Wake Forest College: The Undergraduate College of Arts & Sciences
http://hdl.handle.net/10339/25960
Mon, 01 Sep 2014 11:15:48 GMT2014-09-01T11:15:48Z“I HAVE A DREAM”: THE WORK OF A LIFETIME
http://hdl.handle.net/10339/39355
“I HAVE A DREAM”: THE WORK OF A LIFETIME
Faust, Susan; Llewellyn, John
Wed, 30 Jul 2014 00:00:00 GMThttp://hdl.handle.net/10339/393552014-07-30T00:00:00ZElectron spin and probability current density in quantum mechanics
http://hdl.handle.net/10339/39352
Electron spin and probability current density in quantum mechanics
Hodge, W. B.; Migirditch, S. V.; Kerr, William C.
This paper analyzes how the existence of electron spin changes the equation for the probability current density in the quantum-mechanical continuity equation. A spinful electron moving in a potential energy field experiences the spin-orbit interaction, and that additional term in the time-dependent Schrödinger equation places an additional spin-dependent term in the probability current density. Further, making an analogy with classical magnetostatics hints that there may be an additional magnetization current contribution. This contribution seems not to be derivable from a non-relativistic time-dependent Schrödinger equation, but there is a procedure described in the quantum mechanics textbook by Landau and Lifschitz to obtain it. We utilize and extend their procedure to obtain this magnetization term, which also gives a second derivation of the spin-orbit term. We conclude with an evaluation of these terms for the ground state of the hydrogen atom with spin-orbit interaction. The magnetization contribution is generally the larger one, except very near an atomic nucleus.
Wed, 01 Jan 2014 00:00:00 GMThttp://hdl.handle.net/10339/393522014-01-01T00:00:00ZSchwarzschild
http://hdl.handle.net/10339/39149
Schwarzschild
Bates, Jason D.
Mathematica programs which allow for the computation of an approximation to the noise kernel in Schwarzschild spacetime
Sun, 01 Jan 2012 00:00:00 GMThttp://hdl.handle.net/10339/391492012-01-01T00:00:00ZTab DS for Mathematica
http://hdl.handle.net/10339/39148
Tab DS for Mathematica
Anderson, Paul R.; Hiscock, William A.; Samuel, David A.
The DeWitt-Schwinger approximation for massive scalar fields in static spherically symmetric spacetimes.
This is in the form of an input file for Mathematica. We ask only that, if you use this file, you reference the appropriate paper. The appropriate reference is given as a comment in the file.
Sun, 01 Jan 1995 00:00:00 GMThttp://hdl.handle.net/10339/391481995-01-01T00:00:00Z