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Volumn 32, Issue 50, 1999, Pages 8863-8880

Semiclassical form factor for chaotic systems with spin 1/2

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EID: 0033579255     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/32/50/307     Document Type: Article
Times cited : (34)

References (29)
  • 1
    • 0346788422 scopus 로고
    • Characterization of chaotic quantum spectra and universality of level fluctuation laws
    • Bohigas O, Giannoni M J and Schmit C 1984 Characterization of chaotic quantum spectra and universality of level fluctuation laws Phys. Rev. Lett. 52 1-4
    • (1984) Phys. Rev. Lett. , vol.52 , pp. 1-4
    • Bohigas, O.1    Giannoni, M.J.2    Schmit, C.3
  • 2
    • 0000472870 scopus 로고
    • Théorie générale de la rotation paramagnétique dans les cristaux
    • Kramers H A 1930 Théorie générale de la rotation paramagnétique dans les cristaux Proc. Acad. Amst. 33 959-72
    • (1930) Proc. Acad. Amst. , vol.33 , pp. 959-972
    • Kramers, H.A.1
  • 7
    • 0000513305 scopus 로고
    • Extreme level repulsion for chaotic quantum Hamiltonians
    • Caurier E and Grammaticos B 1989 Extreme level repulsion for chaotic quantum Hamiltonians Phys. Lett. A 136 387-90
    • (1989) Phys. Lett. A , vol.136 , pp. 387-390
    • Caurier, E.1    Grammaticos, B.2
  • 8
    • 0001578550 scopus 로고
    • Level clustering in the regular spectrum
    • Berry M V and Tabor M 1977 Level clustering in the regular spectrum Proc. R. Soc. A 356 375-94
    • (1977) Proc. R. Soc. A , vol.356 , pp. 375-394
    • Berry, M.V.1    Tabor, M.2
  • 9
    • 0001397592 scopus 로고
    • Periodic orbits and classical quantization conditions
    • Gutzwiller MC 1971 Periodic orbits and classical quantization conditions J. Math. Phys. 12 343-58
    • (1971) J. Math. Phys. , vol.12 , pp. 343-358
    • Gutzwiller, M.C.1
  • 10
    • 33646611421 scopus 로고
    • The spectrum of positive elliptic operators and periodic bicharacteristics
    • Duistermaat J J and Guillemin V W 1975 The spectrum of positive elliptic operators and periodic bicharacteristics Invent. Math. 29 39-79
    • (1975) Invent. Math. , vol.29 , pp. 39-79
    • Duistermaat, J.J.1    Guillemin, V.W.2
  • 11
    • 0011511792 scopus 로고
    • Semiclassical principal symbols and Gutzwiller's trace formula
    • Meinrenken E 1992 Semiclassical principal symbols and Gutzwiller's trace formula Rep. Math. Phys. 31 279-95
    • (1992) Rep. Math. Phys. , vol.31 , pp. 279-295
    • Meinrenken, E.1
  • 12
    • 0001493580 scopus 로고
    • The semi-classical trace formula and propagation of wave packets
    • Paul T and Uribe A 1995 The semi-classical trace formula and propagation of wave packets J. Funct. Anal. 132 192-249
    • (1995) J. Funct. Anal. , vol.132 , pp. 192-249
    • Paul, T.1    Uribe, A.2
  • 13
    • 0001511611 scopus 로고
    • Semiclassical theory of spectral rigidity
    • Berry M V 1985 Semiclassical theory of spectral rigidity Proc. R. Soc. A 400 229-51
    • (1985) Proc. R. Soc. A , vol.400 , pp. 229-251
    • Berry, M.V.1
  • 14
    • 0040282654 scopus 로고
    • Periodic orbits and a correlation function for the semiclassical density of states
    • Hannay J H and Ozorio de Almeida A M 1984 Periodic orbits and a correlation function for the semiclassical density of states J. Phys. A: Math. Gen. 17 3429-40
    • (1984) J. Phys. A: Math. Gen. , vol.17 , pp. 3429-3440
    • Hannay, J.H.1    Ozorio De Almeida, A.M.2
  • 15
    • 0001070935 scopus 로고    scopus 로고
