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How Quantum Mechanics and General Relativity Can Be Brought Together
Department of Safety & Security, Optical Quantum Technologies, AIT Austrian Institute of Technology GmbH, Vienna, Austria
- 1 Department of Safety & Security, Optical Quantum Technologies, AIT Austrian Institute of Technology GmbH, Vienna, Austria
Journal of Modern Physics·Volume 07 (2016)·Pages 523–527·Published 17 March 2016·DOI10.4236/jmp.2016.76054
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Abstract
This paper describes an easy and teaching way how quantum mechanics (QM) and general relativity (GR) can be brought together. The method consists of formulating Schrödinger’s equation of a free quantum wave of a massive particle in curved space-time of GR using the Schwarzschild metric. The result is a Schrödinger equation of the particle which is automatically subjected to Newtons’s gravitational potential.
KeywordsQuantum MechanicsSchrödinger EquationGeneral RelativityNewton’s Gravitational PotentialCurved Space-TimeSchwarzschild MetricNon-Euclidian Geometry
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