量子路径上的Levy飞行
Levy Flights over Quantum Paths
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.
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