A no-go result for the quantum damped harmonic oscillator

被引：10
|
作者：
Bagarello, F. [1 ,2 ]
Gargano, F. [1 ]
Roccati, F. [3 ]
机构：
[1] Univ Palermo, Dipartimento Ingn, Viale Sci, I-90128 Palermo, Italy
[2] INFN, Sez Napoli, Naples, Italy
[3] Univ Palermo, Dipartimento Fis & Chim Emilio Segre, Via Archirafi 36, I-90123 Palermo, Italy
来源：
PHYSICS LETTERS A | 2019年 / 383卷 / 24期
关键词：
Pseudo-bosons; Quantum damped harmonic oscillator;
D O I：
10.1016/j.physleta.2019.06.022
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this letter we show that it is not possible to set up a canonical quantization for the damped harmonic oscillator using the Bateman Lagrangian. In particular, we prove that no square integrable vacuum exists for the natural ladder operators of the system, and that the only vacua can be found as distributions. This implies that the procedure proposed by some authors is only formally correct, and requires a much deeper analysis to be made rigorous. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码：2836 / 2838
页数：3
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