非稳态 SQM/IST 对应和线上 CPT/PT 不变的成对哈密顿子

IF 3.5 4区 物理与天体物理 Q1 Physics and Astronomy
V P Berezovoj, A J Nurmagambetov
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引用次数: 0

摘要

我们将超对称量子力学与反向散射变换之间的对应关系扩展到成对静止和非静止哈密顿的情况,从而填补了其中存在的一些空白。我们提出了与这种情况相对应的 Goursat 问题,并明确构建了非局部反向散射变换的内核,从而解决了这个问题。因此,我们找到了从最初的全息哈密顿中构造非全息哈密顿的方法,这导致在两种势的实值谱情况下,${cal CPT/PT}$不变哈密顿的配对。我们的建议与量子光学和光波导技术,以及非线性动力学和黑洞物理学的相关性将被简要讨论。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Non-stationary SQM/IST correspondence and CPT/PT-invariant paired hamiltonians on the line
We fill some of existed gaps in the correspondence between Supersymmetric Quantum Mechanics and the Inverse Scattering Transform by extending the consideration to the case of paired stationary and non-stationary Hamiltonians. We formulate the corresponding to the case Goursat problem and explicitly construct the kernel of the non-local Inverse Scattering Transform, which solves it. As a result, we find the way of constructing non-hermitian Hamiltonians from the initially hermitian ones, that leads, in the case of real-valued spectra of both potentials, to pairing of ${\cal CPT/PT}$-invariant Hamiltonians. The relevance of our proposal to Quantum Optics and optical waveguides technology, as well as to non-linear dynamics and Black Hole Physics is briefly discussed.
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来源期刊
Progress of Theoretical and Experimental Physics
Progress of Theoretical and Experimental Physics PHYSICS, MULTIDISCIPLINARY-PHYSICS, PARTICLES & FIELDS
CiteScore
12.00
自引率
5.70%
发文量
148
审稿时长
17 weeks
期刊介绍: Progress of Theoretical and Experimental Physics (PTEP) is an international journal that publishes articles on theoretical and experimental physics. PTEP is a fully open access, online-only journal published by the Physical Society of Japan. PTEP is the successor to Progress of Theoretical Physics (PTP), which terminated in December 2012 and merged into PTEP in January 2013. PTP was founded in 1946 by Hideki Yukawa, the first Japanese Nobel Laureate. PTEP, the successor journal to PTP, has a broader scope than that of PTP covering both theoretical and experimental physics. PTEP mainly covers areas including particles and fields, nuclear physics, astrophysics and cosmology, beam physics and instrumentation, and general and mathematical physics.
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