Energy eigenvalues from an analytical transfer matrix method

doi:10.1088/1674-1056/19/4/040306

Abstract A detailed procedure based on an analytical transfer matrix method is presented to solve bound-state problems. The derivation is strict and complete. The energy eigenvalues for an arbitrary one-dimensional potential can be obtained by the method. The anharmonic oscillator potential and the rational potential are two important examples. Checked by numerical techniques, the results for the two potentials by the present method are proven to be exact and reliable.

Keywords: analytical transfer matrix method energy eigenvalues bound state one-dimensional potential

Received: 05 November 2009
Revised: 30 November 2009
Accepted manuscript online:

PACS:	03.65.Ge	(Solutions of wave equations: bound states)
	03.65.Fd	(Algebraic methods)
	02.10.Yn	(Matrix theory)
	02.10.Ud	(Linear algebra)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos.~60877055 and 60806041), the Shanghai Rising-Star Program, China (Grant No.~08QA14030), the Innovation Funds for Graduates of Shanghai University, China (Grant No. SHUCX09202

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He Ying(何英), Zhang Fan-Ming(张凡明), Yang Yan-Fang(杨艳芳), and Li Chun-Fang(李春芳) Energy eigenvalues from an analytical transfer matrix method 2010 Chin. Phys. B 19 040306

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