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Convergent expansions for tunneling. (English) Zbl 0579.47050

Authors’ abstract: A new method to compute effects of tunneling in one-dimensional multiple well is developed. A tunneling parameter built with physical quantities is introduced to measure the splitting between eigenvalues due to tunneling. These splittings are given by convergent series in term of this tunneling parameter for a wide class of double well.
Reviewer: Josef Wloka (Kiel)

MSC:

81Q15 Perturbation theories for operators and differential equations in quantum theory
34E20 Singular perturbations, turning point theory, WKB methods for ordinary differential equations
47E05 General theory of ordinary differential operators
47N50 Applications of operator theory in the physical sciences
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
35J10 Schrödinger operator, Schrödinger equation
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