Wake Forest College: The Undergraduate College of Arts & Scienceshttp://hdl.handle.net/10339/259602014-08-01T01:40:26Z2014-08-01T01:40:26Z“I HAVE A DREAM”: THE WORK OF A LIFETIMEFaust, SusanLlewellyn, Johnhttp://hdl.handle.net/10339/393552014-07-30T20:02:33Z2014-07-30T00:00:00Z“I HAVE A DREAM”: THE WORK OF A LIFETIME
Faust, Susan; Llewellyn, John
2014-07-30T00:00:00ZElectron spin and probability current density in quantum mechanicsHodge, W. B.Migirditch, S. V.Kerr, William C.http://hdl.handle.net/10339/393522014-07-30T16:09:33Z2014-01-01T00:00:00ZElectron 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.
2014-01-01T00:00:00ZSchwarzschildBates, Jason D.http://hdl.handle.net/10339/391492014-01-21T20:44:27Z2012-01-01T00:00:00ZSchwarzschild
Bates, Jason D.
Mathematica programs which allow for the computation of an approximation to the noise kernel in Schwarzschild spacetime
2012-01-01T00:00:00ZTab DS for MathematicaAnderson, Paul R.Hiscock, William A.Samuel, David A.http://hdl.handle.net/10339/391482014-01-16T18:51:21Z1995-01-01T00:00:00ZTab 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.
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1995-01-01T00:00:00Z