Is Schroedinger equation consistent with information theory?

Details Is Schroedinger equation consistent with information theory? Is Schroedinger equation consistent with information theory?

2000-07-03

arxiv.org/abs/math-ph/0007002v1

Physics

Mathematical Physics

8 pages

Scientific paper

It is shown that Schroedinger equation is not consistent with information theory. From the modified form of information which ensures that the most probable density function it yields tallies with a general form of continuous Riemann integrable density function that has real or imaginary zeros or singularities at end points of $[a,b] \epsilon R$, a new variational formulation for quantum mechanics is proposed that yields a system of Euler-Lagrange equations that are non-linear. It is proved that the solutions of this system are unique, orthonormal and complete. One dimensional harmonic oscillator has been solved.

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