probability current density

probability current density

[‚präb·ə′bil·əd·ē ¦kə·rənt ‚den·səd·ē]
(quantum mechanics)
A vector whose component normal to a surface gives the probability that a particle will cross a unit area of the surface during a unit time.
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where [rho] = [[psi].sup.[dagger]][psi] is the probability density and [j.sup.k] = [[psi].sup.[dagger]]c[[alpha].sub.k][psi] is the kth component of the probability current density. Integrating (16) over the volume V (assumed to contain the electron core (-[e.sub.*], m)), and using the divergence theorem, leads to [1, p.
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