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Is Schroedinger equation consistent with information theory? | | R. P. Venkataraman
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3 Jul 2000 | | Subject: | Mathematical Physics | math-ph math.MP | | Abstract: | 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. | | Source: | arXiv, math-ph/0007002 | | Services: | Forum | Review | PDF | Favorites | |
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