Published 1987
| Version v1
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A new method to solve the one-dimensional Schroedinger equation
Description
The potential in the Schroedinger equation is divided by infinitesimal narrow gaps on separate potential barriers. The tops of these barriers are approximated by the second-order polynomials. The inside wave function and reflection and transmission amplitudes are obtained for every barrier separately. After that the recurrent relations are used to present the reflection amplitude for the total potential in the chain fraction form in terms of partial barrier amplitudes. The transmission amplitude and the wave function at any point inside the potential are constructed in the same way
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Additional details
Additional titles
- Original title (Russian)
- Новый метод решения одномерного уравнения Шредингера
Publishing Information
- Imprint Pagination
- 4 p.
- Report number
- JINR-R--4-87-878
INIS
- Country of Publication
- USSR
- Country of Input or Organization
- USSR
- INIS RN
- 19069538
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BOUND STATE; CONTINUED FRACTIONS; ONE-DIMENSIONAL CALCULATIONS; POLYNOMIALS; POTENTIALS; RECURSION RELATIONS; SCATTERING AMPLITUDES; SCHROEDINGER EQUATION; WAVE FUNCTIONS
- Descriptors DEC
- AMPLITUDES; DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS
Optional Information
- Notes
- 4 refs.; 1 fig.