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2015年1月,中国科学院自然科学史研究所副研究员高山主编的英文论文集《保护性测量与量子实在》由剑桥大学出版社出版。该论文集是为纪念1993 年Yakir Aharonov,Lev Vaidman和Jeeva Anandan发现的一种新的量子测量方法——“保护性测量”距今20周年而做。利用“保护性测量”这种方法,可以直接测量出单个量子系统的波函数,对保护性测量的哲学分析可能会导致量子力学的一种新的...
We calculate certain features of Bose–Einstein condensation in the ideal gas by using recurrence relations for the partition function. The grand canonical ensemble gives inaccurate results for certain...
We present geometric derivations of the Smarr formula for static AdS black holes and an expanded first law that includes variations in the cosmological constant. These two results are further related ...
We give a general definition of \emph{relativistic force} in the context of Lagrangian mechanics. Once this is done we prove that the only relativistic forces which are linear on the velocities are th...
A fractional Hamiltonian formalism is introduced for the recent combined fractional calculus of variations. The Hamilton-Jacobi partial differential equation is generalized to be applicable for system...
视频:南京大学大学物理学第42讲 The formal theory of quantum mechanics
It is shown that description of a nonpolarized neutron beam by density matrix is contradictory. Density matrix is invariant with respect to choice of quantization axis, while experimental devices can ...
It is shown how the time-dependent Schr\"{o}dinger equation may be simply derived from the dynamical postulate of Feynman's path integral formulation of quantum mechanics and the Hamilton-Jacobi equat...
Despite the widespread assumptions on the compatibility between non-relativistic quantum mechanics and special relativity, there still remains a considerable amount of unresolved problems to which few...
Abstract: We consider a realization of supersymmetric quantum mechanics where supercharges are differential-difference operators with reflections. A supersymmetric system with an extended Scarf I pote...
Abstract: We present a formulation of relativistic classical and quantum mechanics in the Hilbert space with a linkage through the Ehrenfest quantization. We start with the covariant form of the Loren...
Abstract: This paper appeared in a collection of papers titled "Scientific Papers Presented to Max Born on his retirement from the Tait Chair of Natural Philosophy in the University of Edinburgh", pub...
Abstract: Based on empirical evidence, quantum eigenvalue equations appear to be strictly linear and gauge invariant. This work uses concise mathematics to show that quantum eigenvalue equations on a ...
Abstract: The Schroedinger equation is up-to-a-phase invariant under the Galilei group. This phase leads to the Bargmann's superselection rule, which forbids the existence of the superposition of stat...
Abstract: These lecture notes provide an elementary introduction, within the framework of finite quantum systems, to recent developments in the theory of entropic fluctuations.

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