Electronic stress tensor of chemical bond

Abstract

Electronic stress tensor of chemical bond <img src='http://www.niscair.res.in/jinfo/tow1.gif' border=0> is a 3-dim real symmetric component of a 3-dim real stress tensor <img src='http://www.niscair.res.in/jinfo/tow2.gif' border=0>. The complementary antisymmetric component <img src='http://www.niscair.res.in/jinfo/tow3.gif' border=0>=<img src='http://www.niscair.res.in/jinfo/tow2.gif' border=0>-<img src='http://www.niscair.res.in/jinfo/tow1.gif' border=0> drives the torque of electron spin _{<img src='http://www.niscair.res.in/jinfo/tow4.gif' border=0>} through the vorticity rot_{<img src='http://www.niscair.res.in/jinfo/tow4.gif' border=0>}. The whole picture has quite recently been unified on the variation principle of gravity using the semiclassical action integral. This theory is extended in this paper using a quantum action integral based on a simple SUGRA (supergravity), which is a simple SUSY (supersymmetry) model of gravity.