HIGHER ORDER POLYNOMIAL COMPLEX INVARIANTS FOR ONE-DIMENSIONAL ANHARMONIC POTENTIALS

被引：1

作者：

Bhardwaj, S. B. ^{[1
]}

Singh, Ram mehar ^{[2
]}

Kumar, Vipin ^{[2
]}

Kumar, Narender ^{[3
]}

Chand, Fakir ^{[4
]}

Gupta, Shalini ^{[5
]}

机构：

[1] SUS Govt Coll, Dept Phys, Matak Majri, Karnal 132041, India

[2] Chaudhary Devi Lal Univ, Dept Phys, Sirsa 125055, India

[3] Govt Coll, Dept Phys, Jind 126102, India

[4] Kurukshetra Univ, Dept Phys, Kurukshetra 136119, India

[5] HMR Inst Technol & Management, Dept Phys, Delhi, India

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2024年 / 93卷 / 01期

关键词：

exact invariants; complex Hamiltonian; rationalization method; extended complex phase space approach; DEPENDENT HARMONIC-OSCILLATOR; SCHRODINGER-EQUATION; DYNAMICAL INVARIANT; QUANTUM-SYSTEMS; CONSTRUCTION; STABILITY; MOTION;

D O I：

10.1016/S0034-4877(24)00011-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：71 / 86

页数：16

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