SCOPUS 정보 검색 플랫폼

Journal of Chemical Physics

Volumn 127, Issue 8, 2007, Pages

Phase quantization of chaos in the semiclassical regime

(2) Takahashi, Satoshi a Takatsuka, Kazuo a

a UNIVERSITY OF TOKYO (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BRILLOUIN SCATTERING; CONVERGENCE OF NUMERICAL METHODS; FOURIER ANALYSIS; HAMILTONIANS;

PHASE QUANTIZATION; SEMICLASSICAL QUANTIZATION; SEMICLASSICAL REGIME;

CHAOS THEORY;

EID: 34548439496 PISSN: 00219606 EISSN: None Source Type: Journal
DOI: 10.1063/1.2772274 Document Type: Article

Times cited : (18)

References (62)

1
- 0004254722
- Springer, New York
- L. E. Reichl, The Transition to Chaos (Springer, New York, 1992); ibid. (University Press, Cambridge, 1993).
- (1992) The Transition to Chaos
- Reichl, L.E.¹

2
- 0004254722
- University Press, Cambridge
- L. E. Reichl, The Transition to Chaos (Springer, New York, 1992); ibid. (University Press, Cambridge, 1993).
- (1993) The Transition to Chaos
- Reichl, L.E.¹

3
- 34548425008
- edited by K.-F.Berggren and S.Aberg, Physica Scripta Vol. The Royal Swedish Academy of Sciences, Stockholm, Sweden
- Quantum Chaos Y2K Proceedings of the Nobel Symposium 116, edited by, K.-F. Berggren, and, S. Aberg, Physica Scripta Vol. T90 (The Royal Swedish Academy of Sciences, Stockholm, Sweden, 2001).
- (2001) Quantum Chaos Y2K Proceedings of the Nobel Symposium 116 , vol.90

4
- 0000463214
- K. G. Kay, J. Chem. Phys. 101, 2250 (1994).
- (1994) J. Chem. Phys. , vol.101 , pp. 2250
- Kay, K.G.¹

5
- 0035509930
- A. Inoue-Ushiyama and K. Takatsuka, Phys. Rev. E 64, 056223 (2001).
- (2001) Phys. Rev. e , vol.64 , pp. 056223
- Inoue-Ushiyama, A.¹ Takatsuka, K.²

6
- 36849114078
- 0021-9606 10.1063/1.1674535
- W. H. Miller, J. Chem. Phys. 0021-9606 10.1063/1.1674535 53, 3578 (1970); E. J. Heller, J. Chem. Phys. 0021-9606 10.1063/1.459848 94, 2723 (1991); M. A. Sepúlveda and E. J. Heller, J. Chem. Phys. 0021-9606 10.1063/1.468227 101, 8004 (1994); G. Campolieti and P. Brumer, Phys. Rev. A 1050-2947 10.1103/PhysRevA.50.997 50, 997 (1994); K. G. Kay, J. Chem. Phys. 0021-9606 10.1063/1.466320 100, 4377 (1994); W. H. Miller, J. Phys. Chem. A 105, 2942 (2001).
- (1970) J. Chem. Phys. , vol.53 , pp. 3578
- Miller, W.H.¹

7
- 36449008373
- 0021-9606 10.1063/1.459848
- W. H. Miller, J. Chem. Phys. 0021-9606 10.1063/1.1674535 53, 3578 (1970); E. J. Heller, J. Chem. Phys. 0021-9606 10.1063/1.459848 94, 2723 (1991); M. A. Sepúlveda and E. J. Heller, J. Chem. Phys. 0021-9606 10.1063/1.468227 101, 8004 (1994); G. Campolieti and P. Brumer, Phys. Rev. A 1050-2947 10.1103/PhysRevA.50.997 50, 997 (1994); K. G. Kay, J. Chem. Phys. 0021-9606 10.1063/1.466320 100, 4377 (1994); W. H. Miller, J. Phys. Chem. A 105, 2942 (2001).
- (1991) J. Chem. Phys. , vol.94 , pp. 2723
- Heller, E.J.¹

8
- 0011665267
- 0021-9606 10.1063/1.468227
- W. H. Miller, J. Chem. Phys. 0021-9606 10.1063/1.1674535 53, 3578 (1970); E. J. Heller, J. Chem. Phys. 0021-9606 10.1063/1.459848 94, 2723 (1991); M. A. Sepúlveda and E. J. Heller, J. Chem. Phys. 0021-9606 10.1063/1.468227 101, 8004 (1994); G. Campolieti and P. Brumer, Phys. Rev. A 1050-2947 10.1103/PhysRevA.50.997 50, 997 (1994); K. G. Kay, J. Chem. Phys. 0021-9606 10.1063/1.466320 100, 4377 (1994); W. H. Miller, J. Phys. Chem. A 105, 2942 (2001).
- (1994) J. Chem. Phys. , vol.101 , pp. 8004
- Sepúlveda, M.A.¹ Heller, E.J.²

