The stochastic limit of the Fröhlich Hamiltonian: Relations with the quantum hall effect

International Journal of Theoretical Physics

Volumn 42, Issue 10, 2003, Pages 2515-2530

  Accardi, L ^a   Bagarello, F ^b  

^a UNIVERSITY OF ROME TOR VERGATA   (Italy)

^b UNIVERSITY OF PALERMO   (Italy)

Author keywords

Fr hlich Hamiltonian; Stochastic limit

Indexed keywords

EID: 0347094069     PISSN: 00207748     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:IJTP.0000005972.29856.a8     Document Type: Article

References (11)

1. Accardi, L., Frigerio, A., and Lu, Y. G. (1990). Communications in Mathematical Physics 131, 537-570.
2. Accardi L., Kozyrev, S. V., and Volovich, I. V. (1996). Dynamics of dissipative two-state systems in the stochastic approximation. Physical Review A 56 (3).
3. Accardi, L., Kozyrev, S. V., and Volovich, I. V. (1999). Dynamical origins of q-deformations, in QED and the stochastic limit. Journal of Physics A, Mathematical and General 32, 3485-3495; q-alg/9807137.
4. Accardi, L. and Lu, Y. G. (1960). Communications in Mathematical Physics 180, 605-632.
5. Accardi, L., Lu, Y. G., and Volovich, I. (2001). Quantum Theory and Its Stochastic Limit, Springer, Berlin.
6. Bagarello, F., Marchio, G., and Strocchi, F. (1993). Physical Review B 48, 5306.
7. Chakraborty, T. and Pietiläinen, P. (1988). The FQHE, Springer, Berlin.
8. Cohen-Tannoudji, C., Diu, B., and Lalöe, F. (1977). Quantum Mechanics, Wiley, New York.
9. Girvin, S. M. (1999). The Quantum Hall Effect: Novel Excitations and Broken Symmetries, Springer, Berlin.
10. Gradshteyn, I. S. and Ryzhik, I. M. (1980). Table of Integrals, Series and Products, Academic Press, New York and London.
11. Strocchi, F. (xxxx). Elements of Quantum Mechanics of Infinite Systems, World Scientific, Singapore.