phase factors accompanying adiabatic changes
• Classical adiabatic angles and quantal adiabatic phase
• The quantum damped driven harmonic oscillator
• A simple nonlinear dissipative quantum evolution equation
• Dissipative mass-accreting quantum oscillator
• Wavefunctions and minimum uncertainty states of the harmonic oscillator with an exponentially decaying mass

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