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Volumn 35, Issue 3, 2002, Pages 527-538

Amplitude distribution of eigenfunctions in mixed systems

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EID: 0037169436     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/3/306     Document Type: Article
Times cited : (41)

References (35)
  • 1
    • 0000450808 scopus 로고
    • Regular and irregular semiclassical wavefunctions
    • Berry M V 1977 Regular and irregular semiclassical wavefunctions J. Phys. A: Math Gen. 10 2083
    • (1977) J. Phys. A: Math Gen. , vol.10 , pp. 2083
    • Berry, M.V.1
  • 3
    • 0000684635 scopus 로고
    • Semi-classical mechanics in phase space: A study of Wigner's function
    • Berry M V 1977 Semi-classical mechanics in phase space: a study of Wigner's function Phil. Trans. R. Soc. A 287 237
    • (1977) Phil. Trans. R. Soc. A , vol.287 , pp. 237
    • Berry, M.V.1
  • 4
    • 0001022947 scopus 로고
    • Ergodic properties of eigenfunctions
    • in Russian
    • Shnirelman A I 1974 Ergodic properties of eigenfunctions Usp. Math. Nauk 29 181 (in Russian)
    • (1974) Usp. Math. Nauk , vol.29 , pp. 181
    • Shnirelman, A.I.1
  • 5
    • 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
    • (1987) Duke. Math. J , vol.55 , pp. 919
    • Zelditch, S.1
  • 6
    • 14944371344 scopus 로고
    • Ergodicité et fonctions propres du laplacien
    • in French
    • Colin de Verdière Y 1985 Ergodicité et fonctions propres du laplacien Commun. Math. Phys. 102 497 (in French)
    • (1985) Commun. Math. Phys. , vol.10 , pp. 497
    • Colin de Verdière, Y.1
  • 7
    • 84973997812 scopus 로고
    • Ergodic properties of eigenfunctions for the dirichlet problem
    • Gérard P and Leichtnam E 1993 Ergodic properties of eigenfunctions for the Dirichlet problem Duke Math. J. 71 559
    • (1993) Duke Math. J , vol.71 , pp. 559
    • Gérard, P.1    Leichtnam, E.2
  • 8
    • 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
    • (1996) Commun. Math. Phys. , vol.175 , pp. 673
    • Zelditch, S.1    Zworski, M.2
  • 9
    • 4243649192 scopus 로고    scopus 로고
    • Rate of quantum ergodicity in Euclidean billiards
    • Bäcker A, Schubert R and Stifter P 1998 Rate of quantum ergodicity in Euclidean billiards Phys. Rev. E 57 5425 Bäcker A, Schubert R and Stifter P 1998 Phys. Rev. E 58 5192 (erratum)
    • (1998) Phys. Rev. E , vol.57 , pp. 5425
    • Bäcker, A.1    Schubert, R.2    Stifter, P.3
  • 10
    • 84971319201 scopus 로고    scopus 로고
    • erratum
    • Bäcker A, Schubert R and Stifter P 1998 Rate of quantum ergodicity in Euclidean billiards Phys. Rev. E 57 5425 Bäcker A, Schubert R and Stifter P 1998 Phys. Rev. E 58 5192 (erratum)
    • (1998) Phys. Rev. E , vol.58 , pp. 5192
    • Bäcker, A.1    Schubert, R.2    Stifter, P.3
  • 12
    • 0007245193 scopus 로고
    • The 'coexistence problem' for conservative dynamical systems: A review
    • Strelcyn J-M 1991 The 'coexistence problem' for conservative dynamical systems: a review Coll Math. 62 331
    • (1991) Coll. Math. , vol.62 , pp. 331
    • Strelcyn, J.-M.1
  • 14
    • 0001222812 scopus 로고
    • Dynamical quasidegeneracies and separation of regular and irregular quantum levels
    • Bohigas O, Tomsovic S and Ullmo D 1990 Dynamical quasidegeneracies and separation of regular and irregular quantum levels Phys. Rev. Lett. 64 1479
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 1479
