Wave functions of a time-dependent harmonic oscillator in a static magnetic field

被引：18
|
作者：
Ferreira, CAS [1 ]
Alencar, PTS [1 ]
Bassalo, JMF [1 ]
机构：
[1] UFPA, Dept Phys, BR-66075900 Belem, Para, Brazil
来源：
PHYSICAL REVIEW A | 2002年 / 66卷 / 02期
关键词：
D O I：
10.1103/PhysRevA.66.024103
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
In this paper, we solve for the exact wave functions of a two-dimensional harmonic oscillator under the influence of a static magnetic field. This is done through the use of the so-called Ermakov invariants, similarity transformed so as to obtain a time-independent Schrodinger equation. In the same manner, time-dependent eigenvalues are also computed. It is shown that previous results for the invariants are particular cases for the ones found in this work.
引用
收藏
页码：1 / 4
页数：4
相关论文
共 50 条
  • [41] Energy evolution in time-dependent harmonic oscillator
    Robnik, M
    Romanovski, VG
    OPEN SYSTEMS & INFORMATION DYNAMICS, 2006, 13 (02): : 197 - 222
  • [42] INVARIANTS FOR TIME-DEPENDENT HARMONIC-OSCILLATOR
    MACKI, JW
    JOURNAL OF MATHEMATICAL PHYSICS, 1977, 18 (06) : 1256 - 1258
  • [43] Critical scattering in a time-dependent harmonic oscillator
    Ishida, Atsuhide
    Kawamoto, Masaki
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 492 (02)
  • [44] A quadratic time-dependent quantum harmonic oscillator
    Onah, F. E.
    Herrera, E. Garcia
    Ruelas-Galvan, J. A.
    Juarez Rangel, G.
    Real Norzagaray, E.
    Rodriguez-Lara, B. M.
    SCIENTIFIC REPORTS, 2023, 13 (01)
  • [45] PROPAGATOR FOR THE TIME-DEPENDENT HARMONIC-OSCILLATOR
    MACEK, J
    PHYSICAL REVIEW A, 1990, 41 (03): : 1361 - 1364
  • [46] Symmetry of general time-dependent harmonic oscillator
    Kanasugi, H
    PROGRESS OF THEORETICAL PHYSICS, 1997, 97 (04): : 617 - 633
  • [47] TIME-DEPENDENT HARTREE APPROXIMATION AND TIME-DEPENDENT HARMONIC-OSCILLATOR MODEL
    BLAIZOT, JP
    NUCLEAR PHYSICS A, 1982, 377 (01) : 237 - 260
  • [48] THE PROPAGATOR OF THE TIME-DEPENDENT FORCED HARMONIC-OSCILLATOR WITH TIME-DEPENDENT DAMPING
    CHENG, BK
    JOURNAL OF MATHEMATICAL PHYSICS, 1986, 27 (01) : 217 - 220
  • [49] Time-dependent diffeomorphisms as quantum canonical transformations and the time-dependent harmonic oscillator
    Mostafazadeh, A
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (30): : 6495 - 6503
  • [50] Investigation of a harmonic oscillator in a magnetic field with damping and time dependent noncommutativity
    Dutta, Manjari
    Ganguly, Shreemoyee
    Gangopadhyay, Sunandan
    PHYSICA SCRIPTA, 2021, 96 (12)
12345