With the increase in coverage area of magnetotelluric data, three-dimensional modeling spherical coordinates and its differences with respect to traditional Cartesian have gradually attracted attention. To fully understand influence Earth’s curvature map projection deformations on modeling, qualitative quantitative analyses based realistic models need be examined. Combined five representative p...

The problem of three different masses bound by harmonic oscillator potentials is solved exactly. It is shown that Jacobi coordinates cannot, in general, decouple this system into two three-dimensional oscillators but this decoupling can always be obtained in terms of the normal coordinates. The condition for the decoupling in Jacobi coordinates is given. It is shown that the mean distance betwe...

We consider a deformation of N=1 four dimensional Minkowski superspace where odd coordinates θ do not anticommute. We define supersymmetric and associative star product and show how the remaining (anti)commutation relations among the superspace coordinates are modified. In particular, the even coordinates do not commute as well. We also study chiral and vector superfields and their interactions...