Complex integrals for 3-dimensional non-hermitian Hamiltonian systems

摘要

With a view to obtain further insight into the theoretical understanding of complex potentials, we here investigated the dynamical invariants for time-independent (TID) complex Hamiltonian systems in three dimensions by invoking the elegante extended complex phase space approach (ECPSA) characterized by x = x(1) + ip(4), y = x(2) + ip(5), z = x(3) + ip(6), p(x) = p(1) + ix(4), p y = p(2) + ix(5) and p(z) = p(3) + ix(6). We make use of rationalization method for this purpose and the invariants so obtained are expected to play an important role in studying the non-hermitian Hamiltonian systems. (C) 2017 The Physical Society of the Republic of China (Taiwan). Published by Elsevier B.V. All rights reserved.