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We consider 2- and 3-dimensional Schr\"odinger or generalizedSchr\"odinger-Pauli operators with the non-degenerating magnetic field in theopen domain under certain non-degeneracy assumptions we derive pointwisespectral asymptotics. We also consider asymptotics of some related expressions(see below). For all asymptotics loops rather than periodic trajectories playimportant role.

2D- and 3DMagnetic Schroedinger Operators: Short Loops, Pointwise Spectral Asymptotics and Asymptotics of Dirac Energy