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Titlebook: Symmetries in Science IX; Bruno Gruber,Michael Ramek Book 1997 Springer Science+Business Media New York 1997 algebra.fields.mechanics.quan

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Algebraic Model of an Oblate Top,In particular, in spectroscopic studies algebraic methods are very useful to study the symmetries and selection rules, to classify the basis states, and to calculate matrix elements. An exactly solvable model that is of special interest is the symmetric top. As an example, we mention a study by Bohm
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Multichannel Dynamic Symmetry,he group, i.e. it can depend on the generators only through the Casimir invariants of the group. If both the potential and the total energy is invariant, the symmetry is called geometric, contrary to the dynamic symmetry which leaves invariant only the total energy [1]. Well-known examples are the .
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Kazhdan-Lusztig Polynomials, Subsingular Vectors and Conditionally Invariant (q-Deformed) Equationsa modules. In particular, were considered the singular vectors of Verma modules of: the Virasoro algebra [3–7] the super-Virasoro algebras with . = 1 [8], . = 2 [9, 10] Kac-Moody algebras [11-13] quantum groups [14, 15] W-algebras [16,17] of Fock modules of the Virasoro algebra [18]. The physical ap
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On a Path to Nonlinear Quantum Mechanics,n a smooth (finite dimensional) space-manifold . moving (non-relativistically) with time .; the physical space-time is . x R.. The following building blocks are modeled on a separable Hilbert space . chosen as ..(.) with elements depending on .: (1) Observables — for fixed . — are given by elements
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