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The fermion- antifermion operators generate a unitary Lie algebra, whose representations are fixed by a first order Casimir operator (corresponding to baryon number or
For the generalized DS equations, we showed that the KMV symmetry algebra can be present only if the conditions ( 21 ), under which the symmetry algebra is isomorphic to that of
The relaxation of inner-shell ionized atom via successive Auger, Coster–Kronig and radiative transitions leads to production of highly charged ions.. In the course of
Using the pseudoperturbative treatment of 2BDE with different combinations of potentials ( 37 )–( 45 ) we obtain analytical expressions for meson mass spectra and estimate a role
Representations of quantum groups and realizations of q - oscillators are closely related to basic hypergeometric functions and q -orthogonal polynomials.. Instead of Jacobi,
Department of Mathematical Sciences, University of Wisconsin-Milwaukee, P. Classical ellipsoidal and sphero-conal harmonics are polynomial solutions of the Laplace equation that can
[16] Atoyan A., Patera J., Properties of continuous Fourier extension of the discrete cosine transform and its multidimensional generalization, J. [21] Humphreys J., Introduction to
Recall that in the general classification problem, once the quasi-exactly solvable Lie algebras of differential operators g are determined, the next step is to construct second
