Time as a Dynamical Variable

Z. Y. Wang; B. Chen; C. D. Xiong

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Time as a Dynamical Variable

Z. Y. Wang·B. Chen·C. D. Xiong

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Abstract

There are enough reasons for us to consider time as a dynamical variable or operator; but according to Pauli's argument the existence of a self-adjoint time operator is incompatible with the semi-boundedness of Hamiltonian spectrum. In this article, we study the expressions of time operator and the definitions of mean time from a general and new viewpoint, make a new comment on Pauli's objections, and clarify some possible confusion in existing theories of time in quantum mechanics. From which we try to provide a new gateway for the conundrum of time in quantum mechanics and reconstruct a unified foundation for some issues of time.

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Z. Y. Wang, B. Chen, C. D. Xiong. 2011-04-24. Time as a Dynamical Variable. https://arxiv.org/abs/quant-ph/0311188

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