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arXiv math-ph/0007002math-phmath.MP
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薛定谔方程与信息论相容吗?

Is Schroedinger equation consistent with information theory?

R. P. Venkataraman

摘要:

结果表明,薛定谔方程与信息论是不相容的。从修正形式的信息,确保它产生的最可能的密度函数符合一般形式的连续黎曼可积密度函数,有实或虚零点或奇点在端点的$[a,b] εR$,一个新的变分公式的量子力学,产生一个系统的欧拉-拉格朗日方程是非线性的。证明了该方程组的解是唯一的、正交的和完备的。求解了一维谐振子。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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