Strong Coupling Solution to Schrödinger Equation: The Mixing of States
Author(s) -
L. M. Garrido,
Leandro Navarro
Publication year - 1970
Publication title -
journal of mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.708
H-Index - 119
eISSN - 1089-7658
pISSN - 0022-2488
DOI - 10.1063/1.1665272
Subject(s) - hamiltonian (control theory) , adiabatic process , schrödinger equation , coupling constant , reciprocal , equations of motion , physics , mathematical physics , classical mechanics , coupling (piping) , adiabatic quantum computation , mathematics , quantum mechanics , mechanical engineering , mathematical optimization , linguistics , philosophy , quantum computer , engineering , quantum
In this paper we give some ideas that can be useful to solve Schrödinger equations in the case when the Hamiltonian contains a large term. We obtain an expansion of the solution in reciprocal powers of the large coupling constant. The procedure followed consists in considering that the small part of the Hamiltonian engenders a motion adiabatic to the motion generated by the large part of the same
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