Complex integrals for 3-dimensional non-hermitian Hamiltonian systems

•Under the elegance of ECPS approach, rationalization method is described.•Complex invariants are constructed for complex cubic potential and its variant.•Invariants obtained may play a vital role in studying non-hermitian Hamiltonian systems.•Degree of complexity can be reduced by imposing some res...

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Bibliographic Details
Published in:Chinese journal of physics (Taipei) 2017-08, Vol.55 (4), p.1170-1180
Main Authors: Bhardwaj, S.B., Singh, Ram Mehar, Sharma, Kushal, Rani, Richa, Chand, Fakir
Format: Article
Language:English
Subjects:
Complex invariants
Non-hermitian Hamiltonian
Rationalization method
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Summary:•Under the elegance of ECPS approach, rationalization method is described.•Complex invariants are constructed for complex cubic potential and its variant.•Invariants obtained may play a vital role in studying non-hermitian Hamiltonian systems.•Degree of complexity can be reduced by imposing some restrictions on arbitrary coefficients. 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=x1+ip4,y=x2+ip5,z=x3+ip6,px=p1+ix4,py=p2+ix5 and pz=p3+ix6. 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.
ISSN:0577-9073
DOI:10.1016/j.cjph.2017.05.025