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arXiv quant-ph/0504106quant-ph
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量子路径上的Levy飞行

Levy Flights over Quantum Paths

Nick Laskin

摘要:

研究了Levy飞行路径上的积分对量子力学核的影响。用Fox H函数给出了自由粒子核的解析表达式。得到了盒中粒子核的一个新方程,新的一般结果包括了自由粒子核和盒中粒子核的量子公式。

英文摘要:

An impact of integration over the paths of the Levy flights on the quantum mechanical kernel has been studied. Analytical expression for a free particle kernel has been obtained in terms of the Fox H-function. A new equation for the kernel of a partical in the box has been found. New general results include the well known quantum formulae for a free particle kernel and particle in box kernel.

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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