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Volumn 23, Issue 2, 2000, Pages 91-109

Complex WKB method for 3-level scattering systems

Author keywords

Adiabatic approximations; Exponential asymptotics; N level S matrix; Semiclassical analysis; Singular perturbations; Turning point theory

Indexed keywords


EID: 0041970048     PISSN: 09217134     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (7)

References (15)
  • 3
    • 0031206399 scopus 로고    scopus 로고
    • Refined landau-zener formulae: Multilevel systems and applications
    • G. Firica, Refined Landau-Zener formulae: Multilevel systems and applications, C. R. Acad. Sci. Ser. 1 325 (1997), 449.
    • (1997) C. R. Acad. Sci. Ser. 1 , vol.325 , pp. 449
    • Firica, G.1
  • 5
    • 0000426598 scopus 로고
    • The adiabatic theorem in the complex plane and the semi-classical calculation of nonadiabatic transition amplitudes
    • J.-T. Hwang and P. Pechukas, The adiabatic theorem in the complex plane and the semi-classical calculation of nonadiabatic transition amplitudes, J. Chem. Phys. 67 (1977), 4640-4653.
    • (1977) J. Chem. Phys. , vol.67 , pp. 4640-4653
    • Hwang, J.-T.1    Pechukas, P.2
  • 6
    • 0028495271 scopus 로고
    • Proof of the Landau-Zener formula
    • A. Joye, Proof of the Landau-Zener formula, Asymptotic Analysis 9 (1994), 209-258.
    • (1994) Asymptotic Analysis , vol.9 , pp. 209-258
    • Joye, A.1
  • 7
    • 0031492820 scopus 로고    scopus 로고
    • Exponential asymptotics in a singular limit for n-level scattering systems
    • A. Joye, Exponential asymptotics in a singular limit for n-level scattering systems, SIAM J. Math. Anal. 28 (1997), 669-703.
    • (1997) SIAM J. Math. Anal. , vol.28 , pp. 669-703
    • Joye, A.1
  • 8
    • 0000786142 scopus 로고
    • Exponential decay and geometric aspect of transition probabilities in the adiabatic limit
    • A. Joye, H. Kunz and C.-E. Pfister, Exponential decay and geometric aspect of transition probabilities in the adiabatic limit, Ann. Phys. 208 (1991), 299-332.
    • (1991) Ann. Phys. , vol.208 , pp. 299-332
    • Joye, A.1    Kunz, H.2    Pfister, C.-E.3
  • 9
    • 21144476366 scopus 로고
    • Superadiabatic evolution and adiabatic transition probability between two non-degenerate levels isolated in the spectrum
    • A. Joye and C.-E. Pfister, Superadiabatic evolution and adiabatic transition probability between two non-degenerate levels isolated in the spectrum, J. Math. Phys. 34 (1993), 454-479.
    • (1993) J. Math. Phys. , vol.34 , pp. 454-479
    • Joye, A.1    Pfister, C.-E.2
  • 11
    • 0042525953 scopus 로고
    • Semi-classical asymptotics beyond all orders for simple scattering systems
    • A. Joye and C.-E. Pfister, Semi-classical asymptotics beyond all orders for simple scattering systems, SIAM J. Math. Anal. 26 (1995), 944-977.
    • (1995) SiAM J. Math. Anal. , vol.26 , pp. 944-977
    • Joye, A.1    Pfister, C.-E.2
  • 13
    • 0001666441 scopus 로고
    • Semi-classical inelastic S-matrix for one-dimensional N-states systems
    • Ph.A. Martin and G. Nenciu, Semi-classical inelastic S-matrix for one-dimensional N-states systems, Rev. Math. Phys. 7 (1995), 193-242.
    • (1995) Rev. Math. Phys. , vol.7 , pp. 193-242
    • Martin, Ph.A.1    Nenciu, G.2
  • 14
    • 0039918893 scopus 로고
    • General connection formulae for Liouville-Green approximations in the complex plane
    • F.W.J. Olver, General connection formulae for Liouville-Green approximations in the complex plane. Philos. Trans. Roy. Soc. London Ser. A 289 (1978), 501-548.
    • (1978) Philos. Trans. Roy. Soc. London Ser. A , vol.289 , pp. 501-548
    • Olver, F.W.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.