UNITARY TRANSFORMATION APPROACH FOR THE PHASE OF THE DAMPED DRIVEN HARMONIC OSCILLATOR

DOI10.1142/S021798490300644XzbMath1076.81519MaRDI QIDQ5706542

Jeong-Ryeol Choi

Publication date: 21 November 2005

Published in: Modern Physics Letters B (Search for Journal in Brave)

zbMATH Keywords

phasewave functionunitary transformationdamped harmonic oscillatorinvariant operator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (2)

QUANTUM STATES WITH CONTINUOUS SPECTRUM FOR THE TIME-DEPENDENT HARMONIC OSCILLATOR WITH A SINGULAR PERTURBATION ⋮ QUANTUM ANALYSIS FOR THE EVOLUTION OF THE COSMOLOGICAL CONSTANT VIA UNITARY TRANSFORMATION

Cites Work

• Berry phase in magnetic systems with point perturbations.
• Time-dependent perturbation theory for the construction of invariants of Hamiltonian systems
• Berry phase for a potential well transported in a homogeneous magnetic field
• Perturbed Landau system and non-adiabatic Berry's phase in two dimensions
• The quantum under-, critical- and over-damped driven harmonic oscillators
• Geometric Phase, Hannay's Angle, and an Exact Action Variable
• Quantal phase factors accompanying adiabatic changes
• The quantum damped driven harmonic oscillator
• Classical non-adiabatic angles
• Thomas precession, spin-orbit interaction, and Berry’s phase
• Berry's phase in the Floquet representation
• On geometric phases and dynamical invariants

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