9
- 0000099321
- 1050-2947 10.1103/PhysRevA.50.997
- W. H. Miller, J. Chem. Phys. 0021-9606 10.1063/1.1674535 53, 3578 (1970); E. J. Heller, J. Chem. Phys. 0021-9606 10.1063/1.459848 94, 2723 (1991); M. A. Sepúlveda and E. J. Heller, J. Chem. Phys. 0021-9606 10.1063/1.468227 101, 8004 (1994); G. Campolieti and P. Brumer, Phys. Rev. A 1050-2947 10.1103/PhysRevA.50.997 50, 997 (1994); K. G. Kay, J. Chem. Phys. 0021-9606 10.1063/1.466320 100, 4377 (1994); W. H. Miller, J. Phys. Chem. A 105, 2942 (2001).
- (1994) Phys. Rev. A , vol.50 , pp. 997
- Campolieti, G.¹ Brumer, P.²

10
- 36449004965
- 0021-9606 10.1063/1.466320
- W. H. Miller, J. Chem. Phys. 0021-9606 10.1063/1.1674535 53, 3578 (1970); E. J. Heller, J. Chem. Phys. 0021-9606 10.1063/1.459848 94, 2723 (1991); M. A. Sepúlveda and E. J. Heller, J. Chem. Phys. 0021-9606 10.1063/1.468227 101, 8004 (1994); G. Campolieti and P. Brumer, Phys. Rev. A 1050-2947 10.1103/PhysRevA.50.997 50, 997 (1994); K. G. Kay, J. Chem. Phys. 0021-9606 10.1063/1.466320 100, 4377 (1994); W. H. Miller, J. Phys. Chem. A 105, 2942 (2001).
- (1994) J. Chem. Phys. , vol.100 , pp. 4377
- Kay, K.G.¹

11
- 0035810449
- W. H. Miller, J. Chem. Phys. 0021-9606 10.1063/1.1674535 53, 3578 (1970); E. J. Heller, J. Chem. Phys. 0021-9606 10.1063/1.459848 94, 2723 (1991); M. A. Sepúlveda and E. J. Heller, J. Chem. Phys. 0021-9606 10.1063/1.468227 101, 8004 (1994); G. Campolieti and P. Brumer, Phys. Rev. A 1050-2947 10.1103/PhysRevA.50.997 50, 997 (1994); K. G. Kay, J. Chem. Phys. 0021-9606 10.1063/1.466320 100, 4377 (1994); W. H. Miller, J. Phys. Chem. A 105, 2942 (2001).
- (2001) J. Phys. Chem. A , vol.105 , pp. 2942
- Miller, W.H.¹

12
- 0002911251
- W. H. Miller, Adv. Chem. Phys. 25, 69 (1974).
- (1974) Adv. Chem. Phys. , vol.25 , pp. 69
- Miller, W.H.¹

13
- 0003644102
- Wiley, New York
- L. S. Schulman, Techniques and Applications of Path Integration (Wiley, New York, 1981); P. Gaspard, D. Alonso, and I. Burghhardt, Adv. Chem. Phys. 90, 105 (1995).
- (1981) Techniques and Applications of Path Integration
- Schulman, L.S.¹

14
- 0001084844
- L. S. Schulman, Techniques and Applications of Path Integration (Wiley, New York, 1981); P. Gaspard, D. Alonso, and I. Burghhardt, Adv. Chem. Phys. 90, 105 (1995).
- (1995) Adv. Chem. Phys. , vol.90 , pp. 105
- Gaspard, P.¹ Alonso, D.² Burghhardt, I.³

15
- 0001459024
- M. V. Berry and N. L. Balazs, J. Phys. A 12, 625 (1979).
- (1979) J. Phys. A , vol.12 , pp. 625
- Berry, M.V.¹ Balazs, N.L.²

16
- 6244265526
- 0031-9007 10.1103/PhysRevLett.67.664
- S. Tomsovic and E. J. Heller, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.67.664 67, 664 (1991); S. Tomsovic and E. J. Heller, Phys. Rev. E 47, 282 (1993).
- (1991) Phys. Rev. Lett. , vol.67 , pp. 664
- Tomsovic, S.¹ Heller, E.J.²

