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Higher-order SUSY, linearized nonlinear Heisenberg algebras and coherent states
Using an iterative construction of the first-order intertwining technique, we find k-parametric families of exactly solvable anharmonic oscillators whose spectra consist of a part isospectral to the…
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Group invariant solutions for the N=2 super Korteweg–de Vries equation
The method of symmetry reduction is used to solve Grassmann-valued differential equations. The (N=2) supersymmetric Korteweg–de Vries equation is considered. It admits a Lie superalgebra of…
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Superposition formulas for nonlinear superequations
Nonlinear superequations, for which the general solution can be expressed algebraically in terms of a finite number of particular solutions, are obtained. They are based on the orthosymplectic…
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Generalized and Gaussian coherent states for the Morse potential
In this paper, we consider the one-dimensional anharmonic oscillator, which represents well the anharmonic vibrations in diatomic molecules. For the description of the associate potential we use the…
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Constant curvature solutions of Grassmannian sigma models: (2) Non-holomorphic solutions
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Susy CPN−1 model and surfaces in
We describe surfaces in generated by the holomorphic solutions of the supersymmetric CPN−1 model. We show that these surfaces are described by the fundamental projector constructed out of the…
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Canonical surfaces associated with projectors in grassmannian sigma models
We discuss the construction of higher-dimensional surfaces based on the harmonic maps of $S^2$ into $CP^{N-1}$ and other grassmannians. We show that there are two ways of implementing this procedure…
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Nonlinear differential equations and lie superalgebras
It is shown how the theory of nonlinear ordinary differential equations with superposition formulas can be generalized to the case of ‘superequations’ involving anticommuting Grassmann variables. As…
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Nonclassicality versus entanglement in a noncommutative space
Nonclassicality is an interesting property of light having applications in many different contexts of quantum optics, quantum information and computation. Nonclassical states produce substantial…
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Coherent states for isospectral oscillator Hamiltonians
Coherent states for a family of isospectral oscillator Hamiltonians are derived from a suitable choice of annihilation and creation operators. The Fock-Bargmann representation is also considered.
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