Take the 2-minute tour ×
Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. It's 100% free, no registration required.

The density matrix (or state matrix) is a generalization of a wave function that is able to describe incoherent superpositions of an N-state system. It is often written as a matrix and observables are calculated by taking the trace of the product of itself with the operator in question.

Hestenes' spinors are a geometric algebra description of things like a wave function and Dirac 4-component spinor, but if one applies the matrix representation of the algebraic elements directly, it resembles a density matrix-like entity much more closely than a wave function, especially when looking at the mathematical expressions for observables. I know and understand the map from "normal" spinors to Hestenes' spinors, which kind of contradicts my proposition.

Nevertheless, a Hestenes spinor can be written as more general entities (a rotor and a scalar). Is this, in light of the above, a further "generalization" so to say? Or how do these objects relate?

share|improve this question

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.