Symmetry breaking and bifurcations in the periodic orbit theory. I

Progress of Theoretical Physics

Volumn 102, Issue 3, 1999, Pages 551-598

  Magner, Alexander G ^a,b,c   Fedotkin, Sergey N ^a,b   Arita, Ken Ichiro ^d   Misu, Toshiyuki ^e   Matsuyanagi, Kenichi ^c   Schachner, Thomas ^b   Brack, Matthias ^b  

^a INSTITUTE FOR NUCLEAR RESEARCH   (Ukraine)

^b UNIVERSITY OF REGENSBURG   (Germany)

^c KYOTO UNIVERSITY   (Japan)

^d NAGOYA INSTITUTE OF TECHNOLOGY   (Japan)

^e TOHOKU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033197028     PISSN: 0033068X     EISSN: None     Source Type: Journal    
DOI: 10.1143/PTP.102.551     Document Type: Article

References (59)

1. M. C. Gutzwiller, J. Math. Phys. 12 (1971), 343; and earlier references quoted therein.
2. M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer-Verlag, New York, 1990).
3. R. B. Balian and C. Bloch, Ann. of Phys. 69 (1972), 76; and earlier references quoted therein.
4. M. V. Berry and M. Tabor, Proc. Roy. Soc. London A349 (1976), 101.
5. M. V. Berry and M. Tabor, J. of Phys. A10 (1977), 371.
6. V. M. Strutinsky, A. G. Magner, S. R. Ofengenden and T. Døssing, Z. Phys. A283 (1977), 269.
7. M. Brack and R. K. Bhaduri, Semiclassical Physics (Addison and Wesley. Reading, 1997).
8. V. M. Strutinsky, Nucleonica 20 (1975), 679.
9. V. M. Strutinsky and A. G. Magner, Sov. Phys. Part. & Nucl. 7 (1977), 138.
10. S. C. Creagh and R. G. Littlejohn, Phys. Rev. A44 (1990), 836; J. of Phys. A25 (1992), 1643.
11. S. C. Creagh and R. G. Littlejohn, Phys. Rev. A44 (1990), 836; J. of Phys. A25 (1992), 1643.
12. A. G. Magner, S. N. Fedotkin, F. A. Ivanyuk, P. Meier, M. Brack, S. M. Reimann and H. Koizumi, Ann. of Phys. 6 (1997), 555.
13. A. G. Magner, S. N. Fedotkin, F. A. Ivanyuk, P. Meier and M. Brack, Czech. J. of Phys. 48 (1998), 845.
14. A. G. Magner et al., to be published.
15. S. Okai, H. Nishioka and M. Ohta, Mem. Konan Univ. Sci. Ser. 37 (1) (1990), 29.
16. H. Nishioka, M. Ohta and S. Okai, Mem. Konan Univ. Sci. Ser. 38 (2) (1991), 1.
17. H. Nishioka, N. Nitanda, M. Ohta and S. Okai, Mem. Konan Univ. Sci. Ser. 39 (2) (1992), 67.
18. H. Nishioka, M. Ohta and S. Okai, Konan Univ. Preprint (unpublished, 1993).
19. K. Arita and K. Matsuyanagi, Nucl. Phys. A592 (1995), 9.
20. Th. Schachner, Diploma thesis, Regensburg University (unpublished, 1997).
21. A. Sugita, K. Arita and K. Matsuyanagi, Prog. Theor. Phys. 100 (1998), 597.
22. K. Arita, A. Sugita and K. Matsuyanagi, Proc. Int. Conf. on "Atomic Nuclei and Metallic Clusters," Praha, 1997, Czech. J. of Phys. 48 (1998), 821.
23. K. Arita, A. Sugita and K. Matsuyanagi, Prog. Theor. Phys. 100 (1998), 1223.
24. M. Brack and S. R. Jain, Phys. Rev. A51 (1995), 3462.
