Volume 121, Number 1, January 2018
|Number of page(s)||5|
|Published online||09 March 2018|
A novel connection between scalar field theories and quantum mechanics
Departamento de Física, Universidade Federal da Paraíba - 58051-970 João Pessoa, PB, Brazil
Received: 12 January 2018
Accepted: 23 February 2018
This work deals with scalar field theories and supersymmetric quantum mechanics. The investigation is inspired by a recent result, which shows how to use the reconstruction mechanism to describe two distinct field theories from the very same quantum mechanics potential, and by an older work, which describes the deformation procedure that offers an interesting way to generate and solve new scalar field theories, starting from a given model of current interest. We use the procedure to unveil a new route, from which one can describe families of scalar field theories that engender the very same quantum mechanics potential. The approach can be applied algorithmically, and implemented to generate models that give rise to distinct quantum mechanics systems as well.
PACS: 03.50.-z – Classical field theories / 03.65.-w – Quantum mechanics
© EPLA, 2018
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