Published 1980
| Version v1
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Reduction of the quasipotential equations to the Sturm-Liouville problems and the method of standardized equation
Description
The comparison equation method (CEM) allowing to find solutions in the form of asymptotic series over reverse coupling constant degrees is formulated and applied to the quasipotential Sturm-Liouville problem in the momentum representation. The descrete energy spectrum at arbitrary binding energies is obtained with the help of this method. The problem with the Cramers substitution is discussed using a modified version of the quasipotential Sturm-Liouville problem as an example. This substitution is necessary if the initial equation cannot be exactly standardized
Availability note (English)
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12582754.pdf
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Additional details
Additional titles
- Original title (Russian)
- Сведение квазипотенциальных уравнений к задачам Штурма-Лиувилля и метод эталонного уравнения
Publishing Information
- Imprint Pagination
- 16 p.
- Report number
- JINR-R--2-80-270
INIS
- Country of Publication
- USSR
- Country of Input or Organization
- USSR
- INIS RN
- 12582754
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ASYMPTOTIC SOLUTIONS; BOUNDARY CONDITIONS; ITERATIVE METHODS; PARTIAL WAVES; QUASIPOTENTIAL EQUATION; SCATTERING AMPLITUDES; STURM-LIOUVILLE EQUATION
- Descriptors DEC
- AMPLITUDES; DIFFERENTIAL EQUATIONS; EQUATIONS; INTEGRAL EQUATIONS
Optional Information
- Notes
- 16 refs.; submitted to the journal Theor. Math. Phys.