25. P. J. Richens, J. of Phys. A15 (1982), 2110.
26. M. Sieber, J. of Phys. A30 (1997), 4563.
27. H. Waalkens, J. Wiersig and H. Dullin, Ann. of Phys. 260 (1997), 50.
28. A. M. Ozorio de Almeida and J. H. Hannay, J. of Phys. A20 (1987), 5873.
29. A. M. Ozorio de Almeida: Hamiltonian Systems: Chaos and Quantization (Cambridge University Press, Cambridge, 1988).
30. M. Sieber, J. of Phys. A29 (1996), 4716.
31. M. Sieber, J. of Phys. A30 (1997), 4563.
32. H. Schomerus and M. Sieber, J. of Phys. A30 (1997), 4537.
33. S. Tomsovic, M. Grinberg and D. Ullmo, Phys. Rev. Lett 75 (1995), 4346.
34. D. Ullmo, M. Grinberg and S. Tomsovic, Phys. Rev. E54 (1996), 135.
35. M. Brack, P. Meier and K. Tanaka, J. of Phys. A32 (1999), 331.
36. S. C. Creagh, Ann. of Phys. 248 (1997), 60.
37. M. Brack, S. C. Creagh and J. Law, Phys. Rev. A57 (1998), 788.
38. A. G. Magner, M. Brack, S. N. Fedotkin and K. Matsuyanagi, manuscript in preparation.
39. A. D. Bruno, Preprint Inst. Prikl. Mat. Akad. Nauk SSSR Moskva (in Russian, 1970), p. 44 (quoted in Ref. 30)).
40. M. V. Fedoryuk, Sov. J. Comp. Math, and Math. Phys. 4 (1964), 671; 10 (1970), 286.
41. M. V. Fedoryuk, Sov. J. Comp. Math, and Math. Phys. 4 (1964), 671; 10 (1970), 286.
42. V. P. Maslov, Theor. and Math. Phys. 2 (1970), 30.
43. M. V. Fedoryuk, Saddle-Point Method, in Russian (Nauka, Moscow 1977).
44. M. V. Fedoryuk, Asymptotics: Integrals and sums, in Russian (Nauka, Moscow 1987).
45. H. Nishioka, K. Hansen and B. R. Mottelson, Phys. Rev. B42 (1990), 9377.
46. H. Frisk, Nucl. Phys. A511 (1990), 309.
47. V. M. Strutinsky, Nucl. Phys. A122 (1968), 1; and earlier references quoted therein.
48. S. Reimann, M. Brack, A. G. Magner, J. Blaschke and M. V. N. Murthy, Phys. Rev. A53 (1996), 39.
49. M. Abramowitz and I. A. Stegun, Handbook of mathematical functions (Dover, New York, 1964).
50. W. E. Frahn, Heavy-ion, high-spin states and nuclear structure, v. I, p. 192 (IAEA, Vienna, 1975).
51. P. F. Byrd and M. D. Friedman: Handbook of Elliptic Integrals for Engineers and Scientists (Springer-Verlag, New York, 1971).
52. L. D. Landau and E. M. Lifshits, Theoretical Physics, Vol. 1: Classical mechanics, in Russian (Nauka, Moscow 1973).
53. M. Brack, S. M. Reimann and M. Sieber, Phys. Rev. Lett. 79 (1997), 1817.
54. P. H. Morse and H. Feshbach, Methods of theoretical physics (McGraw-Hill, New York, 1953).
55. T. Misu, W. Nazarewicz and S. Åberg, Nucl. Phys. A614 (1997), 44.
56. A. C. Merchant and W. D. M. Rae, Nucl. Phys. A571 (1994), 43.
57. S. A. Moszkowski, Phys. Rev. 99 (1955), 803.
58. G. S. Ezra, J. Chem. Phys. 104 (1996), 1.
59. V. M. Strutinsky and F. A. Ivanyuk, Nucl. Phys. A255 (1975), 405.