17
- 33645090515
- S. Tomsovic and E. J. Heller, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.67.664 67, 664 (1991); S. Tomsovic and E. J. Heller, Phys. Rev. E 47, 282 (1993).
- (1993) Phys. Rev. e , vol.47 , pp. 282
- Tomsovic, S.¹ Heller, E.J.²

18
- 0000702703
- 0021-9606 10.1063/1.462173
- R. J. Hinde, R. S. Berry, and D. J. Wales, J. Chem. Phys. 0021-9606 10.1063/1.462173 96, 1376 (1992); R. J. Hinde and R. S. Berry, J. Chem. Phys. 99, 2942 (1993).
- (1992) J. Chem. Phys. , vol.96 , pp. 1376
- Hinde, R.J.¹ Berry, R.S.² Wales, D.J.³

19
- 36448999446
- R. J. Hinde, R. S. Berry, and D. J. Wales, J. Chem. Phys. 0021-9606 10.1063/1.462173 96, 1376 (1992); R. J. Hinde and R. S. Berry, J. Chem. Phys. 99, 2942 (1993).
- (1993) J. Chem. Phys. , vol.99 , pp. 2942
- Hinde, R.J.¹ Berry, R.S.²

20
- 0038061658
- K. Hotta and K. Takatsuka, J. Phys. A 36, 4785 (2003).
- (2003) J. Phys. A , vol.36 , pp. 4785
- Hotta, K.¹ Takatsuka, K.²

21
- 5344241014
- 0022-2488 10.1063/1.1665328
- M. C. Gutzwiller, J. Math. Phys. 0022-2488 10.1063/1.1665328 11, 1791 (1970); M. C. Gutzwiller, J. Math. Phys. 12, 343 (1971); M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer, Berlin, 1990).
- (1970) J. Math. Phys. , vol.11 , pp. 1791
- Gutzwiller, M.C.¹

22
- 0001397592
- M. C. Gutzwiller, J. Math. Phys. 0022-2488 10.1063/1.1665328 11, 1791 (1970); M. C. Gutzwiller, J. Math. Phys. 12, 343 (1971); M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer, Berlin, 1990).
- (1971) J. Math. Phys. , vol.12 , pp. 343
- Gutzwiller, M.C.¹

23
- 0003558185
- Springer, Berlin
- M. C. Gutzwiller, J. Math. Phys. 0022-2488 10.1063/1.1665328 11, 1791 (1970); M. C. Gutzwiller, J. Math. Phys. 12, 343 (1971); M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer, Berlin, 1990).
- (1990) Chaos in Classical and Quantum Mechanics
- Gutzwiller, M.C.¹

24
- 0001503320
- A. Voros, J. Phys. A 21, 685 (1988).
- (1988) J. Phys. A , vol.21 , pp. 685
- Voros, A.¹

25
- 0009129211
- 0305-4470 10.1088/0305-4470/23/21/024
- M. V. Berry and J. P. Keating, J. Phys. A 0305-4470 10.1088/0305-4470/23/ 21/024 23, 4839 (1990); M. V. Berry and J. P. Keating, Proc. R. Soc. London, Ser. A 437, 151 (1992).
- (1990) J. Phys. A , vol.23 , pp. 4839
- Berry, M.V.¹ Keating, J.P.²

26
- 0000139548
- M. V. Berry and J. P. Keating, J. Phys. A 0305-4470 10.1088/0305-4470/23/ 21/024 23, 4839 (1990); M. V. Berry and J. P. Keating, Proc. R. Soc. London, Ser. A 437, 151 (1992).
- (1992) Proc. R. Soc. London, Ser. A , vol.437 , pp. 151
- Berry, M.V.¹ Keating, J.P.²

27
- 0000902360
- P. Cvitanović and B. Eckhardt, Phys. Rev. Lett. 63, 823 (1989).
- (1989) Phys. Rev. Lett. , vol.63 , pp. 823
- Cvitanović, P.¹ Eckhardt, B.²

28
- 0002934254
- F. Christiansen and P. Cvitanović, Chaos 2, 61 (1992).
- (1992) Chaos , vol.2 , pp. 61
- Christiansen, F.¹ Cvitanović, P.²

29
- 4243705307
- M. Sieber and F. Steiner, Phys. Rev. Lett. 67, 1941 (1991).
- (1991) Phys. Rev. Lett. , vol.67 , pp. 1941
- Sieber, M.¹ Steiner, F.²

30
- 0004057103
- R. Aurich and F. Steiner, Phys. Rev. A 45, 583 (1992).
- (1992) Phys. Rev. A , vol.45 , pp. 583
- Aurich, R.¹ Steiner, F.²

