Quantum anharmonic oscillator in the Heisenberg picture and multiple scale techniques -: art. no. 032120

被引：18

作者：

Auberson, G ^{[1
]}

Peyranère, MC ^{[1
]}

机构：

[1] Univ Montpellier 2, Lab Phys Math & Theor, CNRS, UMR 5825, F-34095 Montpellier 5, France

来源：

PHYSICAL REVIEW A | 2002年 / 65卷 / 03期

关键词：

D O I：

10.1103/PhysRevA.65.032120

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Multiple scale techniques are well known in classical mechanics to give perturbation series free from resonant terms. When applied to the quantum anharmonic oscillator, these techniques lead to interesting features concerning the solution of the Heisenberg equations of motion and the Hamiltonian spectrum.

引用

页数：9

共 50 条

[1] Quantum anharmonic oscillator in the Heisenberg picture and multiple scale techniques
Lab. de Physique Math. et Theorique, CNRS UMR 5825, Universiteá Montpellier II, F-34095 Montpellier Cedex 5, France
Physical Review A - Atomic, Molecular, and Optical Physics, 2002, 65 (3 A): : 1 - 032120
[2] Decoherence of wave packets in an anharmonic oscillator -: art. no. 032104
Földi, P
Benedict, MG
Czirják, A
Molnár, B
PHYSICAL REVIEW A, 2003, 67 (03):
[3] Quantum stabilization in anharmonic crystals -: art. no. 170603
Albeverio, S
Kondratiev, Y
Kozitsky, Y
Röckner, M
PHYSICAL REVIEW LETTERS, 2003, 90 (17)
[4] Multiple-scale technique and the frequency operator for anharmonic oscillators -: art. no. 044104
Fernández, RM
PHYSICAL REVIEW A, 2002, 66 (04):
[5] Multiple-scale analysis of the quantum anharmonic oscillator
Bender, CM
Bettencourt, LMA
PHYSICAL REVIEW LETTERS, 1996, 77 (20) : 4114 - 4117
[6] Optimization of the positive-P representation for the anharmonic oscillator -: art. no. 025801
Plimak, LI
Olsen, MK
Collett, MJ
PHYSICAL REVIEW A, 2001, 64 (02): : 4
[7] Entanglement in the quantum Heisenberg XY model -: art. no. 012313
Wang, XG
PHYSICAL REVIEW A, 2001, 64 (01): : 7
[8] Heisenberg evolution in a quantum theory of noncommutative fields -: art. no. 040
Mandanici, G
Marcianò, A
JOURNAL OF HIGH ENERGY PHYSICS, 2004, (09):
[9] Quantum oscillator on CPn in a constant magnetic field -: art. no. 085013
Bellucci, S
Nersessian, A
Yeranyan, A
PHYSICAL REVIEW D, 2004, 70 (08): : 085013 - 1
[10] Quantum nonlinear σ model for arbitrary spin Heisenberg antiferromagnets -: art. no. 167205
Dai, JH
Zhang, WM
PHYSICAL REVIEW LETTERS, 2005, 95 (16)

← 1 2 3 4 5 →