Weak gravitational quantum effects in boson particles
arXiv:1902.01504 · doi:10.1007/s10714-021-02810-6
Abstract
We rewrite the Klein-Gordon (KG) equation in an arbitrary space-time transforming it into a generalized Schrödinger equation. Then we take the weak field limit and show that this equation has some differences with the traditional Schrödinger equation plus a gravitational field. Thus, this procedure shows that the Schrödinger equation derived in a covariant manner is different from the traditional one. With this new Schrödinger equation, we study the KG equation in a Newtonian space-time to describe the behavior of a scalar particle in an inertial system. We give some examples where it is possible to study the energy levels, effective potential and the wave function of the systems, these results contain the gravitational effects due to the curvature of space-time. We show that it is possible to verify experimentally these effects in a laboratory using non-inertial reference frames.
arXiv comment19 pages
References in corpus (11)
- The Confrontation between General Relativity and Experiment
- String Theory Dynamics In Various Dimensions
- Ultralight scalars as cosmological dark matter
- Loop Quantum Cosmology: A Status Report
- Black Holes at the LHC
- A Spin Entanglement Witness for Quantum Gravity
- A Further Analysis of a Cosmological Model of Quintessence and Scalar Dark Matter
- Scalar Fields as Dark Matter in Spiral Galaxies
- Platform for measurements of the Casimir force between two superconductors
- Quantum harmonic oscillator state synthesis and analysis
- Klein-Gordon equation in curved space-time