Time-dependent coupled harmonic oscillators

DOI10.1063/1.4709748zbMath1275.81033OpenAlexW1989363424MaRDI QIDQ2860770

D. X. Macedo, I. Guedes

Publication date: 20 November 2013

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

Full work available at URL: https://doi.org/10.1063/1.4709748

zbMATH Keywords

Milne-Pinney equationLewis and Riesenfeld invariant method

Mathematics Subject Classification ID

Hamilton's equations (70H05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (5)

Interacting universes and the cosmological constant ⋮ Virtual Excitations and Entanglement Dynamics and Polygamy in Three Ultra‐Strongly Coupled Systems ⋮ Dynamics and redistribution of entanglement and coherence in three time-dependent coupled harmonic oscillators ⋮ Comment on “Time-dependent coupled harmonic oscillators” [J. Math. Phys. 53, 052101 (2012)] ⋮ Temporal evolution of instantaneous phonons in time-dependent harmonic oscillators

Cites Work

• A nonlinear superposition rule for solutions of the Milne-Pinney equation
• An alternative approach to exact wave functions for time-dependent coupled oscillator model of charged particle in variable magnetic field
• The time-dependent coupled oscillator model for the motion of a charged particle in the presence of a time-varying magnetic field
• Noether’s theorem, time-dependent invariants and nonlinear equations of motion
• Quantum theory for coupled harmonic oscillators with exponentially changing masses
• Class of Exact Invariants for Classical and Quantum Time-Dependent Harmonic Oscillators
• Quantum fluctuations of a non-dissipative mesoscopic inductance coupling circuit in a displaced squeezed Fock state
• Quantum squeezing effect of mesoscopic capacitance-inductance-resistance coupled circuit

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