31
- 0004544351
- T. Szeredi and D. A. Goodings, Phys. Rev. E 48, 3529 (1993).
- (1993) Phys. Rev. e , vol.48 , pp. 3529
- Szeredi, T.¹ Goodings, D.A.²

32
- 0001608032
- G. Vattay and P. E. Rosenqvist, Phys. Rev. Lett. 76, 335 (1996).
- (1996) Phys. Rev. Lett. , vol.76 , pp. 335
- Vattay, G.¹ Rosenqvist, P.E.²

33
- 42749098427
- S. Takahashi and K. Takatsuka, Phys. Rev. A 70, 052103 (2004).
- (2004) Phys. Rev. A , vol.70 , pp. 052103
- Takahashi, S.¹ Takatsuka, K.²

34
- 34547926518
- S. Takahashi and K. Takatsuka, J. Chem. Phys. 124, 144101 (2006).
- (2006) J. Chem. Phys. , vol.124 , pp. 144101
- Takahashi, S.¹ Takatsuka, K.²

35
- 33845340820
- H. Teramoto and K. Takatsuka, J. Chem. Phys. 125, 194301 (2006).
- (2006) J. Chem. Phys. , vol.125 , pp. 194301
- Teramoto, H.¹ Takatsuka, K.²

36
- 18744364479
- K. Hotta and K. Takatsuka, J. Chem. Phys. 122, 174108 (2005).
- (2005) J. Chem. Phys. , vol.122 , pp. 174108
- Hotta, K.¹ Takatsuka, K.²

37
- 34547964866
- T. Yamashita and K. Takatsuka, Prog. Theor. Phys. Suppl. 161, 56 (2007).
- (2007) Prog. Theor. Phys. Suppl. , vol.161 , pp. 56
- Yamashita, T.¹ Takatsuka, K.²

38
- 33846205546
- K. Takatsuka, S. Takahashi, K. Y. W. Patrick, and T. Yamashita, J. Chem. Phys. 126, 021104 (2007).
- (2007) J. Chem. Phys. , vol.126 , pp. 021104
- Takatsuka, K.¹ Takahashi, S.² Patrick, K.Y.W.³ Yamashita, T.⁴

39
- 36749113388
- E. J. Heller, J. Chem. Phys. 75, 2923 (1981).
- (1981) J. Chem. Phys. , vol.75 , pp. 2923
- Heller, E.J.¹

40
- 0042974379
- C. Jaff́ and W. P. Reinhardt, J. Chem. Phys. 77, 5191 (1982).
- (1982) J. Chem. Phys. , vol.77 , pp. 5191
- Jaff́, C.¹ Reinhardt, W.P.²

41
- 36749115486
- R. B. Shirts and W. P. Reinhardt, J. Chem. Phys. 77, 5204 (1982).
- (1982) J. Chem. Phys. , vol.77 , pp. 5204
- Shirts, R.B.¹ Reinhardt, W.P.²

42
- 0039262074
- 0009-2614 10.1016/0009-2614(77)85310-4
- J. B. Delos and R. T. Swimm, Chem. Phys. Lett. 0009-2614 10.1016/0009-2614(77)85310-4 47, 76 (1977); R. T. Swimm and J. B. Delos, J. Chem. Phys. 71, 1706 (1979).
- (1977) Chem. Phys. Lett. , vol.47 , pp. 76
- Delos, J.B.¹ Swimm, R.T.²

43
- 0000587999
- J. B. Delos and R. T. Swimm, Chem. Phys. Lett. 0009-2614 10.1016/0009-2614(77)85310-4 47, 76 (1977); R. T. Swimm and J. B. Delos, J. Chem. Phys. 71, 1706 (1979).
- (1979) J. Chem. Phys. , vol.71 , pp. 1706
- Swimm, R.T.¹ Delos, J.B.²

44
- 0000376907
- J. Main and G. Wunner, Phys. Rev. Lett. 82, 3038 (1999).
- (1999) Phys. Rev. Lett. , vol.82 , pp. 3038
- Main, J.¹ Wunner, G.²

45
- 0001291754
- 1364-5021
- M. V. Berry and M. Tabor, Proc. R. Soc. London, Ser. A 1364-5021 349, 101 (1976); M. V. Berry and M. Tabor, J. Phys. A 10, 371 (1977).
- (1976) Proc. R. Soc. London, Ser. A , vol.349 , pp. 101
- Berry, M.V.¹ Tabor, M.²

