Semiclassical trace formulae for systems with spin-orbit interactions: Successes and limitations of present approaches

Journal of Physics A: Mathematical and General

Volumn 35, Issue 29, 2002, Pages 6009-6032

  Amann, Ch ^a   Brack, M ^a  

^a UNIVERSITY OF REGENSBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037178650     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/29/306     Document Type: Review

References (49)

1. Gutzwiller M C 1971 J. Math. Phys. 12 343 and references therein
2. Cvitanović P (ed) 1992 Chaos focus issue on periodic orbit theory Chaos 2
3. Gutzwiller M C 1990 Chaos in Classical and Quantum Mechanics (New York: Springer)
4. Berggren K-F and Aberg S (eds) 2001 Quantum chaos Y2K Phys. Scr. T90
5. Haake F 2001 Quantum Signatures of Chaos 2nd edn (Berlin: Springer)
6. Balian R and Bloch C 1972 Ann. Phys., NY 69 76
7. Strutinsky V M 1975 Nukleonika 20 679 Strutinsky V M and Magner A G 1976 Sov. J. Part. Nucl. 7 138 Strutinsky V M, Magner A G, Ofengenden S R and Døssing T 1977 Z. Phys. A 283 269
8. Strutinsky V M 1975 Nukleonika 20 679 Strutinsky V M and Magner A G 1976 Sov. J. Part. Nucl. 7 138 Strutinsky V M, Magner A G, Ofengenden S R and Døssing T 1977 Z. Phys. A 283 269
9. Strutinsky V M 1975 Nukleonika 20 679 Strutinsky V M and Magner A G 1976 Sov. J. Part. Nucl. 7 138 Strutinsky V M, Magner A G, Ofengenden S R and Døssing T 1977 Z. Phys. A 283 269
10. Berry M V and Tabor M 1976 Proc. R. Soc. A 349 101 Berry M V and Tabor M 1977 Proc. R. Soc. A 356 375
11. Berry M V and Tabor M 1976 Proc. R. Soc. A 349 101 Berry M V and Tabor M 1977 Proc. R. Soc. A 356 375
12. Creagh S C and Littlejohn R G 1991 Phys. Rev. A 44 836 Creagh S C and Littlejohn R G 1992 J. Phys. A: Math. Gen. 25 1643
13. Creagh S C and Littlejohn R G 1991 Phys. Rev. A 44 836 Creagh S C and Littlejohn R G 1992 J. Phys. A: Math. Gen. 25 1643
14. Creagh S C 1996 Ann. Phys., NY 248 60 Brack M, Creagh S C and Law J 1998 Phys. Rev. A 57 788
15. Creagh S C 1996 Ann. Phys., NY 248 60 Brack M, Creagh S C and Law J 1998 Phys. Rev. A 57 788
16. Tomsovic S, Grinberg M and Ullmo U 1995 Phys. Rev. Lett. 75 4346 Ullmo D, Grinberg M and Tomsovic S 1996 Phys. Rev. E 54 135
17. Tomsovic S, Grinberg M and Ullmo U 1995 Phys. Rev. Lett. 75 4346 Ullmo D, Grinberg M and Tomsovic S 1996 Phys. Rev. E 54 135
18. Ozorio de Almeida A M and Hannay J H 1987 J. Phys. A: Math. Gen. 20 5873
19. Sieber M 1996 J. Phys. A: Math. Gen. 29 4715 Schomerus H and Sieber M 1997 J. Phys. A: Math. Gen. 30 4537 Sieber M and Schomerus H 1998 J. Phys. A: Math. Gen. 31 165
20. Sieber M 1996 J. Phys. A: Math. Gen. 29 4715 Schomerus H and Sieber M 1997 J. Phys. A: Math. Gen. 30 4537 Sieber M and Schomerus H 1998 J. Phys. A: Math. Gen. 31 165
21. Sieber M 1996 J. Phys. A: Math. Gen. 29 4715 Schomerus H and Sieber M 1997 J. Phys. A: Math. Gen. 30 4537 Sieber M and Schomerus H 1998 J. Phys. A: Math. Gen. 31 165
22. Brack M, Meier P and Tanaka K 1999 J. Phys. A: Math. Gen. 32 331
23. Brack M and Bhaduri R K 1997 Semiclassical physics Frontiers in Physics vol 96 (Reading, MA: Addison-Wesley)
24. Brack M 2001 Adv. Solid State Phys. 41 459
25. Littlejohn R G and Flynn W G 1991 Phys. Rev. A 44 5239
26. Littlejohn R G and Flynn W G 1992 Phys. Rev. A 45 7697
27. Frisk H and Guhr T 1993 Ann. Phys., NY 221 229
28. Bolte J and Keppeler S 1998 Phys. Rev. Lett. 81 1987 Bolte J and Keppeler S 1999 Ann. Phys., NY 274 125
29. Bolte J and Keppeler S 1998 Phys. Rev. Lett. 81 1987 Bolte J and Keppeler S 1999 Ann. Phys., NY 274 125
30. Amann Ch 2001 Semiklassische Näherungen zur Spin-Bahn Kopplung PhD Thesis Universität Regensburg webpage http://www.bibliothek.uni-regensburg.de/opus-cgi/w3-msql/opus/frontdoor.html? source_opuss=29
31. Brack M and Amann Ch 2001 Fission Dynamics of Atomic Clusters and Nuclei eds J da Providência et al (Singapore: World Scientific) p 5 (Preprint nucl-th/0010047)
32. Nilsson S G 1955 Mat.-Fys. Medd. K. Dan. Vidensk. Selsk. 29 Mottelson B R and Nilsson S G 1959 Mat.-Fys. Skr. Dan. Vid. Selsk. 1
33. Nilsson S G 1955 Mat.-Fys. Medd. K. Dan. Vidensk. Selsk. 29 Mottelson B R and Nilsson S G 1959 Mat.-Fys. Skr. Dan. Vid. Selsk. 1
34. Goeppert-Mayer M 1949 Phys. Rev. 75 1969
35. Berry M V and Mount K E 1972 Rep. Prog. Phys. 35 315
36. Strutinsky V M 1968 Nucl. Phys. A 122 1
37. Sieber M and Steiner F 1991 Phys. Rev. Lett. 67 1941 Sieber M 1992 Chaos 2 35
38. Sieber M and Steiner F 1991 Phys. Rev. Lett. 67 1941 Sieber M 1992 Chaos 2 35
39. Littlejohn R G and Flynn W G 1994 Ann. Phys., NY 243 334
40. Pletyukhov M, Amann Ch, Mehta M and Brack M 2002 Phys. Rev. Lett. at press
41. Bychkov Y and Rashba E 1984 J. Phys. C: Solid State Phys. 17 6039 and references therein
42. Darnhofer T, Suhrke M and Rössler U 1996 Europhys. Lett. 35 591
43. Keppeler S and Winkler R 2002 Phys. Rev. Lett. 88 046401
44. Brack M and Jain S R 1995 Phys. Rev. A 51 3462
45. Götz U, Pauli H C and Alder K 1971 Nucl. Phys. A 175 481
46. Jennings B K, Bhaduri R K and Brack M 1975 Nucl. Phys. A 253 29
47. Wintgen D 1987 Phys. Rev. Lett. 58 1589 Friedrich H and Wintgen D 1989 Phys. Rep. 183 39
48. Wintgen D 1987 Phys. Rev. Lett. 58 1589 Friedrich H and Wintgen D 1989 Phys. Rep. 183 39
49. Creagh S C, Robbins J M and Littlejohn R G 1990 Phys. Rev. A 42 1907