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Complex dynamical invariants for two-dimensional complex potentials

Pramana - Journal of Physics, ISSN: 0304-4289, Vol: 79, Issue: 2, Page: 173-183
2012
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  • Citations
    9
    • Citation Indexes
      9

Article Description

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 + ip , y = x + ip , p = p + ix , p = p + ix . 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. © Indian Academy of Sciences.

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