Factorization of the Non-Stationary Schrodinger Operator
classification
🧮 math-ph
math.APmath.MP
keywords
operatorschrodingerdiracfactorizationnon-stationaryoperatorsparabolicafterwards
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We consider a factorization of the non-stationary Schrodinger operator based on the parabolic Dirac operator introduced by Cerejeiras/ Kahler/ Sommen. Based on the fundamental solution for the parabolic Dirac operators, we shall construct appropriated Teodorescu and Cauchy-Bitsadze operators. Afterwards we will describe how to solve the nonlinear Schrodinger equation using Banach fixed point theorem.
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