메뉴 건너뛰기




Volumn 10, Issue 6, 2000, Pages 1554-1578

Quantum unique ergodicity for parabolic maps

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034554538     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00001661     Document Type: Article
Times cited : (37)

References (20)
  • 1
    • 14944371344 scopus 로고
    • Ergodicité et fonctions propres du laplacien
    • Y. COLIN DE VERDIÈRE, Ergodicité et fonctions propres du laplacien, Comm. Math. Phys. 102 (1985), 497-502.
    • (1985) Comm. Math. Phys. , vol.102 , pp. 497-502
    • Colin De Verdière, Y.1
  • 2
    • 0001920949 scopus 로고    scopus 로고
    • Equipartition of the eigenfunctions of quantized ergodic maps on the torus
    • A. BOUZOUINA, S. DE BIÈVRE, Equipartition of the eigenfunctions of quantized ergodic maps on the torus, Comm. Math. Phys. 178 (1996), 83-105.
    • (1996) Comm. Math. Phys. , vol.178 , pp. 83-105
    • Bouzouina, A.1    De Bièvre, S.2
  • 3
    • 0001998326 scopus 로고    scopus 로고
    • Quantization of a class of piecewise affine transformations on the torus
    • S. DE BIÈVRE, M. DEGLI ESPOSTI, R. GIACHETTI, Quantization of a class of piecewise affine transformations on the torus, Comm. Math. Phys. 176 (1996), 73-94.
    • (1996) Comm. Math. Phys. , vol.176 , pp. 73-94
    • De Bièvre, S.1    Degli Esposti, M.2    Giachetti, R.3
  • 4
    • 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 (1993), 323-341.
    • (1993) Ann. Inst. Poincaré , vol.58 , pp. 323-341
    • Degli Esposti, M.1
  • 5
    • 34249758844 scopus 로고
    • Classical limit of the quantized hyperbolic toral automorphisms
    • M. DEGLI ESPOSTI, S. GRAFFI, S. ISOLA, Classical limit of the quantized hyperbolic toral automorphisms, Comm. Math. Phys. 167 (1995), 471-507.
    • (1995) Comm. Math. Phys. , vol.167 , pp. 471-507
    • Degli Esposti, M.1    Graffi, S.2    Isola, S.3
  • 6
    • 0000059296 scopus 로고
    • Strict ergodicity and transformation of the torus
    • H. FURSTENBERG, Strict ergodicity and transformation of the torus, Amer. J. Math. 83 (1961), 573-601.
    • (1961) Amer. J. Math. , vol.83 , pp. 573-601
    • Furstenberg, H.1
  • 7
    • 84956071876 scopus 로고
    • Quantization of linear maps on a torus - Fresnel diffraction by a periodic grating
    • J.H. HANNAY, M.V. BERRY, Quantization of linear maps on a torus - Fresnel diffraction by a periodic grating, Physica D 1 (1980), 267-290.
    • (1980) Physica D , vol.1 , pp. 267-290
    • Hannay, J.H.1    Berry, M.V.2
  • 11
    • 0002352435 scopus 로고
    • The cat maps: Quantum mechanics and classical motion
    • J.P. KEATING, The cat maps: quantum mechanics and classical motion, Nonlinearity 4 (1991), 309-341.
    • (1991) Nonlinearity , vol.4 , pp. 309-341
    • Keating, J.P.1
  • 14
    • 0003095621 scopus 로고
    • Beweis des ergodensatzes und des h-theorems in der neuen mechanik
    • J. VON NEUMANN, Beweis des Ergodensatzes und des H-Theorems in der neuen Mechanik, Zeitschr. f. Physik 57 (1929), 30-70, Collected Works, Vol. 1, Pergamon Press, Oxford, 1961.
    • (1929) Zeitschr. F. Physik , vol.57 , pp. 30-70
    • Von Neumann, J.1
  • 15
    • 0003095621 scopus 로고
    • Pergamon Press, Oxford
    • J. VON NEUMANN, Beweis des Ergodensatzes und des H-Theorems in der neuen Mechanik, Zeitschr. f. Physik 57 (1929), 30-70, Collected Works, Vol. 1, Pergamon Press, Oxford, 1961.
    • (1961) Collected Works , vol.1
  • 16
    • 21344499327 scopus 로고
    • The behaviour of eigenstates of arithmetic hyperbolic manifolds
    • Z. RUDNICK, P. SARNAK, The behaviour of eigenstates of arithmetic hyperbolic manifolds, Comm. Math. Phys. 161 (1994), 195-213.
    • (1994) Comm. Math. Phys. , vol.161 , pp. 195-213
    • Rudnick, Z.1    Sarnak, P.2
  • 17
    • 0001022947 scopus 로고
    • Ergodic properties of eigenfunctions
    • A.I. SCHNIRELMAN, Ergodic properties of eigenfunctions, Uspekhi Mat. Nauk 29 (1974), 181-182.
    • (1974) Uspekhi Mat. Nauk , vol.29 , pp. 181-182
    • Schnirelman, A.I.1
  • 18
    • 84972564374 scopus 로고
    • Uniform distribution of eigenfunctions on compact hyperbolic surfaces
    • S. ZELDITCH, Uniform distribution of eigenfunctions on compact hyperbolic surfaces, Duke Math. J. 55 (1987), 919-941.
    • (1987) Duke Math. J. , vol.55 , pp. 919-941
    • Zelditch, S.1
  • 19
    • 0009184046 scopus 로고
    • On a "quantum chaos" theorem of R. Schrader and M. Taylor
    • S. ZELDITCH, On a "Quantum Chaos" Theorem of R. Schrader and M. Taylor, J. Funct. Anal. 109 (1992), 1-21.
    • (1992) J. Funct. Anal. , vol.109 , pp. 1-21
    • Zelditch, S.1
  • 20
    • 0031513741 scopus 로고    scopus 로고
    • Index and dynamics of quantized contact transformations
    • S. ZELDITCH, Index and dynamics of quantized contact transformations, Ann. Inst. Fourier (Grenoble) 47 (1997), 305-363.
    • (1997) Ann. Inst. Fourier (Grenoble) , vol.47 , pp. 305-363
    • Zelditch, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.