A theory of shift operators with applications to nonharmonic systems
| Autor: | B. L. Burrows, Maurice Cohen, Tova Feldmann |
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| Rok vydání: | 2001 |
| Předmět: |
Constant coefficients
Pure mathematics Microlocal analysis Spectral theorem Operator theory Condensed Matter Physics Atomic and Molecular Physics and Optics Fourier integral operator Linear differential equation Quantum mechanics Master equation Physical and Theoretical Chemistry Hypergeometric function Mathematics |
| Zdroj: | International Journal of Quantum Chemistry. 86:245-255 |
| ISSN: | 1097-461X 0020-7608 |
| DOI: | 10.1002/qua.1103 |
| Popis: | We present a theory of shift operators (i.e., operators which shift given solutions into other solutions), including their relationship with deformed algebras and describe a general constructive method which enables us to calculate such operators for a wide class of problems. These include the classical linear differential equations of the hypergeometric and confluent hypergeometric functions, a number of soluble nonrelativistic Schrodinger equations (including one with a non-Hermitian Hamiltonian), and a simple master equation. In general, the resulting shift-up and shift-down operators are level dependent but allow for the sequential generation of all required solutions. © 2001 John Wiley & Sons, Inc. Int J Quantum Chem, 2001 |
| Databáze: | OpenAIRE |
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