A gauge-invariant Wigner quantum mechanical theory is obtained by applying the Weyl-Stratonovich transform to von Neumann equation for density matrix. The reduces Weyl in electrostatic limit, when vector potential and thus magnetic field are zero. Both cases involve a center-of-mass followed Fourier integral on relative coordinate introducing momentum variable. latter continuous if limits of in...

Using techniques of supersymmetric gauge theories, we present the Ricci-flat metrics on non-compact Kähler manifolds whose conical singularity is repaired by the Hermitian symmetric space. These manifolds can be identified as the complex line bundles over the Hermitian symmetric spaces. Each of the metrics contains a resolution parameter which controls the size of these base manifolds, and the ...