Exponential Decay for Barrier Potentials
Copyright policy )Exponential Decay for Barrier Potentials
The exponential decay of the probability of a quantum particle to remain inside the trap is calculated for the one-dimensional Schrödinger operator \(H = -d^2/dx^2 + V(x)\) acting in \(L^2({\mathbb{R}})\). The results generalize an earlier study of R. Levine for weaker conditions.
- Seoul National University Korea (Republic of)
- Korea Advanced Institute of Science and Technology Korea (Republic of)
Schrödinger operator, complex eigenvalues, 515, Applied Mathematics, Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.), Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, spectral problems, Analysis
Schrödinger operator, complex eigenvalues, 515, Applied Mathematics, Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.), Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, spectral problems, Analysis
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