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Open Quantum Systems Decoherence

Square-well potential in quaternic quantum mechanics

arXiv
Authors: Sergio Giardino

Year

2020

Paper ID

20628

Status

Preprint

Abstract Read

~2 min

Abstract Words

58

Citations

N/A

Abstract

The one-dimensional infinite square well is the simplest solution of quantum mechanics, and consequently one of the most important. In this article, we provide this solution using the real Hilbert space approach to quaternic quantum mechanics $mathbbm{H}$QM. We further provide the one-dimensional finite as well and a method to generate quaternic solutions from non-degenerate complex solutions.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2020 reference point for readers tracking recent quantum research.
  • The one-dimensional infinite square well is the simplest solution of quantum mechanics, and consequently one of the most important.

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