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Effective Long-Range Interactions in Confined Curved Dimensions
Effective Long-Range Interactions Confined Curved Dimensions Quantum Gases
2011/8/4
Abstract: We explore the effective long-range interaction of charged particles confined to a curved low-dimensional manifold using the example of a helical geometry. Opposite to the Coulomb interactio...
Generalized quantum isotonic nonlinear oscillator in d dimensions
Generalized quantum isotonic nonlinear oscillator d dimensions
2010/11/9
We present a supersymmetric analysis for the d-dimensional Schroedinger equation with the generalized isotonic nonlinear-oscillator potential V(r)={B^2}/{r^{2}}+\omega^{2} r^{2}+2g{(r^{2}-a^{2})}/{(r^...
Singular inverse square potential in arbitrary dimensions with a minimal length: Application to the motion of a dipole in a cosmic string background
Singular inverse square potential arbitrary dimensions minimal length: Application to the motion dipole cosmic string background
2010/10/18
We solve analytically the Schr¨odinger equation for the N-dimensional inverse square potential
in quantum mechanics with a minimal length in terms of Heun’s functions. We apply our results
to the pr...
On the Quantum Query Complexity of Local Search in Two and Three Dimensions
Quantum Query Complexity Two and Three Dimensions
2012/11/29
The quantum query complexity of searching for local optima has been a subject of much interest in the recent literature.For the d-dimensional grid graphs, the complexity has been determined asymptotic...
Higher Derivative Quantum Gravity Near Four Dimensions
Higher Derivative Quantum Gravity Four Dimensions
2010/10/18
We investigate the role of the Gauss-Bonnet term for the n = 4 and n = 4¡e renormalization group, for both conformal and general versions of the theory. The cancellation of the quantum effects o...