On the Lewis-Riesenfeld (Dodonov-Man'ko) invariant method

Autor:	Guerrero, Julio, López-Ruiz, Francisco F.
Rok vydání:	2015
Předmět:	Quantum Physics Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	We revise the Lewis-Riesenfeld invariant method for solving the quantum time-dependent harmonic oscillator in light of the Quantum Arnold Transformation previously introduced and its recent generalization to the Quantum Arnold-Ermakov-Pinney Transformation. We prove that both methods are equivalent and show the advantages of the Quantum Arnold-Ermakov-Pinney transformation over the Lewis-Riesenfeld invariant method. We show that, in the quantum time-dependent and damped harmonic oscillator, the invariant proposed by Dodonov & Man'ko is more suitable and provide some examples to illustrate it, focusing on the damped case. Comment: 19 pages. Accepted for publication in Physica Scripta
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1503.01371 Zobrazit plný text záznamu View this record from Arxiv