Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

理论物理通讯:英文版

On Quantum Mechanical Hankel Transform and Its Applications

Fan Fan, Hong-Yi, Wang, Ji-Suo

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

基于我们怎么联系数学 Hankeltransform 到量的前面的工作机械表示变换并且怎么在我们建议的一些适当代表由操作员身份表示 Bessel 方程关于量状态向量的 quantummechanicaJ Hankel 变换的概念。然后,我们讨论它的新应用。

Related papers

Study Hankel Transforms and Properties of Bessel Function via Entangled State Representation Transformation in Quantum Mechanics

Fan, Hong-Yi, Wang +1 more

在 Phys。Lett。一 313 (2003 ) 343 我们发现了自我相互的 Hankeltransformation (HT ) 被在连续统变量的二个纠缠的州的代表之间的变换在量力学表达。在这个工作,我们在量力学经由纠缠的州的表示的转变学习 Hankel 变换和性质 ofBessel 功能。

理论物理通讯:英文版•Jan 1, 2006•0 citations

On Quantum Mechanical Hankel Transform and Its Applications

Fan Hong‐Yi, Ji‐Suo Wang

Based on our preceding works of how to relate the mathematical Hankel transform to quantum mechanical representation transform and how to express the Bessel equation by an operator identity in some appropriate representations we propose the concept of quantum mechanical Hankel transform with regard to quantum state vectors. Then we discuss its new applications.

Communications in Theoretical Physics•Aug 1, 2007•1 citation

Hankel transform as a transform between two entangled state representations

Hong-Yi Fan

Physics Letters A•Jun 2, 2003•23 citations

A Generalized Hankel Transformation Derived by Parametrized Entangled State Representations

Fan Fan, Hong-Yi, Hu +1 more

理论物理通讯:英文版•Jan 1, 2008•0 citations

Study Hankel Transforms and Properties of Bessel Function via Entangled State Representation Transformation in Quantum Mechanics

Fan Hong‐Yi, Yong Wang

In Phys. Lett. A 313 (2003) 343 we have found that the self-reciprocal Hankel transformation (HT) is embodied in quantum mechanics by a transform between two entangled state representations of continuum variables. In this work we study Hankel transforms and properties of Bessel function via entangled state representations' transformation in quantum mechanics.

Communications in Theoretical Physics•May 1, 2006•3 citations

Quantum thermodynamics and its applications in quantum energy devices

BAI Siyuan, WU Wei, Junhong AN

量子技术的最新进展催生了量子热力学这一领域,其目标是为远离平衡态的量子系统重新定义热力学概念并重构热力学定律。在理论层面,它使十九世纪的热力学现代化并拓展到量子领域。在实际应用层面,它使得设计和优化超越经典极限的能源器件成为可能。在本文中,我们简要回顾如何在量子力学的框架内定义功、热、熵等热力学函数以及它们所服从的非平衡涨落定理。在此基础上,我们进一步介绍量子热化、量子热机与量子电池的基本概念以及最新的研究进展。

Acta Physica Sinica•Jan 1, 2026•0 citations
量子技术的最新进展催生了量子热力学这一领域,其目标是为远离平衡态的量子系统重新定义热力学概念并重构热力学定律。在理论层面,它使十九世纪的热力学现代化并拓展到量子领域。在实际应用层面,它使得设计和优化超越经典极限的能源器件成为可能。在本文中,我们简要回顾如何在量子力学的框架内定义功、热、熵等热力学函数以及它们所服从的非平衡涨落定理。在此基础上,我们进一步介绍量子热化、量子热机与量子电池的基本概念以及最新的研究进展。