ar X iv : h ep - t h / 95 07 12 5 v 1 2 4 Ju l 1 99 5 Aspects of Classical and Quantum Nambu Mechanics

ar X iv : h ep - t h / 96 07 12 2 v 1 1 5 Ju l 1 99 6 Classical and quantum N = 1 super W ∞ - algebras

We construct higher-spin N=1 super algebras as extensions of the super Virasoro algebra containing generators for all spins s ≥ 3/2. We find two distinct classical (Poisson) algebras on the phase super space. Our results indicate that only one of them can be consistently quantized.

ar X iv : h ep - t h / 95 07 17 2 v 1 3 1 Ju l 1 99 5 Quantum Corrections to the Semiclassical Quantization of the SU ( 3 ) Shell Model

ar X iv : h ep - t h / 95 07 11 6 v 1 2 1 Ju l 1 99 5 A q - deformation of the Coulomb Problem

The algebra of observables of SOq(3)-symmetric quantum mechanics is extended to include the inverse 1 R of the radial coordinate and used to obtain eigenvalues and eigenfunctions of a q-deformed Coulomb Hamiltonian. Supported by an NSF fellowship; e-mail [email protected] Supported in part by NSF grant PHY-91-23780; e-mail [email protected]

ar X iv : h ep - t h / 95 07 13 4 v 1 2 5 Ju l 1 99 5 Time - dependent quantum scattering in 2 + 1 dimensional gravity ∗

The propagation of a localized wave packet in the conical space-time created by a pointlike massive source in 2+1 dimensional gravity is analyzed. The scattering amplitude is determined and shown to be finite along the classical scattering directions due to interference between the scattered and the transmitted wave functions. The analogy with diffraction theory is emphasized. CTP # 2451 July 1...

ar X iv : h ep - t h / 95 07 12 3 v 1 2 4 Ju l 1 99 5 May 1995 Simple Construction of Elliptic Boundary K - matrix ¶

We give the infinite-dimensional representation for the elliptic K-operator satisfying the boundary Yang-Baxter equation. By restricting the functional space to finite-dimensional space, we construct the elliptic K-matrix associated to Belavin's completely Z-symmetric R-matrix.