sigma09-088. 232KB Jun 04 2011 12:10:32 AM
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type Jackson integral (q-series) satisfies, as first order simultaneous q-difference equations with a concrete basis. As an application, we give a simple proof for the
The algebraic approach to the solution of the model is presented in Section 3 , in this section the stationary states are expressed through the state vectors of the model and the
In particular we obtain exact solutions of a non-Hermitian displaced harmonic oscillator and the Swanson model with minimal length uncertainty.. The spectrum in both the cases are
New exactly solvable rationally-extended radial oscillator and Scarf I potentials are generated by using a constructive supersymmetric quantum mechanical method based on
The third Hilbert space H (P) emerges, quite naturally, as a space which is unitarily equivalent to H (S) (i.e., it represents strictly the same physics so that for the purposes
We first explain in Section 2 the basic ideas of this paper, namely, the idea of that the factorization conditions may be expressed by a single associativity condition, the
Since for a differential equation with an involutive symbol the obstructions to involution va- nish and for an involutive differential equation the integrability conditions vanish,
We derive a precise link between series expansions of Gaussian random vectors in a Banach space and Parseval frames in their reproducing kernel Hilbert space.. The results are