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- J. Solomon Ivan, M. Sanjay Kumar, R. Simon
- Quantum Information Processing
- 2012

We show that for the strictly isospectral Hamiltonians, the corresponding coherent states are related by a unitary transformation. As an illustration, we discuss, the example of strictly isospectral one-dimensional harmonic oscillator Hamiltonians and the associated coherent states. PACS number(s) : 03.65.Fd, 02.30.+b Electronic Address : msku@iopb.ernet.in… (More)

We demonstrate a formally exact quantum-classical correspondence between the stationary coherent states associated with the commensurate anisotropic two-dimensional harmonic oscillator and the classical Lissajous orbits. Our derivation draws upon earlier work of Louck et al [1973 J. Math. Phys. 14 692] wherein they have provided a non-bijective canonical… (More)

A graph is unichord free if it does not contain a cycle with exactly one chord as its subgraph. In [3], it is shown that a graph is unichord free if and only if every minimal vertex separator is a stable set. In this paper, we first show that such a graph can be recognized in polynomial time. Further, we show that the chromatic number of unichord free… (More)

We demonstrate a formally exact quantum-classical correspondence between the stationary coherent states associated with the commensurate anisotropic two-dimensional harmonic oscillator and the classical Lissajous orbits. Our derivation draws upon earlier work of Louck et al [1973 J. Math. Phys. 14 692] wherein they have provided a non-bijective canonical… (More)

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