2000/07/03 by Rangachari Venkataraman, R. P. Venkataraman, Venkataraman, R. P.
Computer Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Neural Networks and Applications #Quantum Mechanics and Applications #Statistical Mechanics and Entropy #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.math-ph/0007002
8 pages
arxiv created 2000/07/03 · openalex publication_date 2000/07/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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] εR, 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.