메뉴 건너뛰기




Volumn 205, Issue 2, 1999, Pages 459-500

Singular Bohr-Sommerfeld rules

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0033426827     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050686     Document Type: Article
Times cited : (42)

References (26)
  • 1
    • 34249773743 scopus 로고
    • Semi-classical quantization rules near separatrices
    • 1. Bleher, P.: Semi-classical quantization rules near separatrices. Commun. Math. Phys. 165, 621-640 (1994)
    • (1994) Commun. Math. Phys. , vol.165 , pp. 621-640
    • Bleher, P.1
  • 3
    • 34250301608 scopus 로고
    • Quasi-modes sur les variétés riemanniennes
    • 3. Colin de Verdière, Y.: Quasi-modes sur les variétés riemanniennes. Inventiones Math. 43, 15-52 (1977)
    • (1977) Inventiones Math. , vol.43 , pp. 15-52
    • Colin De Verdière, Y.1
  • 4
    • 0001777364 scopus 로고
    • Spectre conjoint d'opérateurs pseudo-différentiels qui commutent II: Le cas intégrable
    • 4. Colin de Verdière, Y.: Spectre conjoint d'opérateurs pseudo-différentiels qui commutent II: le cas intégrable. Math. Zeitschrift 171, 51-73 (1980)
    • (1980) Math. Zeitschrift , vol.171 , pp. 51-73
    • Colin De Verdière, Y.1
  • 6
    • 0009005345 scopus 로고    scopus 로고
    • Prépublication de l'Institut Fourier available at to appear in Annales de l'IHP (Physique Théorique)
    • 6. Colin de Verdière, Y., Lombardi, M. and Pollet, J.: La formule de Landau-Zener microlocale. Prépublication de l'Institut Fourier 412, 1-15 (1999) (available at http://www-fourier.ujf-grenoble.fr/), to appear in Annales de l'IHP (Physique Théorique)
    • (1999) La Formule de Landau-zener Microlocale , vol.412 , pp. 1-15
    • Colin De Verdière, Y.1    Lombardi, M.2    Pollet, J.3
  • 7
    • 84963294839 scopus 로고
    • Equilibre instable en régime semi-classique: I-Concentration microlocale
    • 7. Colin de Verdière, Y.: and Parisse, B.: Equilibre instable en régime semi-classique: I-Concentration microlocale. Commun. PDE 19, 1535-1563 (1994)
    • (1994) Commun. PDE , vol.19 , pp. 1535-1563
    • Colin De Verdière, Y.1    Parisse, B.2
  • 9
    • 0000918849 scopus 로고
    • Le lemme de Morse isochore
    • 9. Colin de Verdière, Y. and Vey, J.: Le lemme de Morse isochore. Topology 18, 283-293 (1979)
    • (1979) Topology , vol.18 , pp. 283-293
    • Colin De Verdière, Y.1    Vey, J.2
  • 11
    • 0031505907 scopus 로고    scopus 로고
    • Exact Semi-Classical Expansions For One Dimensional Quantum Oscillators
    • 11. Delabaere, E., Dillinger, H. and Pham, F.: Exact Semi-Classical Expansions For One Dimensional Quantum Oscillators. Journal math. Phys. 38, 6126-6184 (1997)
    • (1997) Journal Math. Phys. , vol.38 , pp. 6126-6184
    • Delabaere, E.1    Dillinger, H.2    Pham, F.3
  • 12
    • 0031537396 scopus 로고    scopus 로고
    • Unfolding the quartic oscillator
    • 12. Delabaere, E. and Pham, F.: Unfolding the quartic oscillator. Annals of Phys. 261, 180-218 (1997)
    • (1997) Annals of Phys. , vol.261 , pp. 180-218
    • Delabaere, E.1    Pham, F.2
  • 13
    • 84980174402 scopus 로고
    • Oscillatory integrals, Lagrange immersions and unfoldings of singularities. Commun
    • 13. Duistermaat, J.: Oscillatory integrals, Lagrange immersions and unfoldings of singularities. Commun. Pure appl. Math. 27, 207-281 (1974)
    • (1974) Pure Appl. Math. , vol.27 , pp. 207-281
    • Duistermaat, J.1
  • 14
    • 0002380441 scopus 로고    scopus 로고
    • Matrice de scattering et résonances associées à une orbite hétérocline. Annales de l'IHP
    • 14. Fujiié, S. and Ramond, T.: Matrice de scattering et résonances associées à une orbite hétérocline. Annales de l'IHP, Physique Théorique 69 (1), 31-83 (1998)
    • (1998) Physique Théorique , vol.69 , Issue.1 , pp. 31-83
    • Fujiié, S.1    Ramond, T.2
  • 15
    • 84972583786 scopus 로고
    • On a certain class of Fuchsian partial differential equations
    • 15. Guillemin, V. and Schaeffer, D.: On a certain class of Fuchsian partial differential equations. Duke Math. J. 44, 157-199 (1977)
    • (1977) Duke Math. J. , vol.44 , pp. 157-199
    • Guillemin, V.1    Schaeffer, D.2
  • 16
    • 0031492820 scopus 로고    scopus 로고
    • Exponential asymptotics in a singular limit for n-level scattering systems
    • 16. Joye, A.: Exponential asymptotics in a singular limit for n-level scattering systems. SIAM J. Math. Anal. 28, 669-703 (1997)
    • (1997) SIAM J. Math. Anal. , vol.28 , pp. 669-703
    • Joye, A.1
  • 17
    • 0030554479 scopus 로고    scopus 로고
    • Classical dynamics of the 1:1, 1:2 and 1:3 resonance Hamiltonians
    • 17. Joyeux, M.: Classical dynamics of the 1:1, 1:2 and 1:3 resonance Hamiltonians. J. Chem. Phys. 203, 281-307 (1996)
    • (1996) J. Chem. Phys. , vol.203 , pp. 281-307
    • Joyeux, M.1
  • 18
    • 0001666441 scopus 로고
    • Semi-classical inelastic S-matrix for one dimensional N-states systems
    • 18. Martin, P. and Nenciu, G.: Semi-classical inelastic S-matrix for one dimensional N-states systems. Reviews in Math. Phys. 7, 193-242 (1995)
    • (1995) Reviews in Math. Phys. , vol.7 , pp. 193-242
    • Martin, P.1    Nenciu, G.2
  • 19
    • 84974743838 scopus 로고
    • Spectral asymptotics for Hill's equation near the potential maximum
    • 19. März, C.: Spectral asymptotics for Hill's equation near the potential maximum. Asymptotic Anal. 5, 221-267 (1992)
    • (1992) Asymptotic Anal. , vol.5 , pp. 221-267
    • März, C.1
  • 23
    • 77958482863 scopus 로고    scopus 로고
    • Tunneling for h-Pseudodifferential Operators, Feshbach Resonances and the Born-Oppenheimer Approximation
    • M. Demuth, E. Schrohe, B. Schultze (eds), Advances in PDE no. 16, New York: Wiley
    • 23. Rouleux, M.: Tunneling for h-Pseudodifferential Operators, Feshbach Resonances and the Born-Oppenheimer Approximation. In: Evolution Equations, Feshbach resonances, Singular Hodge Theory, M. Demuth, E. Schrohe, B. Schultze (eds), Advances in PDE no. 16, New York: Wiley, 1999
    • (1999) Evolution Equations, Feshbach Resonances, Singular Hodge Theory
    • Rouleux, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.