메뉴 건너뛰기




Volumn 13, Issue 6, 2000, Pages 1987-2003

Quantum ergodicity for Pauli Hamiltonians with spin 1/2

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034310990     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/13/6/306     Document Type: Article
Times cited : (9)

References (22)
  • 1
    • 0002706543 scopus 로고
    • Semiclassical mechanics of regular and irregular motion
    • ed G Iooss, R H G Helleman and R Stora (Amsterdam: North-Holland)
    • Berry M V 1983 Semiclassical mechanics of regular and irregular motion Chaotic Behaviour of Deterministic Systems (Les Houches 1981, Session XXXVI) ed G Iooss, R H G Helleman and R Stora (Amsterdam: North-Holland) pp 169-271
    • (1983) Chaotic Behaviour of Deterministic Systems (Les Houches 1981, Session XXXVI) , pp. 169-271
    • Berry, M.V.1
  • 2
    • 0000980347 scopus 로고    scopus 로고
    • Long time semiclassical approximation of quantum flows: A proof of the Ehrenfest time
    • Bambusi D, Graffi S and Paul T 1999 Long time semiclassical approximation of quantum flows: a proof of the Ehrenfest time Asymptotic Anal. 21 149-60
    • (1999) Asymptotic Anal. , vol.21 , pp. 149-160
    • Bambusi, D.1    Graffi, S.2    Paul, T.3
  • 3
    • 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
  • 4
    • 0348098932 scopus 로고    scopus 로고
    • Semiclassical approach to the Dirac equation
    • Bolte J and Keppeler S A 1999 Semiclassical approach to the Dirac equation Ann. Phys., NY 274 125-62
    • (1999) Ann. Phys., NY , vol.274 , pp. 125-162
    • Bolte, J.1    Keppeler, S.A.2
  • 5
    • 0033579255 scopus 로고    scopus 로고
    • Semiclassical form factor for chaotic systems with spin 1/2
    • Bolte J and Keppeler S 1999 Semiclassical form factor for chaotic systems with spin 1/2 J. Phys. A: Math. Gen. 32 8863-80
    • (1999) J. Phys. A: Math. Gen. , vol.32 , pp. 8863-8880
    • Bolte, J.1    Keppeler, S.2
  • 7
    • 84974005442 scopus 로고
    • Spectral estimates around a critical level
    • Brummelhuis R, Paul T and Uribe A 1995 Spectral estimates around a critical level Duke Math. J. 78 477-530
    • (1995) Duke Math. J. , vol.78 , pp. 477-530
    • Brummelhuis, R.1    Paul, T.2    Uribe, A.3
  • 9
    • 14944371344 scopus 로고
    • Ergodicité et fonctions propres du laplacien
    • Colin de Verdière Y 1985 Ergodicité et fonctions propres du Laplacien Commun. Math. Phys. 102 497-502
    • (1985) Commun. Math. Phys. , vol.102 , pp. 497-502
    • Colin De Verdière, Y.1
  • 11
    • 84972507638 scopus 로고
    • On the boundedness of pseudo-differential operators
    • Calderón P and Vaillancourt R 1971 On the boundedness of pseudo-differential operators J. Math. Soc. Japan 23 374-8
    • (1971) J. Math. Soc. Japan , vol.23 , pp. 374-378
    • Calderón, P.1    Vaillancourt, R.2
  • 13
    • 0001163216 scopus 로고
    • The canonical transformations of pseudodifferential operators
    • Egorov Y V 1969 The canonical transformations of pseudodifferential operators Usp. Mat. Nauk 25 235-6
    • (1969) Usp. Mat. Nauk , vol.25 , pp. 235-236
    • Egorov, Y.V.1
  • 14
    • 0003252205 scopus 로고
    • Some classical theorems in spectral theory revisited
    • Seminar on Singularities of Solutions of Linear Partial Differential Equations ed L Hörmander (Princeton, NJ: Princeton University Press)
    • Guillemin V 1979 Some classical theorems in spectral theory revisited Seminar on Singularities of Solutions of Linear Partial Differential Equations (Ann. Math. Stud. vol 91) ed L Hörmander (Princeton, NJ: Princeton University Press) pp 219-59
    • (1979) Ann. Math. Stud. Vol 91 , vol.91 , pp. 219-259
    • Guillemin, V.1
  • 19
    • 0001022947 scopus 로고
    • Ergodic properties of eigenfunctions
    • in Russian
    • Shnirelman A I 1974 Ergodic properties of eigenfunctions Usp. Math. Nauk 29 181-2 (in Russian)
    • (1974) Usp. Math. Nauk , vol.29 , pp. 181-182
    • Shnirelman, A.I.1
  • 20
    • 84972564374 scopus 로고
    • Uniform distribution of eigenfunctions on compact hyperbolic surfaces
    • Zelditch S 1987 Uniform distribution of eigenfunctions on compact hyperbolic surfaces Duke Math. J. 55 919-41
    • (1987) Duke Math. J. , vol.55 , pp. 919-941
    • Zelditch, S.1
  • 21
    • 0030550843 scopus 로고    scopus 로고
    • Quantum ergodicity of C* dynamical systems
    • Zelditch S 1996 Quantum ergodicity of C* dynamical systems Commun. Math. Phys. 177 502-28
    • (1996) Commun. Math. Phys. , vol.177 , pp. 502-528
    • Zelditch, S.1
  • 22
    • 0030530411 scopus 로고    scopus 로고
    • Ergodicity of eigenfunctions for ergodic billiards
    • Zelditch S and Zworski M 1996 Ergodicity of eigenfunctions for ergodic billiards Commun. Math. Phys. 175 673-82
    • (1996) Commun. Math. Phys. , vol.175 , pp. 673-682
    • Zelditch, S.1    Zworski, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.