Complex dynamical invariants for two-dimensional complex potentials |
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| Authors: | J S VIRDI F CHAND C N KUMAR S C MISHRA |
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| Institution: | 1. Department of Physics, Punjab University, Chandigarh, 160 014, India
2. Department of Physics, Kurukshetra University, Kurukshetra, 136 119, India
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| Abstract: | Complex dynamical invariants are searched out for two-dimensional complex potentials using rationalization method within the framework of an extended complex phase space characterized by x?=?x 1?+?i p 3,?y?=?x 2?+?i p 4, ?p x ?=?p 1?+?i x 3, ?p y ?=?p 2?+?i x 4. It is found that the cubic oscillator and shifted harmonic oscillator admit quadratic complex invariants. The obtained invariants may be useful for studying non-Hermitian Hamiltonian systems. |
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