Construction of time-dependent dynamical invariants: A new approach

2012/04/01 by M. C. Bertin, Mario Cezar Bertin, B. M. Pimentel +2 · 4 citations
Physics and Astronomy · #Quantum Electrodynamics and Casimir Effect #Mechanical and Optical Resonators #Quantum Mechanics and Non-Hermitian Physics

paper · doi:10.1063/1.3702824

Abstract

We propose a new way to obtain polynomial dynamical invariants of the classical and quantum time-dependent harmonic oscillator from the equations of motion. We also establish relations between linear and quadratic invariants, and discuss how the quadratic invariant can be related to the Ermakov invariant.

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• Invariant Quantum States of Quadratic Hamiltonians. [europepmc]
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