Acta Scientific Applied Physics

Review Article Volume 3 Issue 3

Hamiltonians that Generate Coherent States as their Ground States

A Plastino1,2*

1Departamento de F´ısica, Universidad Nacional de La Plata, Argentina
2Argentina’s IFLP-CCT-Conicet-Consejo Nacional de Investigaciones Cient´ıficas y Tecnol´ogicas, Argentina

*Corresponding Author: A Plastino, Departamento de F´ısica, Universidad Nacional de La Plata, Argentina.

Received: January 10, 2023; Published: February 06, 2023


We uncover which is the Hamiltonian that has a coherent state as its ground state. Thus, we explain here how coherent states (CS) become eigenfunctions of a displaced quadratic potential V (x) that depends on the CS amplitude α. For each amplitude we have a different V (x). The associated ground state is a coherent state.

Keywords: Coherent States; Exact Analytic Form; Potential Function


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Citation: A Plastino. “Hamiltonians that Generate Coherent States as their Ground States". Acta Scientific Applied Physics 3.3 (2023): 22-24.


Copyright: © 2023 A Plastino. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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