Analytical results for state-to-state transition probabilities in the multistate Landau-Zener model by nonstationary perturbation theory

Journal Article · Thu Feb 15 00:00:00 EST 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.75.022105· OSTI ID:20982064

Volkov, M V ^[1]; Ostrovsky, V N ^[1]

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1. V. Fock Institute of Physics, St Petersburg State University, St Petersburg 198504, (Russian Federation)

Multistate generalizations of Landau-Zener model are studied by summing entire series of perturbation theory. A technique for analysis of the series is developed. Analytical expressions for probabilities of survival at the diabatic potential curves with extreme slope are proved. Degenerate situations are considered when there are several potential curves with extreme slope. Expressions for some state-to-state transition probabilities are derived in degenerate cases.

• OSTI ID: 20982064
• Journal Information: Physical Review. A, Vol. 75, Issue 2; Other Information: DOI: 10.1103/PhysRevA.75.022105; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
LANDAU-ZENER FORMULA
LIFETIME
PERTURBATION THEORY
POTENTIAL ENERGY
PROBABILITY
SURFACES