메뉴 건너뛰기




Volumn 44, Issue 7, 2003, Pages 2806-2838

Exponentially accurate error estimates of quasiclassical eigenvalues. II. Several dimensions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0037998869     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1581353     Document Type: Article
Times cited : (3)

References (19)
  • 1
    • 0033216643 scopus 로고    scopus 로고
    • Normal forms and quantization formulas
    • Bambusi, D., Graffi, S., and Paul, T., "Normal forms and quantization formulas," Commun. Math. Phys. 207, 173-195 (1999).
    • (1999) Commun. Math. Phys. , vol.207 , pp. 173-195
    • Bambusi, D.1    Graffi, S.2    Paul, T.3
  • 2
    • 0001235866 scopus 로고
    • Krein's formula and one-dimensional multiple-well
    • Combes, J. M., Duclos, P., and Seiler, R., "Krein's formula and one-dimensional multiple-well," J. Funct. Anal. 52, 257-301 (1983).
    • (1983) J. Funct. Anal. , vol.52 , pp. 257-301
    • Combes, J.M.1    Duclos, P.2    Seiler, R.3
  • 4
    • 0034346372 scopus 로고    scopus 로고
    • Exponentially accurate semiclassical dynamics: Propagation, localization, Ehrenfest times, scattering, and more general states
    • Hagedorn, G. A. and Joye, A., "Exponentially accurate semiclassical dynamics: propagation, localization, Ehrenfest times, scattering, and more general states," Ann. Henri Poincaré 1, 837-883 (2000).
    • (2000) Ann. Henri Poincaré , vol.1 , pp. 837-883
    • Hagedorn, G.A.1    Joye, A.2
  • 5
    • 0003278519 scopus 로고
    • Semi-classical analysis for the Schrödinger operator and applications
    • Springer-Verlag, Berlin
    • Helffer, B., Semi-classical Analysis for the Schrödinger Operator and Applications, Lectures Notes in Mathematics, Vol. 1336 (Springer-Verlag, Berlin, 1988).
    • (1988) Lectures Notes in Mathematics , vol.1336
    • Helffer, B.1
  • 6
  • 7
    • 0031581987 scopus 로고    scopus 로고
    • Quasiclassical eigenvalues
    • Howland, J. S., "Quasiclassical eigenvalues," J. Phys. A 30, 2069-2076 (1997).
    • (1997) J. Phys. A , vol.30 , pp. 2069-2076
    • Howland, J.S.1
  • 8
    • 0037485999 scopus 로고
    • Notes on asymptotic perturbation theory for Schrdinger eigenvalue problems
    • Hunziker, W., "Notes on asymptotic perturbation theory for Schrdinger eigenvalue problems," Helv. Phys. Acta 61, 257-304 (1988).
    • (1988) Helv. Phys. Acta , vol.61 , pp. 257-304
    • Hunziker, W.1
  • 9
    • 0000746891 scopus 로고
    • Degenerate asymptotic perturbation theory
    • Hunziker, W. and Pillet, C. A., "Degenerate asymptotic perturbation theory," Commun. Math. Phys. 90, 219-233 (1983).
    • (1983) Commun. Math. Phys. , vol.90 , pp. 219-233
    • Hunziker, W.1    Pillet, C.A.2
  • 12
    • 0034347241 scopus 로고    scopus 로고
    • Invariant tori, effective stability, and quasimodes with exponentially small error terms I-Birkhoff normal forms
    • Popov, G., "Invariant tori, effective stability, and quasimodes with exponentially small error terms I-Birkhoff normal forms," Ann. Henri Poincaré 1, 223-248 (2000).
    • (2000) Ann. Henri Poincaré , vol.1 , pp. 223-248
    • Popov, G.1
  • 13
    • 0034364812 scopus 로고    scopus 로고
    • Invariant tori, effective stability, and quasimodes with exponentially small error terms II-quantum Birkhoff normal forms
    • Popov, G., "Invariant tori, effective stability, and quasimodes with exponentially small error terms II-quantum Birkhoff normal forms," Ann. Henri Poincaré 1, 249-279 (2000).
    • (2000) Ann. Henri Poincaré , vol.1 , pp. 249-279
    • Popov, G.1
  • 16
    • 0001149991 scopus 로고
    • Semiclassical analysis of low lying eigenvalues. I. Nondegenerate minima: Asymptotic expansions
    • Simon, B., "Semiclassical analysis of low lying eigenvalues. I. Nondegenerate minima: asymptotic expansions," Ann. I.H.P. Phys. Theor. 38, 295-308 (1983).
    • (1983) Ann. I.H.P. Phys. Theor. , vol.38 , pp. 295-308
    • Simon, B.1
  • 17
    • 0001983592 scopus 로고
    • Semiclassical analysis of low lying eigenvalues. II. Tunneling
    • Simon, B., "Semiclassical analysis of low lying eigenvalues. II. Tunneling," Ann. Math. 120, 89-118 (1984).
    • (1984) Ann. Math. , vol.120 , pp. 89-118
    • Simon, B.1
  • 18
    • 0002433882 scopus 로고
    • Singularités analytiques microlocales
    • Sjöstrand, J., "Singularités Analytiques Microlocales," Asérisque 95, 1-166 (1982).
    • (1982) Asérisque , vol.95 , pp. 1-166
    • Sjöstrand, J.1
  • 19
    • 0041028635 scopus 로고    scopus 로고
    • Exponentially accurate error estimates of quasiclassical eigenvalues
    • Toloza, J. H., "Exponentially accurate error estimates of quasiclassical eigenvalues," J. Phys. A 34, 1203-1218 (2001).
    • (2001) J. Phys. A , vol.34 , pp. 1203-1218
    • Toloza, J.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.