Coherent states of a free particle from the coherent states of the harmonic oscillator

Authors

  • J. Berra Montiel Facultad de Ciencias, UASLP

DOI:

https://doi.org/10.31349/RevMexFis.72.010702

Keywords:

Coherent sates; free particle; uncertainty relations

Abstract

We construct the coherent states of a free particle by implementing a coordinate transformation in the extended configuration space, which establishes a correspondence between the solutions of the Schrödinger equation for a harmonic oscillator and those for a free particle. Using this framework, we derive analytical expressions for the coherent states of a free particle, avoiding the complexities of non-normalizable fiducial states, integrals of motion, or group-theoretic approaches. Our method provides a systematic way to characterize these states at any instant while ensuring that they satisfy the Robertson-Schrödinger uncertainty relation.

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Published

2026-01-01

How to Cite

[1]
J. Berra Montiel, “Coherent states of a free particle from the coherent states of the harmonic oscillator”, Rev. Mex. Fís., vol. 72, no. 1 Jan-Feb, pp. 010702 1–, Jan. 2026.

Issue

Vol. 72 No. 1 Jan-Feb (2026): Revista Mexicana de Física

Section

07 Gravitation, Mathematical Physics and Field Theory

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Copyright (c) 2026 J. Berra Montiel

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