메뉴 건너뛰기




Volumn 30, Issue 1, 1997, Pages 295-315

Eigenstate structures around a hyperbolic point

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0031556889     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/30/1/021     Document Type: Article
Times cited : (38)

References (24)
  • 1
    • 84963294839 scopus 로고
    • Equilibre instable en régime semi-classique I
    • Colin de Verdière Y and Parisse B 1994 Equilibre instable en régime semi-classique I Commun. Part. Diff. Eqns 19 1535-63; 1994 II Ann. Inst. H. Poincaré (Physique Théorique) 61 347-67
    • (1994) Commun. Part. Diff. Eqns , vol.19 , pp. 1535-1563
    • Colin De Verdière, Y.1    Parisse, B.2
  • 2
    • 84963294839 scopus 로고
    • II
    • Colin de Verdière Y and Parisse B 1994 Equilibre instable en régime semi-classique I Commun. Part. Diff. Eqns 19 1535-63; 1994 II Ann. Inst. H. Poincaré (Physique Théorique) 61 347-67
    • (1994) Ann. Inst. H. Poincaré (Physique Théorique) , vol.61 , pp. 347-367
  • 3
    • 34249773743 scopus 로고
    • Semiclassical quantization rules near separatrices
    • Bleher P M 1994 Semiclassical quantization rules near separatrices Commun. Math. Phys. 165 621-40
    • (1994) Commun. Math. Phys. , vol.165 , pp. 621-640
    • Bleher, P.M.1
  • 4
    • 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
  • 5
    • 84980077803 scopus 로고
    • On a Hilbert space of analytic functions and an associated integral transform
    • Bargmann V 1961 On a Hilbert space of analytic functions and an associated integral transform Commun. Pure Appl. Math. 14 187-214; 1967 Commun. Pure Appl. Math. 20 1-101
    • (1961) Commun. Pure Appl. Math. , vol.14 , pp. 187-214
    • Bargmann, V.1
  • 6
    • 84980077803 scopus 로고
    • Bargmann V 1961 On a Hilbert space of analytic functions and an associated integral transform Commun. Pure Appl. Math. 14 187-214; 1967 Commun. Pure Appl. Math. 20 1-101
    • (1967) Commun. Pure Appl. Math. , vol.20 , pp. 1-101
  • 9
    • 0000733386 scopus 로고
    • Coherent states: Theory and some applications
    • Zhang W-H, Feng D H and Gilmore R 1990 Coherent states: Theory and some applications Rev. Mod. Phys. 62 867-927
    • (1990) Rev. Mod. Phys. , vol.62 , pp. 867-927
    • Zhang, W.-H.1    Feng, D.H.2    Gilmore, R.3
  • 11
    • 0001381047 scopus 로고
    • Some formal properties of the density matrix
    • Husimi K 1940 Some formal properties of the density matrix Proc. Phys. Math. Soc. Japan, 22 264-314
    • (1940) Proc. Phys. Math. Soc. Japan , vol.22 , pp. 264-314
    • Husimi, K.1
  • 12
    • 0022678152 scopus 로고
    • Wigner and Husimi function in quantum mechanics
    • Takahashi K 1986 Wigner and Husimi function in quantum mechanics J. Phys. Soc. Japan 55 762-79; 1989 Distribution functions in classical and quantum mechanics Prog. Theor. Phys. Suppl. 98 109-56
    • (1986) J. Phys. Soc. Japan , vol.55 , pp. 762-779
    • Takahashi, K.1
  • 13
    • 0022678152 scopus 로고
    • Distribution functions in classical and quantum mechanics
    • Takahashi K 1986 Wigner and Husimi function in quantum mechanics J. Phys. Soc. Japan 55 762-79; 1989 Distribution functions in classical and quantum mechanics Prog. Theor. Phys. Suppl. 98 109-56
    • (1989) Prog. Theor. Phys. Suppl. , vol.98 , pp. 109-156
  • 14
    • 0002011032 scopus 로고
    • Semiclassical approximations in the coherent-state representation
    • Kurchan J, Leboeuf P and Saraceno M 1989 Semiclassical approximations in the coherent-state representation Phys. Rev. A 40 6800-13
    • (1989) Phys. Rev. A , vol.40 , pp. 6800-6813
    • Kurchan, J.1    Leboeuf, P.2    Saraceno, M.3
  • 15
    • 0000818498 scopus 로고
    • WKB method in the Bargmann representation
    • Voros A 1989 WKB method in the Bargmann representation Phys. Rev: A 40 6814-25
    • (1989) Phys. Rev: A , vol.40 , pp. 6814-6825
    • Voros, A.1
  • 16
    • 0040976632 scopus 로고
    • Husimi function around hyperbolic point
    • Takahashi K 1986 Husimi function around hyperbolic point J. Phys. Soc. Japan 55 1783-6
    • (1986) J. Phys. Soc. Japan , vol.55 , pp. 1783-1786
    • Takahashi, K.1
  • 17
    • 0001996905 scopus 로고
    • Chaos-revealing multiplicative representation of quantum eigenstates
    • Leboeuf P and Voros A 1990 Chaos-revealing multiplicative representation of quantum eigenstates J. Phys. A: Math. Gen. 23 1765-74
    • (1990) J. Phys. A: Math. Gen. , vol.23 , pp. 1765-1774
    • Leboeuf, P.1    Voros, A.2
  • 18
    • 0039623966 scopus 로고
    • Quantum nodal points as fingerprints of classical chaos
    • ed G Casati and B V Chirikov (Cambridge: Cambridge University Press)
    • Leboeuf P and Voros A 1995 Quantum nodal points as fingerprints of classical chaos Quantum Chaos: Between Order and Disorder ed G Casati and B V Chirikov (Cambridge: Cambridge University Press) pp 507-33
    • (1995) Quantum Chaos: Between Order and Disorder , pp. 507-533
    • Leboeuf, P.1    Voros, A.2
  • 19
    • 0037951406 scopus 로고
    • Phase space approach to quantum dynamics
    • Leboeuf P 1991 Phase space approach to quantum dynamics J. Phys. A: Math. Gen. 24 4575-86
    • (1991) J. Phys. A: Math. Gen. , vol.24 , pp. 4575-4586
    • Leboeuf, P.1
  • 20
    • 0000518407 scopus 로고
    • Normal modes of billiards portrayed in the stellar (or nodal) representation
    • Tualle J-M and Voros A 1995 Normal modes of billiards portrayed in the stellar (or nodal) representation Chaos, Solitons and Fractals 5 1085-1102
    • (1995) Chaos, Solitons and Fractals , vol.5 , pp. 1085-1102
    • Tualle, J.-M.1    Voros, A.2
  • 22
    • 0242589677 scopus 로고
    • Wigner's function and tunneling
    • Balazs N L and Voros A 1990 Wigner's function and tunneling Ann. Phys., NY 199 123-40
    • (1990) Ann. Phys., NY , vol.199 , pp. 123-140
    • Balazs, N.L.1    Voros, A.2
  • 24
    • 0000949640 scopus 로고
    • Uniform asymptotic expansions for Weber parabolic cylinder functions of large orders
    • Olver F W J 1959 Uniform asymptotic expansions for Weber parabolic cylinder functions of large orders J. Res. NBS B 63 131-69
    • (1959) J. Res. NBS B , vol.63 , pp. 131-169
    • Olver, F.W.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.