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Volumn 38, Issue 1, 1997, Pages 67-83

Ergodic properties of quantized toral automorphisms

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EID: 0040564874     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531835     Document Type: Article
Times cited : (13)

References (17)
  • 1
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    • Quantum ergodicity of C* dynamical systems
    • S. Zeldich, "Quantum ergodicity of C* dynamical systems," Commun. Math. Phys. 177, 507-528 (1996).
    • (1996) Commun. Math. Phys. , vol.177 , pp. 507-528
    • Zeldich, S.1
  • 3
    • 0001022947 scopus 로고
    • Ergodic properties of the eigenfunctions
    • A. Schnirelman, "Ergodic properties of the eigenfunctions," Usp. Math. Nauk. 29, 181-182 (1974).
    • (1974) Usp. Math. Nauk. , vol.29 , pp. 181-182
    • Schnirelman, A.1
  • 4
    • 14944371344 scopus 로고
    • Ergodicité et functions propres du laplacien
    • Y. Colin de Verdiere, "Ergodicité et functions propres du Laplacien," Commun. Math. Phys. 102, 497-502 (1985).
    • (1985) Commun. Math. Phys. , vol.102 , pp. 497-502
    • Colin De Verdiere, Y.1
  • 5
    • 34249758844 scopus 로고
    • Classical limit of the quantized hyperbolic toral automorphisms
    • M. Degli Esposti, S. Graffi, and S. Isofa, "Classical limit of the quantized hyperbolic toral automorphisms," Commun. Math. Phys. 167, 471-507 (1995).
    • (1995) Commun. Math. Phys. , vol.167 , pp. 471-507
    • Degli Esposti, M.1    Graffi, S.2    Isofa, S.3
  • 7
    • 0030585610 scopus 로고    scopus 로고
    • Quantized chaotic dynamics and non-commutative KS entropy
    • S. Klimek and A. Leśniewski, "Quantized chaotic dynamics and non-commutative KS entropy," Ann. Phys. 244, 173-198 (1996).
    • (1996) Ann. Phys. , vol.244 , pp. 173-198
    • Klimek, S.1    Leśniewski, A.2
  • 10
    • 0001384639 scopus 로고
    • A non-commutative version of the Arnold cat map
    • F. Benatti, H. Narnhofer, and G. L. Sewell, "A non-commutative version of the Arnold cat map," Lett. Math. Phys. 21, 157-172 (1991).
    • (1991) Lett. Math. Phys. , vol.21 , pp. 157-172
    • Benatti, F.1    Narnhofer, H.2    Sewell, G.L.3
  • 11
    • 84956071876 scopus 로고
    • Quantization of linear maps on a torus - Fresnel diffraction by periodic grating
    • J. H. Hannay and M. Berry, "Quantization of linear maps on a torus - Fresnel diffraction by periodic grating," Physica D 1, 267-290 (1980).
    • (1980) Physica D , vol.1 , pp. 267-290
    • Hannay, J.H.1    Berry, M.2
  • 14
    • 0000089317 scopus 로고
    • Quantization of the orientation preserving automorphisms of the torus
    • M. Degli Esposti, "Quantization of the orientation preserving automorphisms of the torus," Ann. Inst. Poincaré 58, 323-341 (1993).
    • (1993) Ann. Inst. Poincaré , vol.58 , pp. 323-341
    • Esposti, M.D.1
  • 16
    • 0039623966 scopus 로고
    • Quantum nodal points as fingerprints of classical chaos
    • edited by B. V. Chirikov and O. Casati Cambridge U.P., Cambridge
    • P. Leboeuf and A. Voros, "Quantum nodal points as fingerprints of classical chaos," in Quantum Chaos, edited by B. V. Chirikov and O. Casati (Cambridge U.P., Cambridge, 1994).
    • (1994) Quantum Chaos
    • Leboeuf, P.1    Voros, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.