  Influence of the transverse uniform magnetic field $\bf B$ on position
(subscript $\rho$) and momentum ($\gamma$) Shannon quantum-information
entropies $S_{\rho,\gamma}$, Fisher informations $I_{\rho,\gamma}$ and
informational energies $O_{\rho,\gamma}$ is studied theoretically for the 2D
circular quantum dots (QDs) whose circumference supports homogeneous either
Dirichlet or Neumann boundary condition (BC). Analysis reveals similarities and
differences of the influence on the properties of the structure of the surface
interaction with the magnetic field. Conspicuous distinction between the
spectra are crossings at the increasing induction of the Neumann energies with
the same radial quantum number $n$ and adjacent non-positive angular indices
$m$. At the growing $B$, either system undergoes Landau condensation when its
characteristics turn into their uniform field counterparts. For the Dirichlet
system this transformation takes place at the smaller magnetic intensities;
e.g., the Dirichlet sum $S_{\rho_{00}}+S_{\gamma_{00}}$ on its approach from
above to a fundamental limit $2(1+\ln\pi)$ is at any $B$ smaller than the
corresponding Neumann quantity what physically means that the former geometry
provides more total information about the position and motion of the particle.
It is pointed out that the widely accepted disequilibrium uncertainty relation
$O_\rho O_\gamma\leq(2\pi)^{-\mathtt{d}}$, with $\mathtt{d}$ being a
dimensionality of the system, is violated by the Neumann QD in the magnetic
field. Comparison with electrostatic harmonic confinement is performed.
Physical interpretation is based on the different roles of the two BCs and
their interplay with the field: Dirichlet (Neumann) surface is a repulsive
(attractive) interface.

Quantum Physics;Mesoscale and Nanoscale Physics