QUANTUM MECHANICS, MATHEMATICAL STATISTICS AND DEFORMED COMMUTATION RELATIONS

Lubomlr Skala

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QUANTUM MECHANICS, MATHEMATICAL STATISTICS AND DEFORMED COMMUTATION RELATIONS

机译：量子力学，数理统计和变形换向关系

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摘要

In this paper, quantum mechanics and its relation to mathematical statistics are investigated. The Fisher information, wave function, kinetic energy, two new uncertainty relations, Klein-Gordon equation, probability density current and deformed commutation relations are discussed.

机译：本文研究了量子力学及其与数理统计的关系。讨论了Fisher信息，波动函数，动能，两个新的不确定性关系，Klein-Gordon方程，概率密度电流和变形换向关系。

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来源
《Hadronic Journal》 |2010年第6期|p.717-734|共18页
作者
Lubomlr Skala;
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作者单位

Charles University, Faculty of Mathematics and Physics Ke Karlovu 3, 121 16 Prague 2, Czech Republic;

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原文格式 PDF
正文语种 eng
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关键词
fisher information; wave function; kinetic energy; uncertainty relations; klein-gordon equation; probability density current; deformed commutation relations;

机译：渔民信息;波函数动能;不确定性关系;klein-gordon方程;概率密度电流变形换向关系;

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专利

1. Corrections to the emergent canonical commutation relations arising in the statistical mechanics of matrix models [J] . Adler SL., Kempf A. Journal of Mathematical Physics . 1998,第10期

机译：对矩阵模型的统计力学中出现的典型正则换向关系的校正
2. Quantum mechanics from Newton's second law and the canonical commutation relation [X,P] = i [J] . Mark C Palenik European journal of physics: A journal of the European Physical Society . 2014,第4期

机译：牛顿第二定律的量子力学与标准换向关系[X，P] = i
3. Maximally localized states in quantum mechanics with a modified commutation relation to all orders [J] . Dorsch G.C., Nogueira J.A. International Journal of Modern Physics, A. Particles and Fields, Gravitation, Cosmology . 2012,第21期

机译：量子力学中的最大局域态，其与所有阶的换向关系都经过修改
4. A BRIEF OVERVIEW OF QUANTUM FIELD THEORY WITH DEFORMED SYMMETRIES AND THEIR RELATION WITH QUANTUM GRAVITY [C] . ANTONINO MARCIANò Marcel Grossmann Meeting on General Relativity . 2012

机译：量子场理论与变形对称性的概述及其与量子重力的关系
5. Issues in quantum mechanics: Chaotic Hamiltonian ratchets and commutation relations. [D] . Pelc, Jordan. 2008

机译：量子力学中的问题：混沌哈密顿棘轮和换向关系。
6. ON COMMUTATION RULES IN THE ALGEBRA OF QUANTUM MECHANICS [O] . Neal H. McCoy 1929

机译：量子力学代数中的换向规则
7. Generalized deformed commutation relations with nonzero minimal uncertainties in position and/or momentum and applications to quantum mechanics [O] . Quesne, Christiane, Tkachuk, Volodymyr 2007

机译：位置和/或动量具有非零最小不确定性的广义变形换向关系及其在量子力学中的应用
8. AN UNIQUENESS THEOREM FOR ANTICOMMUTATION RELATIONS AND COMMUTATION RELATIONS OF QUANTUM SPIN SYSTEMS [R] . R. RODRIGUEZ, M. SIRUGUE-COLLIN, N. SIRUCUE 1978

机译：量子自旋系统的反对关系和换算关系的一个唯一定理

QUANTUM MECHANICS, MATHEMATICAL STATISTICS AND DEFORMED COMMUTATION RELATIONS

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