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
收藏
页码：71 / 86
页数：16
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