    • Bohigas, O.1    Tomsovic, S.2    Ullmo, D.3
  • 15
    • 21344479635 scopus 로고
    • Survey of the eigenfunctions of a billiard system between integrability and chaos
    • Prosen T and Robnik M 1993 Survey of the eigenfunctions of a billiard system between integrability and chaos J. Phys. A: Math. Gen. 26 5365
    • (1993) J. Phys. A: Math. Gen. , vol.26 , pp. 5365
    • Prosen, T.1    Robnik, M.2
  • 16
    • 21844481610 scopus 로고
    • Separating the regular and irregular energy levels and their statistics in a Hamiltonian system with mixed classical dynamics
    • Li B and Robnik M 1995 Separating the regular and irregular energy levels and their statistics in a Hamiltonian system with mixed classical dynamics J. Phys. A: Math. Gen. 28 4843
    • (1995) J. Phys. A: Math. Gen. , vol.28 , pp. 4843
    • Li, B.1    Robnik, M.2
  • 17
    • 0040644489 scopus 로고    scopus 로고
    • Numerical verification of Percival's conjecture in a quantum billiard
    • Carlo G, Vergini E and Fendrik A 1998 Numerical verification of Percival's conjecture in a quantum billiard Phys. Rev. E 57 5397
    • (1998) Phys. Rev. E , vol.57 , pp. 5397
    • Carlo, G.1    Vergini, E.2    Fendrik, A.3
  • 20
    • 3743125628 scopus 로고
    • Onset of chaos in an isolated energy eigenstate
    • Shapiro M and Goelman G 1984 Onset of chaos in an isolated energy eigenstate Phys. Rev. Lett. 53 1714
    • (1984) Phys. Rev. Lett. , vol.53 , pp. 1714
    • Shapiro, M.1    Goelman, G.2
  • 21
    • 26144456693 scopus 로고
    • Wave chaos in the stadium: Statistical properties of short-wave solutions of the Helmholtz equation
    • McDonald S W and Kaufmann A N 1988 Wave chaos in the stadium: statistical properties of short-wave solutions of the Helmholtz equation Phys. Rev. A 37 3067
    • (1988) Phys. Rev. A , vol.37 , pp. 3067
    • McDonald, S.W.1    Kaufmann, A.N.2
  • 22
    • 0000367599 scopus 로고
    • Exact theory for the quantum eigenstates of a strongly chaotic system
    • Aurich R and Steiner F 1991 Exact theory for the quantum eigenstates of a strongly chaotic system Physica D 48 445
    • (1991) Physica D , vol.48 , pp. 445
    • Aurich, R.1    Steiner, F.2
  • 23
    • 0001107629 scopus 로고
    • On the topography of maass waveforms for PSL(2, ℤ)
    • Hejhal D A and Rackner B N 1992 On the topography of Maass waveforms for PSL(2, ℤ) Exp. Math. 1 275
    • (1992) Exp. Math. , vol.1 , pp. 275
    • Hejhal, D.A.1    Rackner, B.N.2
  • 24
    • 0000956176 scopus 로고
    • Statistical properties of highly excited quantum eigenstates of a strongly chaotic system
    • Aurich R and Steiner F 1993 Statistical properties of highly excited quantum eigenstates of a strongly chaotic system Physica D 64 185
    • (1993) Physica D , vol.64 , pp. 185
    • Aurich, R.1    Steiner, F.2
  • 25
    • 36149033614 scopus 로고
    • Statistical properties of high-lying chaotic eigenstates
    • Li B and Robnik M 1994 Statistical properties of high-lying chaotic eigenstates J. Phys. A: Math. Gen. 27 5509
    • (1994) J. Phys. A: Math. Gen. , vol.27 , pp. 5509
    • Li, B.1    Robnik, M.2
  • 26
    • 0038363064 scopus 로고    scopus 로고
    • Maximum norms of chaotic quantum eigenstates and random waves
    • Aurich R, Bäcker A, Schubert R and Taglieber M 1999 Maximum norms of chaotic quantum eigenstates and random waves Physica D 129 1
    • (1999) Physica D , vol.129 , pp. 1
