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arXiv · 1707.00636

Short distance modification of the quantum virial theorem

Qin Zhao·Mir Faizal·Zaid Zaz
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Abstract

In this letter, we will analyse the deformation of a semi-classical gravitational system from minimal measurable length scale. In the semi-classical approximation, the gravitational field will be analysed as a classical field, and the matter fields will be treated quantum mechanically. Thus, using this approximation, this system will be represented by a deformation of Schrödinger-Newton equation by the generalised uncertainty principle (GUP). We will analyse the effects of this GUP deformed Schrödinger-Newton equation on the behaviour of such a semi-classical gravitational system. As the quantum mechanical virial theorem can be obtained using the Schrödinger-Newton equation, a short distance modification of the Schrödinger-Newton equation will also result in a short distance modification of the quantum mechanical virial theorem.

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Qin Zhao, Mir Faizal, Zaid Zaz. 2017-05-19. Short distance modification of the quantum virial theorem. https://doi.org/10.1016/j.physletb.2017.01.029

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