# Formulation of a unified method for low- and high-energy expansions in the analysis of reflection coefficients for one-dimensional Schr\"odinger equation

@article{Miyazawa2015FormulationOA, title={Formulation of a unified method for low- and high-energy expansions in the analysis of reflection coefficients for one-dimensional Schr\"odinger equation}, author={Toru Miyazawa}, journal={arXiv: Mathematical Physics}, year={2015} }

We study low-energy expansion and high-energy expansion of reflection coefficients for one-dimensional Schr\"odinger equation, from which expansions of the Green function can be obtained. Making use of the equivalent Fokker-Planck equation, we develop a generalized formulation of a method for deriving these expansions in a unified manner. In this formalism, the underlying algebraic structure of the problem can be clearly understood, and the basic formulas necessary for the expansions can be…

## 2 Citations

### SL(3, C) structure of one-dimensional Schrödinger equation

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- 2018

We present a new formalism for describing solutions of the one-dimensional stationary Schrodinger equation in terms of the Lie group SL(3, C) and its Lie algebra. In this formalism, we obtain a…

### A Complete Bibliography of Publications in the Journal of Mathematical Physics: 2005{2009

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- 2015

(2 < p < 4) [200]. (Uq(∫u(1, 1)), oq1/2(2n)) [92]. 1 [273, 79, 304, 119]. 1 + 1 [252]. 2 [352, 318, 226, 40, 233, 157, 299, 60]. 2× 2 [185]. 3 [456, 363, 58, 18, 351]. ∗ [238]. 2 [277]. 3 [350]. p…

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