    • Aurich, R.1    Bäcker, A.2    Schubert, R.3    Taglieber, M.4
  • 27
    • 0038176232 scopus 로고
    • Manifestations of classical phase space structures in quantum mechanics
    • Bohigas O, Tomsovic S and Ullmo D 1993 Manifestations of classical phase space structures in quantum mechanics Phys. Rep. 223 43
    • (1993) Phys. Rep. , vol.223 , pp. 43
    • Bohigas, O.1    Tomsovic, S.2    Ullmo, D.3
  • 28
    • 3342987324 scopus 로고
    • Statistics of wave functions in disordered and in classically chaotic systems
    • Müller K, Mehlig B, Milde F and Schreiber M 1995 Statistics of wave functions in disordered and in classically chaotic systems Phys. Rev. Lett. 78 215
    • (1995) Phys. Rev. Lett. , vol.78 , pp. 215
    • Müller, K.1    Mehlig, B.2    Milde, F.3    Schreiber, M.4
  • 29
    • 20144372633 scopus 로고    scopus 로고
    • Phase space localization and matrix element distributions in systems with mixed classical phase space
    • Mehlig B, Müller K and Eckhardt B 1999 Phase space localization and matrix element distributions in systems with mixed classical phase space Phys. Rev. E 59 5272
    • (1999) Phys. Rev. E , vol.59 , pp. 5272
    • Mehlig, B.1    Müller, K.2    Eckhardt, B.3
  • 30
    • 0001454859 scopus 로고
    • Classical dynamics of a family of billiards with analytic boundaries
    • Robnik M 1983 Classical dynamics of a family of billiards with analytic boundaries J. Phys. A: Math. Gen. 16 3971
    • (1983) J. Phys. A: Math. Gen. , vol.16 , pp. 3971
    • Robnik, M.1
  • 31
    • 36149039923 scopus 로고
    • Quantising a generic family of billiards with analytic boundaries
    • Robnik M 1984 Quantising a generic family of billiards with analytic boundaries J. Phys. A: Math. Gen. 17 1049
    • (1984) J. Phys. A: Math. Gen. , vol.17 , pp. 1049
    • Robnik, M.1
  • 32
    • 21844504280 scopus 로고
    • Geometry of high-lying eigenfunctions in a plane billiard system having mixed-type classical dynamics
    • Li B and Robnik M 1995 Geometry of high-lying eigenfunctions in a plane billiard system having mixed-type classical dynamics J. Phys. A: Math. Gen. 28 2799
    • (1995) J. Phys. A: Math. Gen. , vol.28 , pp. 2799
    • Li, B.1    Robnik, M.2
  • 33
    • 0000518407 scopus 로고
    • Normal modes of billiards portrayed in the stellar (or nodal) representation Chaos
    • Tualle J M and Voros A 1995 Normal modes of billiards portrayed in the stellar (or nodal) representation Chaos, Solitons Fractals 5 1085
    • (1995) Solitons Fractals , vol.5 , pp. 1085
    • Tualle, J.M.1    Voros, A.2
  • 34
    • 0031249998 scopus 로고    scopus 로고
    • Quantitative study of scars in the boundary section of the stadium billiard
    • Simonotti F P, Vergini E and Saraceno M 1997 Quantitative study of scars in the boundary section of the stadium billiard Phys. Rev. E 56 3859
    • (1997) Phys. Rev. E , vol.56 , pp. 3859
    • Simonotti, F.P.1    Vergini, E.2    Saraceno, M.3
  • 35
    • 0037169447 scopus 로고    scopus 로고
    • Autocorrelation function of eigenstates in chaotic and mixed systems
    • (following paper) (nlin.cd/0106018)
    • Bäcker A and Schubert R 2002 Autocorrelation function of eigenstates in chaotic and mixed systems J. Phys. A: Math. Gen. 35 539 (following paper) (nlin.cd/0106018)
    • (2002) J. Phys. A: Math. Gen. , vol.35 , pp. 539
    • Bäcker, A.1    Schubert, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.