Higher order polynomial complex invariants for one-dimensional anharmonic potentials

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Reports on Mathematical Physics Pub Date : 2024-02-01 DOI:10.1016/S0034-4877(24)00011-9

S.B. Bhardwaj, Ram Mehar Singh, Vipin Kumar, Narender Kumar, Fakir Chand, Shalini Gupta

引用次数: 0

Abstract

Exact quadratic in momenta complex invariants are investigated for both time independent and time dependent one-dimensional Hamiltonian systems possessing higher order nonlinearities within the framework of the rationalization method. The extended complex phase space approach is utilized to map a real system into complex space. Such invariants are expected to play a role in the analysis of complex trajectories and help to understand some new phenomena associated with complex potentials.

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一维非谐波势的高阶多项式复不变式

在合理化方法的框架内，研究了具有高阶非线性的独立于时间和依赖于时间的一维哈密顿系统的精确二次矩复不变式。利用扩展复相空间方法将实数系统映射到复数空间。这种不变量有望在复杂轨迹分析中发挥作用，并有助于理解与复杂势相关的一些新现象。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Reports on Mathematical Physics 物理-物理：数学物理

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Reports on Mathematical Physics publish papers in theoretical physics which present a rigorous mathematical approach to problems of quantum and classical mechanics and field theories, relativity and gravitation, statistical physics, thermodynamics, mathematical foundations of physical theories, etc. Preferred are papers using modern methods of functional analysis, probability theory, differential geometry, algebra and mathematical logic. Papers without direct connection with physics will not be accepted. Manuscripts should be concise, but possibly complete in presentation and discussion, to be comprehensible not only for mathematicians, but also for mathematically oriented theoretical physicists. All papers should describe original work and be written in English.