Equivalence between Quantum Mechanics and PT Symmetric Quantum Mechanics
David Girardelli, Eduardo M. Zavanin, Marcelo M. Guzzo
TL;DR
This paper explores PT Symmetric Quantum Mechanics, comparing it with standard quantum mechanics through a two-body system and the Quantum Brachistochrone problem, concluding no new effects are revealed by the PT symmetric approach.
Contribution
It provides a detailed comparison between PT Symmetric Quantum Mechanics and standard quantum mechanics using a simple two-body system.
Findings
No new effects found with PT Symmetric Quantum Mechanics
Results align with standard quantum mechanics
PT approach does not offer additional insights in this case
Abstract
In this paper we develop a discussion about PT Symmetric Quantum Mechanics, working with basics elements of this theory. In a simple case of two body system, we developed the Quantum Brachistochrone problem. Comparing the results obtained through the PT Symmetric Quantum Mechanics with that ones obtained using the standard formalism, we conclude that this new approach is not able to reveal any new effect.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics