Temporal evolution of instantaneous phonons in time-dependent harmonic oscillators

DOI10.1063/1.4914337zbMath1308.82066OpenAlexW2043360353MaRDI QIDQ5245224

Zhenshan Yang

Publication date: 7 April 2015

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

Full work available at URL: https://doi.org/10.1063/1.4914337

Mathematics Subject Classification ID

Statistical mechanics of solids (82D20) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (2)

Time symmetry breaking in Bose–Einstein condensates ⋮ Time evolution of two-dimensional quadratic Hamiltonians: A Lie algebraic approach

Cites Work

• Quantum integrals of motion for variable quadratic Hamiltonians
• On the quantum motion of a generalized time-dependent forced harmonic oscillator
• Coherent states for the time dependent harmonic oscillator: the step function
• Time-dependent coupled harmonic oscillators
• Exact time dependence of solutions to the time-dependent Schrödinger equation
• A simple derivation of the exact wavefunction of a harmonic oscillator with time-dependent mass and frequency
• Exact Quantization Conditions. II
• Class of Exact Invariants for Classical and Quantum Time-Dependent Harmonic Oscillators

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