Squeezed coherent states and the one-dimensional Morse quantum system

被引:25
|
作者
Angelova, M. [1 ]
Hertz, A. [2 ]
Hussin, V. [3 ]
机构
[1] Northumbria Univ, Math Modelling Lab, Sch Comp Engn & Informat Sci, Newcastle Upon Tyne NE2 1XE, Tyne & Wear, England
[2] Univ Montreal, Dept Phys, Montreal, PQ H3C 3J7, Canada
[3] Univ Montreal, Dept Math & Stat, Montreal, PQ H3C 3J7, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
D O I
10.1088/1751-8113/45/24/244007
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The Morse potential one-dimensional quantum system is a realistic model for studying vibrations of atoms in a diatomic molecule. This system is very close to the harmonic oscillator one. We thus propose a construction of squeezed coherent states similar to the one of the harmonic oscillator using ladder operators. The properties of these states are analysed with respect to the localization in position, minimal Heisenberg uncertainty relation, the statistical properties and illustrated with examples using the finite number of states in a well-known diatomic molecule.
引用
收藏
页数:15
相关论文
共 50 条
  • [1] Squeezed coherent states and the one-dimensional Morse quantum system (vol 45, 244007, 2012)
    Angelova, M.
    Hertz, A.
    Hussin, V.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2013, 46 (12)
  • [2] ONE-DIMENSIONAL COHERENT-STATE REPRESENTATION OF SQUEEZED DISPLACED NUMBER STATES
    FOLDESI, I
    ADAM, P
    JANSZKY, J
    PHYSICS LETTERS A, 1995, 204 (01) : 16 - 20
  • [3] Coherent states for one-dimensional systems
    Fernández, DJ
    Advanced Summer School in Physics 2005: FRONTIERS IN CONTEMPORARY PHYSICS, 2006, 809 : 80 - 85
  • [4] Dynamical instability of one-dimensional Morse system
    Okabe, T
    Yamada, H
    MODERN PHYSICS LETTERS B, 1999, 13 (9-10): : 303 - 315
  • [5] Lyapunov instability of one-dimensional Morse system
    Okabe, T
    Yamada, H
    STATISTICAL PHYSICS, 2000, 519 : 338 - 340
  • [6] Generalized squeezed-coherent states of the finite one-dimensional oscillator and matrix multi-orthogonality
    Genest, Vincent X.
    Vinet, Luc
    Zhedanov, Alexei
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2012, 45 (20)
  • [7] COHERENT AND SQUEEZED STATES IN QUANTUM OPTICS
    JANNUSSIS, A
    BARTZIS, V
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1988, 102 (01): : 33 - 49
  • [8] Morse-like squeezed coherent states and some of their properties
    de los Santos-Sanchez, O.
    Recamier, J.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2013, 46 (37)
  • [9] Polaron-soliton squeezed states, ground state and quantum fluctuation in one-dimensional molecular crystals
    Yu Chao-Fan
    Liang Guo-Dong
    Cao Xi-Jin
    ACTA PHYSICA SINICA, 2008, 57 (07) : 4402 - 4411
  • [10] One-dimensional moving polarons with extended coherent states
    Chen, QH
    Ren, YH
    Jiao, ZK
    EUROPEAN PHYSICAL JOURNAL B, 1998, 3 (03): : 307 - 313