Published December 5, 2003 | Version v1
Journal article

Squeezed states of the generalized minimum uncertainty state for the Caldirola-Kanai Hamiltonian

  • 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

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