46
- 0001127412
- M. V. Berry and M. Tabor, Proc. R. Soc. London, Ser. A 1364-5021 349, 101 (1976); M. V. Berry and M. Tabor, J. Phys. A 10, 371 (1977).
- (1977) J. Phys. A , vol.10 , pp. 371
- Berry, M.V.¹ Tabor, M.²

47
- 20544435185
- H. Ushiyama and K. Takatsuka, J. Chem. Phys. 122, 224112 (2005).
- (2005) J. Chem. Phys. , vol.122 , pp. 224112
- Ushiyama, H.¹ Takatsuka, K.²

48
- 4244122100
- 0031-9007 10.1103/PhysRevLett.78.1404
- A. Inoue-Ushiyama and K. Takatsuka, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.78.1404 78, 1404 (1997); A. Inoue-Ushiyama and K. Takatsuka, Phys. Rev. A 59, 3256 (1999).
- (1997) Phys. Rev. Lett. , vol.78 , pp. 1404
- Inoue-Ushiyama, A.¹ Takatsuka, K.²

49
- 0001337135
- A. Inoue-Ushiyama and K. Takatsuka, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.78.1404 78, 1404 (1997); A. Inoue-Ushiyama and K. Takatsuka, Phys. Rev. A 59, 3256 (1999).
- (1999) Phys. Rev. A , vol.59 , pp. 3256
- Inoue-Ushiyama, A.¹ Takatsuka, K.²

50
- 0003437218
- Addison-Wesley, New York
- H. Goldstein, Classical Mechanics (Addison-Wesley, New York, 1980).
- (1980) Classical Mechanics
- Goldstein, H.¹

51
- 0035395933
- K. Takatsuka, Phys. Rev. E 64, 016224 (2001).
- (2001) Phys. Rev. e , vol.64 , pp. 016224
- Takatsuka, K.¹

52
- 0001394688
- 1089-5639 10.1021/jp991433v
- J. Shao and N. Makri, J. Phys. Chem. A 1089-5639 10.1021/jp991433v 103, 7753 (1999); J. Shao and N. Makri, J. Phys. Chem. A 103, 9479 (1999).
- (1999) J. Phys. Chem. A , vol.103 , pp. 7753
- Shao, J.¹ Makri, N.²

53
- 0001048060
- J. Shao and N. Makri, J. Phys. Chem. A 1089-5639 10.1021/jp991433v 103, 7753 (1999); J. Shao and N. Makri, J. Phys. Chem. A 103, 9479 (1999).
- (1999) J. Phys. Chem. A , vol.103 , pp. 9479
- Shao, J.¹ Makri, N.²

54
- 4444314431
- S. Zhang and E. Pollak, J. Chem. Phys. 121, 3384 (2004).
- (2004) J. Chem. Phys. , vol.121 , pp. 3384
- Zhang, S.¹ Pollak, E.²

55
- 4243938937
- M. F. Herman and E. Kluk, Chem. Phys. 91, 27 (1984).
- (1984) Chem. Phys. , vol.91 , pp. 27
- Herman, M.F.¹ Kluk, E.²

56
- 1942443949
- S. Takahashi and K. Takatsuka, Phys. Rev. A 69, 022110 (2004).
- (2004) Phys. Rev. A , vol.69 , pp. 022110
- Takahashi, S.¹ Takatsuka, K.²

57
- 0035965171
- H. Ushiyama, Y. Arasaki, and K. Takatsuka, Chem. Phys. Lett. 346, 169 (2001).
- (2001) Chem. Phys. Lett. , vol.346 , pp. 169
- Ushiyama, H.¹ Arasaki, Y.² Takatsuka, K.³

58
- 0001151679
- K. Takahashi and K. Ikeda, J. Chem. Phys. 99, 8680 (1993).
- (1993) J. Chem. Phys. , vol.99 , pp. 8680
- Takahashi, K.¹ Ikeda, K.²

59
- 33745014742
- E. P. Wigner, Phys. Rev. 40, 749 (1932).
- (1932) Phys. Rev. , vol.40 , pp. 749
- Wigner, E.P.¹

60
- 0001695996
- B. Eckhardt, G. Hose, and E. Pollak, Phys. Rev. A 39, 3776 (1989).
- (1989) Phys. Rev. A , vol.39 , pp. 3776
- Eckhardt, B.¹ Hose, G.² Pollak, E.³

61
- 0041784922
- G. Campolieti and P. Brumer, J. Chem. Phys. 109, 2999 (1998).
- (1998) J. Chem. Phys. , vol.109 , pp. 2999
- Campolieti, G.¹ Brumer, P.²

62
- 34548458549
- Y. W. Koh and K. Takatsuka (unpublished).
- Koh, Y.W.¹ Takatsuka, K.²

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.