An alternative factorization of the quantum harmonic oscillator and two-parameter family of self-adjoint operators
An alternative factorization of the quantum harmonic oscillator and two-parameter family of self-adjoint operators
复制标题
量子谐振子的另一种因式分解和自伴算子的二参数族
DOI：
10.1016/j.physleta.2012.09.024
复制
发表时间：
2012
影响因子：
2.6
通讯作者：
H. Rosu
中科院分区：
文献类型：
--
作者：
R. Arcos;M. Reyes;H. Rosu
我们对量子谐振子的哈密顿算子进行了另一种分解，得到了一个双参数自伴随算子，由此得到了标准谐振子、Mielnik引入的单参数谐振子和Hermite算子。此外，不同于MA Reyes， HC Rosu和MR gutisamurez， Phys引入的单一伯努利型参数分解。列托人。本文最后部分简要讨论了a375(2011) 2145。
We introduce an alternative factorization of the Hamiltonian of the quantum harmonic oscillator which leads to a two-parameter self-adjoint operator from which the standard harmonic oscillator, the one-parameter oscillators introduced by Mielnik, and the Hermite operator are obtained in certain limits of the parameters. In addition, a single Bernoulli-type parameter factorization which is different of the one introduced by MA Reyes, HC Rosu, and MR Gutiérrez, Phys. Lett. A 375 (2011) 2145 is briefly discussed in the final part of this work.