Published February 2004
| Version v1
Journal article
Adiabatic Limit Interference Effects for Two Energy Level Transition Amplitudes and Nikitin-Umanskii Formula Studied by Fundamental Solution Method
Creators
- 1. Institute of Physics, Pedagogical University of Czestochowa, Czestochowa (Poland)
Description
A method of fundamental solutions has been used to study adiabatic transition amplitudes in two energy level systems for a class of Hamiltonians allowing some simplifications of Stokes graphs corresponding to such transitions. It has been shown that for simplest such cases the amplitudes take the Nikitin-Umanskii form but for more complicated ones they are formed by a sum of terms strictly related to a structure of Stokes graph corresponding to such cases. These results are in a full agreement with the ones of Joye, Mileti and Pfister [Phys. Rev. A44, 4280 (1991)] found by other method
Additional details
Additional titles
- Augmented title (English)
- PACS numbers: 03.65.-w, 03.65.Sq, 02.30.Lt, 02.30.Mv
Publishing Information
- Journal Title
- Acta Physica Polonica. Series B
- Journal Volume
- B35
- Journal Issue
- 2
- Journal Page Range
- p. 551-578
- ISSN
- 0587-4254
INIS
- Country of Publication
- Poland
- Country of Input or Organization
- Poland
- INIS RN
- 35084143
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ANALYTICAL SOLUTION; ENERGY-LEVEL TRANSITIONS; HAMILTONIANS; INTERFERENCE; MAGNETIC FIELDS; SCHROEDINGER EQUATION; TRANSITION AMPLITUDES; UNITARY SYMMETRY
- Descriptors DEC
- AMPLITUDES; DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL OPERATORS; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS; SYMMETRY; WAVE EQUATIONS
Optional Information
- Contract/Grant/Project number
- KBN Grant 5P03B06021
- Notes
- 21 refs., 5 figs.
- Funding organization
- Polish State Committee for Scientific Research (Poland)