Complex invariants for some time-independent and time-dependent classical systems. Issue 3 (December 2021)

• Record Type: Journal Article
• Authors: Kumar, Narender; Bhardwaj, S.B.; Bhardwaj, Dinesh; Singh, Ram Mehar; Chand, Fakir
• Is Part Of: Reports on mathematical physics. Volume 88:Issue 3(2021)
• Page Start: 399
• Page End: 418
• Publication Date: 2021-12
• Subjects: 02.30.IK; complex invariants -- rationalization method -- PT-symmetric Hamiltonian -- ECPS approach; Mathematical physics -- Periodicals; Physique mathématique -- Périodiques; 530.15
• DOI: 10.1016/S0034-4877(21)00088-4
• Languages: English
• ISSNs: 0034-4877

Abstract

Abstract : We present a construction of quadratic, cubic and quartic complex invariants for one-dimensional time-independent and time-dependent classical systems within the framework of rationalization method. The concerned Hamiltonians are scaled on an extended complex phase space characterized by x = x 1 + ip 2, p = P 1 + ix 2 . The results of this work may be potent for understanding complex trajectories of both classical and quantum systems.