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Inversion of hyperelliptic integrals of arbitrary genus with application to particle motion in General Relativity
Inversion of hyperelliptic integrals arbitrary genus application particle motion General Relativity
2010/12/20
The description of many dynamical problems like the particle motion in higher dimensional
spherically and axially symmetric space-times is reduced to the inversion of a holomorphic hyperelliptic inte...
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...