The exact solution for the generalized time-dependent harmonic oscillator and its adiabatic limit
From MaRDI portal
Publication:1814427
DOI10.1016/0003-4916(90)90128-BzbMath0735.58042OpenAlexW2056296213MaRDI QIDQ1814427
Xiaochun Gao, Tiezheng Qian, Jing-Bo Xu
Publication date: 25 June 1992
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0003-4916(90)90128-b
Asymptotic behavior of solutions to PDEs (35B40) Applications of global analysis to the sciences (58Z05)
Related Items
Adiabatic and nonadiabatic evolution of a generalized damped harmonic oscillator ⋮ Canonical Approach to the Time-Dependent Parametric Oscillator with and without a Singular Potential ⋮ Lewis-Riesenfeld quantization and SU(1, 1) coherent states for 2D damped harmonic oscillator ⋮ Unitary equivalence and phase properties of the quantum parametric and generalized harmonic oscillators ⋮ Exact solution of the linear nonautonomous system with the \(\text{SU}(2)\) dynamical group: Inversion probability of a neutrino in a time-dependent magnetic field ⋮ On the quantum motion of a generalized time-dependent forced harmonic oscillator ⋮ Ermakov systems, exact solution, and geometrical angles and phases ⋮ Geometric phases and squeezed quantum states of relic gravitons ⋮ On the quantization of the electromagnetic field in conducting media ⋮ WAVE FUNCTION OF THE TIME-DEPENDENT INVERTED HARMONIC OSCILLATOR ⋮ Quantum motion, coherent states and geometric phase of a generalized damped pendulum ⋮ Unitary transformation approach to the exact solution for a class of time-dependent nonlinear Hamiltonian systems ⋮ Exact quantum-statistical dynamics of time-dependent generalized oscillators ⋮ Invariants and Lie algebraic solutions of Schrödinger equation
Cites Work