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Foundations of Nonlinear Quantum Mechanics

Research paper by Edward Rówiński

Indexed on: 15 Jan '19Published on: 15 Jan '19Published in: arXiv - Quantum Physics



Abstract

Foundations of nonlinear quantum mechanics is based on the six postulates and the five propositions. On a first quantized level, these approaches are build on nonlinear differential operators, nonlinear eigenvalue equation, and use the notion of nonlinear observables and nonlinear states. The present theory predicts that the nonlinear function solution of nonlinear partial differential equation for a free particle of mass is correct result and the commutator of the position operator and the nonlinear momentum operator does not commute. Moreover, the implicit wave function of linear quantum mechanics can be determined by nonlinear wave function, which also verifies the nonlinear quantum mechanics.