Volume 132, Number 2, October 2020
|Number of page(s)||6|
|Published online||23 December 2020|
Square-well potential in quaternionic quantum mechanics
Departamento de Matemática Pura e Aplicada, Universidade Federal do Rio Grande do Sul (UFRGS) Avenida Bento Gonçalves 9500, Caixa Postal 15080, 91501-970 Porto Alegre, RS, Brazil
Received: 31 May 2020
Accepted: 16 September 2020
The one-dimensional infinite square well is the simplest solution of quantum mechanics, and consequently one of the most important. In this paper, we provide this solution using the real Hilbert space approach to quaternionic quantum mechanics (?QM). We further provide the one-dimensional finite as well and a method to generate quaternionic solutions from non-degenerate complex solutions.
PACS: 03.65.-w – Quantum mechanics / 03.65.Ge – Solutions of wave equations: bound states / 03.65.Fd – Algebraic methods
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