Published December 5, 2003
| Version v1
Journal article
Squeezed states of the generalized minimum uncertainty state for the Caldirola-Kanai Hamiltonian
Creators
- 1. Asia Pacific Center for Theoretical Physics, Pohang 790-784 (Korea, Republic of)
- 2. Department of Physics, Kunsan National University, Kunsan 573-701 (Korea, Republic of)
Description
We show that the ground state of the well-known pseudo-stationary states for the Caldirola-Kanai Hamiltonian is a generalized minimum uncertainty state, which has the minimum allowed uncertainty ΔqΔp = ℎσ0/2, where σ0 (≥1) is a constant depending on the damping factor and natural frequency. The most general symmetric Gaussian states are obtained as the one-parameter squeezed states of the pseudo-stationary ground state. It is further shown that the coherent states of the pseudo-stationary ground state constitute another class of the generalized minimum uncertainty states
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/36/12089/a3_48_011.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/36/12089/a3_48_011.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/36/48/011;
- PII
- S0305-4470(03)64672-X;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 36
- Journal Issue
- 48
- Journal Page Range
- p. 12089-12095
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35018334
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- GROUND STATES; HAMILTONIANS; PLANCK LAW; QUANTUM MECHANICS; UNCERTAINTY PRINCIPLE
- Descriptors DEC
- ENERGY LEVELS; MATHEMATICAL OPERATORS; MECHANICS; QUANTUM OPERATORS