Quantum phases for a generalized harmonic oscillator

• Authors: Paul Bracken
• Languages of publication: EN

Abstracts

EN

An effective Hamiltonian for the generalized harmonic oscillator is determined by using squeezed state wavefunctions. The equations of motion over an extended phase space are determined and then solved perturbatively for a specific choice of the oscillator parameters. These results are used to calculate the dynamic and geometric phases for the generalized oscillator with this choice of parameters.

Keywords

EN

Geometric phase; generalized harmonic oscillator

Discipline

• 02.40.-k: Geometry, differential geometry, and topology(see also section 04 Relativity and gravitation)

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2008
• Volume: 6
• Issue: 1
• Pages: 135-140

Dates

published

1 - 3 - 2008

online

26 - 3 - 2008

Contributors

author

Paul Bracken

• Department of Mathematics, University of Texas, TX, 78541-2999, Texas, USA

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Identifiers

DOI

10.2478/s11534-007-0045-2