Time-energy coherent states and adiabatic scattering

Journal of Mathematical Physics

Volumn 43, Issue 7, 2002, Pages 3415-3424

  Avron, J E ^a   Elgart, A ^b   Graf, G M ^c   Sadun, L ^d  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^b PRINCETON UNIVERSITY   (United States)

^c ETH ZURICH   (Switzerland)

^d UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036629929     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1476952     Document Type: Article

References (21)

1. H. Narnhofer and W. Thirring, Phys. Rev. A 26, 3646 (1982).
2. A. Perelomov, Generalized Coherent States and their Applications (Springer, New York, 1986).
3. H.L. Cycon, R.S. Froese, W. Kirsch, and B. Simon, Schrödinger Operators (Springer, New York, 1986).
4. E. Akkermans, J. Asch, and J. Avron, unpublished notes (1992).
5. A. Martinez and S. Nakamura, C.R. Acad. Sci. Paris 318, 1153 (1994).
6. J.E. Avron, A. Elgart, G.M. Graf, and L. Sadun, Phys. Rev. Lett. 87, 236601 (2001).
7. M. Reed and B. Simon, Scattering Theory (Academic, New York, 1978).
8. D.R. Yafaev, Mathematical Scattering Theory (AMS, Providence, RI, 1992).
9. K. Hepp, Commun. Math. Phys. 35, 265 (1974).
10. D. Mattis and E. Lieb, J. Math. Phys. 6, 304 (1965); F.D.M. Haldane, J. Phys. C 14, 2585 (1981).
11. D. Mattis and E. Lieb, J. Math. Phys. 6, 304 (1965); F.D.M. Haldane, J. Phys. C 14, 2585 (1981).
12. E. Akkermans, A. Comtet, J. Desbois; G. Montambaux, and C. Texier, Ann. Phys. 284, 10 (2000); J.E. Avron and L. Sadun, ibid. 206, 440 (1991); V. Kostrykin and R. Schrader, J. Phys, A 32, 595 (1999); T. Kottos and U. Smilansky, Ann. Phys. 274, 76 (1999); P. Exner, M. Tater, and D. Vaněk, J. Math. Phys. 42, 4050 (2001).
13. E. Akkermans, A. Comtet, J. Desbois; G. Montambaux, and C. Texier, Ann. Phys. 284, 10 (2000); J.E. Avron and L. Sadun, ibid. 206, 440 (1991); V. Kostrykin and R. Schrader, J. Phys, A 32, 595 (1999); T. Kottos and U. Smilansky, Ann. Phys. 274, 76 (1999); P. Exner, M. Tater, and D. Vaněk, J. Math. Phys. 42, 4050 (2001).
14. E. Akkermans, A. Comtet, J. Desbois; G. Montambaux, and C. Texier, Ann. Phys. 284, 10 (2000); J.E. Avron and L. Sadun, ibid. 206, 440 (1991); V. Kostrykin and R. Schrader, J. Phys, A 32, 595 (1999); T. Kottos and U. Smilansky, Ann. Phys. 274, 76 (1999); P. Exner, M. Tater, and D. Vaněk, J. Math. Phys. 42, 4050 (2001).
15. E. Akkermans, A. Comtet, J. Desbois; G. Montambaux, and C. Texier, Ann. Phys. 284, 10 (2000); J.E. Avron and L. Sadun, ibid. 206, 440 (1991); V. Kostrykin and R. Schrader, J. Phys, A 32, 595 (1999); T. Kottos and U. Smilansky, Ann. Phys. 274, 76 (1999); P. Exner, M. Tater, and D. Vaněk, J. Math. Phys. 42, 4050 (2001).
16. E. Akkermans, A. Comtet, J. Desbois; G. Montambaux, and C. Texier, Ann. Phys. 284, 10 (2000); J.E. Avron and L. Sadun, ibid. 206, 440 (1991); V. Kostrykin and R. Schrader, J. Phys, A 32, 595 (1999); T. Kottos and U. Smilansky, Ann. Phys. 274, 76 (1999); P. Exner, M. Tater, and D. Vaněk, J. Math. Phys. 42, 4050 (2001).
17. R. Beals, P. Deift, and C. Tomei, Direct and Inverse Scattering on the Line (AMS, Providence, 1988).
18. K. Schnee, dissertation, ETH-Zürich, 2002 (unpublished).
19. L. Eisenbud, dissertation, Princeton University, 1948 (unpublished); E.P. Wigner, Phys. Rev. 98, 145 (1955).
20. L. Eisenbud, dissertation, Princeton University, 1948 (unpublished); E.P. Wigner, Phys. Rev. 98, 145 (1955).
21. M. Büttiker, J. Math. Phys. 37, 4793 (1996).