Arbitrary spin Galilean oscillator

作者：Hagen C R^*

来源：Physics Letters, Section A: General, Atomic and Solid State Physics , 2015, 379(10-11): 877-881.

DOI：10.1016/j.physleta.2015.01.012

The so-called Dirac oscillator was proposed as a modification of the free Dirac equation which reproduces many of the properties of the simple harmonic oscillator but accompanied by a strong spin-orbit coupling term. It is shown here using the formalism of totally symmetric multispinors that the Dirac oscillator can be made to accommodate spin by incorporating it into the framework of Galilean relativity. This is done explicitly for spin zero and spin one as special cases of the arbitrary spin result. For the general case it is shown that the coefficient of the spin-orbit term has a 1/S behavior.

• 出版日期2015-5-8