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math.AP2017
A Tight Nonlinear Approximation Theory for Time Dependent Closed Quantum Systems
Joseph W. Jerome
The approximation of fixed points by numerical fixed points was presented in the elegant monograph of Krasnosel'skii et al. (1972). The theory, both in its formulation and implemen…
math.AP2017
Consistency of the Local Density Approximation and Generalized Quantum Corrections for Time Dependent Closed Quantum Systems
Joseph W. Jerome
Time dependent quantum systems are the subject of intense inquiry, in mathematics, science, and engineering, particularly at the atomic and molecular levels. In 1984, Runge and Gro…
math.AP2017
Convergent Iteration in Sobolev Space for Time Dependent Closed Quantum Systems
Joseph W. Jerome
Time dependent quantum systems have become indispensable in science and its applications, particularly at the atomic and molecular levels. Here, we discuss the approximation of clo…