title: Analyzing generalized coherent states for a free particle.
abstract: Despite the didactic importance of a free particle in quantum mechanics, its coherent state analysis has long been untouched. It is only recently that it has been noticed and studied in the semiclassical domain. While the previously known solutions, reported by Bagrov et al. for a free particle, are described using the linear non-Hermitian invariant operator, we show in this work that the general solution of the Schrödinger equation can also be naturally derived using a simpler method based on an Hermitian linear invariant operator. According to this, an exact Gaussian wave function that corresponds to a coherent state solution is obtained. An interpretation for such general quantum solution designated within the Lewis-Riesenfeld framework is provided and, further, quantum-classical correspondence principle for the system is reexamined.
authors: Laboratoire de Physique Quantique et Systèmes Dynamiques, Faculté des Sciences, Université Ferhat Abbas Sétif 1 Sétif 19000, Algeria.
authors: Mustapha
authors: M
authors: Maamache
authors: Laboratoire de Physique Quantique et Systèmes Dynamiques, Faculté des Sciences, Université Ferhat Abbas Sétif 1 Sétif 19000, Algeria.|Faculté des Sciences Exactes, Université des Frères Mentouri, Constantine, Route d'Ain El Bey, Constantine, Algeria.
authors: Abderrezak
authors: A
authors: Khatir
authors: Laboratoire de Physique Quantique et Systèmes Dynamiques, Faculté des Sciences, Université Ferhat Abbas Sétif 1 Sétif 19000, Algeria.
authors: Halim
authors: H
authors: Lakehal
authors: Department of Radiologic Technology, Daegu Health College, Yeongsong-ro 15, Buk-gu, Daegu 41453, Republic of Korea.
authors: Jeong Ryeol
authors: JR
authors: Choi