Abstract
Recently there has been an interest inalternative solution methods to otherwise difficult or computationally expensive DFT density functional theory and many-particle physics theory and quantum mechanics. In previous articles we utilized transformation methods by which the nonlinearity of the extensive quantum mechanics was advantageously re-defined to a system of equations comprised of linear PDEs of the 2nd order Schroedinger equation type coupled to 1st order nonlinear PDEs of the transformations, thus obtaining simplified analytical mathematics solutions and computational alternatives for the many-body problem...in this article we derive transformations at the PDE level and its derivation from 2nd quantization briefly discuss other approaches.
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