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math-ph2013★ 2 cited
WKB Approximation to the Power Wall
F. D. Mera, S. A. Fulling, J. D. Bouas +1
We present a semiclassical analysis of the quantum propagator of a particle confined on one side by a steeply, monotonically rising potential. The models studied in detail have pot…
math-ph2011
Convergence of the Neumann series for the Schrodinger equation and general Volterra equations in Banach spaces
Fernando D. Mera
The objective of the article is to treat the Schrödinger equation in parallel with a standard treatment of the heat equation. In the mathematics literature, the heat equation initi…