Communications in Mathematical Analysis

Application of the SPPS Method to the One-dimensional Quantum Scattering

V. Rabinovich and F. Urbano Altamirano

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Abstract

The transmission and reflection coefficients for the scattering of a particle on one-dimensional potential are calculated by means of Spectral Parameter Power Series (SPPS). The results were compared with known results.

Article information

Source
Commun. Math. Anal., Volume 17, Number 2 (2014), 295-310.

Dates
First available in Project Euclid: 18 December 2014

Permanent link to this document
https://projecteuclid.org/euclid.cma/1418919772

Mathematical Reviews number (MathSciNet)
MR3292976

Zentralblatt MATH identifier
1320.81088

Subjects
Primary: 81U05: $2$-body potential scattering theory [See also 34E20 for WKB methods] 34L16: Numerical approximation of eigenvalues and of other parts of the spectrum

Keywords
potential barrier scattering Schrödinger equation Spectral Parameter Power Series (SPPS)

Citation

Rabinovich, V.; Altamirano, F. Urbano. Application of the SPPS Method to the One-dimensional Quantum Scattering. Commun. Math. Anal. 17 (2014), no. 2, 295--310. https://projecteuclid.org/euclid.cma/1418919772


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