Solution of the Time-Dependent Schrödinger Equation by the Laplace Transform Method | Zendy

S. H. Lin | Zendy; Henry Eyring | Zendy

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Solution of the Time-Dependent Schrödinger Equation by the Laplace Transform Method

Author(s) -

S. H. Lin,

Henry Eyring

Publication year - 1971

Publication title -

proceedings of the national academy of sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 5.011

H-Index - 771

eISSN - 1091-6490

pISSN - 0027-8424

DOI - 10.1073/pnas.68.1.76

Subject(s) - laplace transform , perturbation (astronomy) , variation of parameters , green's function for the three variable laplace equation , mathematical analysis , laplace transform applied to differential equations , poincaré–lindstedt method , mathematics , differential equation , laplace's equation , partial differential equation , schrödinger equation , inverse laplace transform , physics , singular perturbation , quantum mechanics

The time-dependent Schrödinger equation for two quite general types of perturbation has been solved by introducing the Laplace transforms to eliminate the time variable. The resulting time-independent differential equation can then be solved by the perturbation method, the variation method, the variation-perturbation method, and other methods.

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