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For questions that utilize the concept of magnetic fields (commonly denoted by the letter B), or for questions whose answers likely involve magnetic fields. More specific than the [magnetism] tag, as questions about the phenomenon & theory of magnetism do not necessarily involve the discussion of fields.

3 votes
0 answers
55 views

(When) Can the mechanical (kinematic) momentum density ($n$-particle QM, non-rel) become zero?

I am investigating quantum mechanical $n$-electron mechanical (kinematic) momentum densities in molecular systems by numerical methods. For a $n$ electron state function $\Psi$, non-relativistic case …
Raphael J.F. Berger's user avatar
3 votes
1 answer
252 views

Gauge-independence of the "$n$-particle" probability current

Problem Show for the non-relativistic quantum mechanical problem of $n$ electrons in a static homogenous magnetic field $\bf B$ and ignoring spin that the probability current density is gauge indepen …
Raphael J.F. Berger's user avatar
1 vote
1 answer
48 views

Infinitesimal Ampère-Maxwell for (special/symmetric) current induced B field

In a static magnetic field $\mathbf{B}$, which is induced by a static current density $\mathbf{j}$ the current density shall be zero for all points on the $z$ axis ($\mathbf{j}(0,0,z)=\mathbf{0} \; \f …
Raphael J.F. Berger's user avatar