量子力学中的分数演化

Q1 Mathematics

Chaos, Solitons and Fractals: X Pub Date : 2019-03-01 DOI:10.1016/j.csfx.2018.100001

A. Iomin

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引用次数: 23

摘要

分数时间(非酉)量子力学讨论了Schrödinger和海森堡表示的量子力学。给出了分数阶Schrödinger方程的正确形式。提出了分数阶海森堡运动方程的一般正则化方法，使得在考虑光子和自旋相干态的框架下求解这些非线性方程成为可能。

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Fractional evolution in quantum mechanics

Fractional time (non-unitary) quantum mechanics is discussed for both Schrödinger and Heisenberg representations of quantum mechanics. A correct form of the fractional Schrödinger equation is elucidated. A generic regularization procedure for the fractional Heisenberg equations of motion is suggested that makes it possible to solve these nonlinear equations in the framework of photonic and spin coherent states consideration.

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来源期刊

Chaos, Solitons and Fractals: X Mathematics-Mathematics (all)

CiteScore

5.00

自引率

0.00%

发文量

审稿时长

20 weeks