    • Semiclassical time evolution and trace formula for relativistic spin-1/2 particles
    • Bolte J and Keppeler S 1998 Semiclassical time evolution and trace formula for relativistic spin-1/2 particles Phys. Rev. Lett. 81 1987-91
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 1987-1991
    • Bolte, J.1    Keppeler, S.2
  • 16
    • 0348098932 scopus 로고    scopus 로고
    • A semiclassical approach to the Dirac equation
    • Bolte J and Keppeler S 1999 A semiclassical approach to the Dirac equation Ann. Phys., NY 274 124-62
    • (1999) Ann. Phys., NY , vol.274 , pp. 124-162
    • Bolte, J.1    Keppeler, S.2
  • 17
    • 0000580673 scopus 로고    scopus 로고
    • Zeros of principal L-functions and random matrix theory
    • Rudnick Z and Sarnak P 1996 Zeros of principal L-functions and random matrix theory Duke Math. J. 81 269-322
    • (1996) Duke Math. J. , vol.81 , pp. 269-322
    • Rudnick, Z.1    Sarnak, P.2
  • 18
    • 0032261106 scopus 로고    scopus 로고
    • Spectral form factors of rectangle billiards
    • Marklof J 1998 Spectral form factors of rectangle billiards Commun. Math. Phys. 199 169-202
    • (1998) Commun. Math. Phys. , vol.199 , pp. 169-202
    • Marklof, J.1
  • 19
    • 0001054748 scopus 로고    scopus 로고
    • The spectral form factor is not self-averaging
    • Prange R E 1997 The spectral form factor is not self-averaging Phys. Rev. Lett. 78 2280-3
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 2280-2283
    • Prange, R.E.1
  • 20
    • 0037962447 scopus 로고    scopus 로고
    • Semiclassical trace formulae and eigenvalue statistics in quantum chaos
    • Bolte J 1999 Semiclassical trace formulae and eigenvalue statistics in quantum chaos Open Syst. Inform. Dynam. 6 167-226
    • (1999) Open Syst. Inform. Dynam. , vol.6 , pp. 167-226
    • Bolte, J.1
  • 23
    • 0000851609 scopus 로고    scopus 로고
    • Gutzwiller's trace formula and spectral statistics: Beyond the diagonal approximation
    • Bogomolny E B and Keating J P 1996 Gutzwiller's trace formula and spectral statistics: beyond the diagonal approximation Phys. Rev. Lett. 77 1472-75
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 1472-1475
    • Bogomolny, E.B.1    Keating, J.P.2
  • 24
    • 0000308274 scopus 로고
    • The pair correlation of zeros of the zeta function
    • ed H G Diamond (Providence, RI: American Mathematical Society)
    • Montgomery H L 1973 The pair correlation of zeros of the zeta function Proc. Symp. Pure Math. vol XXIV, ed H G Diamond (Providence, RI: American Mathematical Society) pp 181-93
    • (1973) Proc. Symp. Pure Math. , vol.24 , pp. 181-193
    • Montgomery, H.L.1
  • 25
    • 0040858874 scopus 로고
    • Die Reflexion von Elektronen an einem Potentialsprung nach der relativistischen Dynamik von Dirac
    • Klein O 1929 Die Reflexion von Elektronen an einem Potentialsprung nach der relativistischen Dynamik von Dirac Z. Phys. 53 588-94
    • (1929) Z. Phys. , vol.53 , pp. 588-594
    • Klein, O.1
  • 26
    • 0000271607 scopus 로고
    • Zeta functions and the periodic orbit structure of hyperbolic dynamics
    • Parry W and Pollicott M 1990 Zeta functions and the periodic orbit structure of hyperbolic dynamics Astérisque 187-8 1-268
    • (1990) Astérisque , vol.187 , Issue.8 , pp. 1-268
    • Parry, W.1    Pollicott, M.2
  • 29
    • 0013501719 scopus 로고
    • The ergodic theory of axiom A flows
    • Bowen R and Ruelle D 1975 The ergodic theory of axiom A flows Invent. Math. 29 181-202
    • (1975) Invent. Math. , vol.29 , pp. 181-202
    • Bowen, R.1    Ruelle, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.