Quantum phases for a generalized harmonic oscillator

• Autorzy: Paul Bracken
• Języki publikacji: EN

Abstrakty

EN

An effective Hamiltonian for the generalized harmonic oscillator is determined by using squeezed state wavefunctions. The equations of motion over an extended phase space are determined and then solved perturbatively for a specific choice of the oscillator parameters. These results are used to calculate the dynamic and geometric phases for the generalized oscillator with this choice of parameters.

Słowa kluczowe

EN

Geometric phase; generalized harmonic oscillator

• Czasopismo: Open Physics
• Rocznik: 2008
• Tom: 6
• Numer: 1
• Strony: 135-140

Daty

wydano

2008-03-01

online

2008-03-26

Twórcy

autor

Paul Bracken

• Department of Mathematics, University of Texas, TX, 78541-2999, Texas, USA,

Bibliografia

• [1] M.V. Berry, J. Phys. A-Math. Gen. 18, 15 (1985) http://dx.doi.org/10.1088/0305-4470/18/1/012[Crossref]
• [2] J.H. Hannay, J. Phys. A-Math. Gen. 18, 221 (1985) http://dx.doi.org/10.1088/0305-4470/18/2/011[Crossref]
• [3] B. Simon, Phys. Rev. Lett. 51, 2167 (1983) http://dx.doi.org/10.1103/PhysRevLett.51.2167[Crossref]
• [4] Y. Aharonov, J. Anandan, Phys. Rev. Lett. 58, 1593 (1987) http://dx.doi.org/10.1103/PhysRevLett.58.1593[Crossref]
• [5] Y. Aharonov, J. Anandan, Phys. Rev. Lett. 65, 1697 (1990) http://dx.doi.org/10.1103/PhysRevLett.65.3065[Crossref]
• [6] F. Wilczek, A. Zee, Phys. Rev. Lett. 51, 2250 (1983) http://dx.doi.org/10.1103/PhysRevLett.51.2250[Crossref]
• [7] I.J.R. Aitchison, K. Wanelik, Proc. R. Soc. 439, 25 (1992) http://dx.doi.org/10.1098/rspa.1992.0131[Crossref]
• [8] D.B. Monteoliva, H.J. Korsch, J.A. Nuñez, J. Phys. A-Math. Gen. 27, 6877 (1994) http://dx.doi.org/10.1088/0305-4470/27/20/025[Crossref]
• [9] M. Maanache, J. Math. Phys. 39, 161 (1998) http://dx.doi.org/10.1063/1.532341[Crossref]
• [10] J. Anandan, Found. Phys. 21, 1265 (1991) http://dx.doi.org/10.1007/BF00732829[Crossref]
• [11] W.M. Zhang, D.H. Feng, R. Gilmore, Rev. Mod. Phys. 62, 867 (1990) http://dx.doi.org/10.1103/RevModPhys.62.867[Crossref]
• [12] Y. Tsui, Y. Fujiwarara, Prog. Theor. Phys. 86, 443 (1991) http://dx.doi.org/10.1143/PTP.86.443[Crossref]
• [13] R. Jackiw, A. Kerman, Phys. Lett. 71, 158 (1979) http://dx.doi.org/10.1016/0375-9601(79)90151-8[Crossref]

Identyfikatory

DOI

10.2478/s11534-007-0045-2