BiHamiltonian quantum systems and Weyl quantization

Reports on Mathematical Physics

Volumn 48, Issue 1-2, 2001, Pages 149-157

  Marmo, G ^a   Simoni, A ^a   Ventriglia, F ^a  

^a INFN SEZIONE DI NAPOLI   (Italy)

Author keywords

Creation and annihilation operators; Heisenberg Weyl algebra; Symplectic structures; Weyl systems

Indexed keywords

EID: 0001233427     PISSN: 00344877     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0034-4877(01)80074-4     Document Type: Article

References (14)

1. Douglas J. Trans. Am. Math. Soc. 50:1941;71.
2. Marmo G., Saletan E.J. Nuovo Cimento. 40B:1977;57.
3. Morandi G., Ferrario C., Lo Vecchio G., Marmo G., Rubano C. Phys. Rep. 188:1990;147-284.
4. Wigner E.P. Phys. Rev. 77:1950;711.
5. Man'ko V.I., Marmo G., Sudarshan E.C.G., Zaccaria F. Int. J. Mod. Phys. 11B:1997;1281-1296.
6. Dubrovin B.A., Marmo G., Simoni A. Mod. Phys. Lett. A5:1990;1229.
7. Thirring W. Lectures in Theoretical Physics. 3:1981;Springer, New York. Wien.
8. Streater R.F. Comm. Math. Phys. 2:1966;354.
9. Aniello P., Man'ko V., Marmo G., Solimeno S., Zaccaria F. On the Coherent States, Displacement Operators and Quasidistributions Associated with Deformed Quantum Oscillators. June 2000;University of Naples. preprint.
10. Man'ko V., Marmo G., Porzio A., Solimeno S., Zaccaria F. Phys. Rev. A. 2000;. to appear.
11. Jordan P. Z. Phys. 94:1935;531.
12. Schwinger J. Biedenharn L.C., Van Dam H. On Angular Momentum in Quantum Theory of Angular Momentum. 1995;Academic, New York.
13. Man'ko V.I., Marmo G., Vitale P., Zaccaria F. Int. J. Mod. Phys. 9A:1994;5541-5561.
14. Giordano M., Marmo G., Simoni A. Antoine J.P. Symplectic and Lagrangian Realization of Poisson Manifolds in Quantization, Coherent States and Complex Structures. 1995;Plenum Press, New York.