×

Quantum Lie systems and integrability conditions. (English) Zbl 1186.81067


MSC:

81R12 Groups and algebras in quantum theory and relations with integrable systems
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
PDF BibTeX XML Cite
Full Text: DOI arXiv

References:

[1] DOI: 10.5962/bhl.title.18549
[2] DOI: 10.1016/S0034-4877(07)80137-6 · Zbl 1153.34004
[3] Winternitz P., Lecture Notes in Physics 189, in: Nonlinear Phenomena (1983)
[4] Ibragimov N. H., Elementary Lie Group Analysis and Ordinary Differential Equations (1999) · Zbl 1047.34001
[5] Cariñena J. F., Int. J. Theor. Phys. 48 pp 1279–
[6] DOI: 10.1023/A:1010743114995 · Zbl 0990.34011
[7] Cariñena J. F., Electron. J. Diff. Eqns. 122 pp 1–
[8] DOI: 10.1103/PhysRevLett.58.1593
[9] DOI: 10.1016/j.physleta.2007.07.036 · Zbl 1217.81048
[10] DOI: 10.1119/1.1285944
[11] Yan F. L., Nuovo Cim. 112 pp 1519–
[12] DOI: 10.1103/PhysRevA.50.1903
[13] DOI: 10.1103/PhysRev.51.648 · Zbl 0016.28804
[14] Pati A. K., Phys. Rev. 51 pp 648–
[15] DOI: 10.1103/PhysRevLett.93.160408
[16] DOI: 10.1016/j.physleta.2006.03.050 · Zbl 1160.81509
[17] DOI: 10.1016/S0375-9601(97)00782-2 · Zbl 0969.81520
[18] DOI: 10.1016/S0034-4877(01)80063-X · Zbl 1020.34009
[19] DOI: 10.1090/surv/053
[20] DOI: 10.1016/0375-9601(91)90539-K
[21] DOI: 10.1016/j.physleta.2007.07.036 · Zbl 1217.81048
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.