Published January 1987
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A new realization of dynamical groups and factorization method
Creators
- 1. International Centre for Theoretical Physics, Trieste (Italy)
- 2. State Univ. of New York, Albany (USA). Dept. of Physics
- 3. Trento Univ. (Italy). Dipt. di Fisica
Description
A new method of algebraization of quantum mechanical eigenvalue equations is presented. In this method the dynamical algebra is represented on the space of group matrix elements. The ladder operators of the dynamical algebra are obtained from Infeld-Hull-Miller factorizations. The method is used to study the first Poeschl-Teller equation even in the non-symmetric case. The energy spectrum and the exact normalized solutions are obtained in agreement with the results of non-algebraic methods. (author). 22 refs
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Additional details
Publishing Information
- Imprint Pagination
- 14 p.
- Report number
- IC--87/2
INIS
- Country of Publication
- International Atomic Energy Agency (IAEA)
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 19037180
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRA; ANALYTICAL SOLUTION; EIGENVALUES; LIE GROUPS; MATRIX ELEMENTS; QUANTIZATION; QUANTUM MECHANICS; QUANTUM OPERATORS; WAVE EQUATIONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL OPERATORS; MATHEMATICS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; SYMMETRY GROUPS