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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...
A classical particle that is initially in a classically allowed region of a potential is not confined to this region for all time if its energy is complex. Rather, the particle may travel through com...
In a previous paper, a project of constructing quantum models of classical properties has been started. The present paper concludes the project by turning to classical mechanics. The quantum states th...
2006Vol.46No.1pp.43-45DOI: Integrating Factors and Conservation Theorems of Lagrangian Equations for Nonconservative Mechanical System in Generalized Classical Mechanics QIAO Yong...
2006Vol.45No.6pp.961-964DOI: Non-Noether Conserved Quantity of Poincaré-Chetaev Equations of a Generalized Classical Mechanics ZHANG Peng-Yu, FANG Jian-Hui, WANG Peng, and DING Ni...
2004Vol.41No.5pp.685-688DOI: Classical Mechanics and Quantum Mechanics REN De-Ming Department of Physics, Peking University, Beijing 100087, China (Received: ...
2004Vol.42No.6pp.899-902DOI: A New Conservation Law Derived from Mei Symmetry for the System of Generalized Classical Mechanics ZHANG Yi Department of Civil Engineering,...
In spite of its popularity, it has not been possible to vindicate the conventional wisdom that classical mechanics is a limiting case of quantum mechanics.The purpose of the present paper is to offer ...

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