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Undergraduate lecture notes in physics

Introducing Relativity in Quantum Mechanics

Luis Grave de Peralta, Maricela Fernández Lozada, Hira Farooq, Gage Eichman, Abhishek Kumar Singh, Gabrielle Prime

Published Jan 1, 2023• 0 citations
Publisher
DOI
10.1007/978-3-031-37073-1_3

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The principle of relativity is extended to accommodate finite-mass observers with quantum properties by introducing two operational requirements: (i) equivalence of observers at the level of transition amplitudes, and (ii) the impossibility for an observer to access its own quantum state of motion. This results in a fully relative formulation of quantum mechanics with observer-dependent Hilbert spaces, relative quantization rules, and novel uncertainty relations, while also elucidating some interpretational issues present in the current formulation of quantum mechanics and giving experimentally testable signatures.
We consider effect of Einstein, Podolsky, Rosen in connection with quantum mechanic and relative theory. We sow that may introduce in quantum mechanic the individual state for quantum particle which eliminate the contradiction quantum mechanics with relative theory of type long-range action between correlated particles. In article we develop the apparatus for individual state introducing in quantum mechanic formalism and build the EPR effect model without contradictory. We describe the general mechanism of Bell inequalities infringement and analogical effects.