Short distance modification of the quantum virial theorem
arXiv:1707.00636 · doi:10.1016/j.physletb.2017.01.029
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.
16 pages
References in corpus (22)
- Quantum Gravity at a Lifshitz Point
- Ultralight scalars as cosmological dark matter
- Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
- Membranes at Quantum Criticality
- Universality of Quantum Gravity Corrections
- Discreteness of Space from the Generalized Uncertainty Principle
- Avoiding Dark Energy with 1/R Modifications of Gravity
- Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism
- Introduction to Effective Field Theory
- The Lee-Wick Standard Model
- The Generalized Uncertainty Principle in (A)dS Space and the Modification of Hawking Temperature from the Minimal Length
- Natural extension of the Generalised Uncertainty Principle
- The Schrödinger-Newton equation as non-relativistic limit of self-gravitating Klein-Gordon and Dirac fields
- A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum II: Applications
- On the modification of Hamiltonians' spectrum in gravitational quantum mechanics
- Neutrino Masses in the Lee-Wick Standard Model
- The Most General Form of Deformation of the Heisenberg Algebra from the Generalized Uncertainty Principle
- Generalized Uncertainty Principle as a Consequence of the Effective Field Theory
- A Superspace Formulation of The BV Action for Higher Derivative Theories
- Tackling Higher Derivative Ghosts with the Euclidean Path Integral
- The Schrödinger-Newton equations beyond Newton
- Variational approach to the time-dependent Schrödinger-Newton equations