Abstract
The usual Virial theorem is expressed through the coordinate and the force, \(2\langle T\rangle =\langle X\frac{dV}{dX}\rangle =-\langle XF\rangle \), \(F=-\frac{dV}{dX}\), XF is the work done by the force F, T is the kinetic energy. In this paper we extend the usual discussion on the Virial theorem about coordinate-force variables to the case of angular displacement-torque variables. By virtue of introducing the entangled state representation and the bosonic operator realization of the Hamiltonian of quantum pendulum system we derive the Virial theorem for angular variable and torque.
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Project supported by the National Natural Science Foundation of China (Grant Nos. 10874174 and 10947017/A05) and the President Foundation of Chinese Academy of Science.
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Jiang, Nq., Fan, Hy., Wang, S. et al. Virial Theorem for Angular Displacement and Torque. Int J Theor Phys 50, 3610–3615 (2011). https://doi.org/10.1007/s10773-011-0868-x
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DOI: https://doi.org/10.1007/s10773-011-0868-x