Calculation of the level splitting of energy and the decay rate of some one-dimensional potentials by instantons method

DOI10.1063/1.533160zbMath0978.81027OpenAlexW2048932711MaRDI QIDQ2737846

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Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.533160

zbMATH Keywords

metastable statesheat kernel methodshape invariance symmetryLanger-Polyakov-Coleman

Mathematics Subject Classification ID

Perturbation theories for operators and differential equations in quantum theory (81Q15) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (2)

A nonstandard Euler scheme for \(y+g(y)y'+f(y)y=0\) ⋮ Langer–Cherry derivation of the multi-instanton expansion for the symmetric double well

Cites Work

• Parasupersymmetry and shape invariance in differential equations of mathematical physics and quantum mechanics
• Supersymmetry and shape invariance in differential equations of mathematical physics.
• Calculation of the determinant of shape invariant operators.
• Wave function of the Universe

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