Victor Ivrii

collaborators

5 papers

math.SP2010

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

Victor Ivrii

We consider 2- and 3-dimensional Schrödinger or generalized Schrödinger-Pauli operators with the non-degenerating magnetic field in the open domain under certain non-degeneracy ass…

math.AP2010

Operators with Periodic Hamiltonian Flows in Domains with the Boundary

Victor Ivrii

We consider operators in the domains with the boundaries and derive sharp spectral asymptotics (containing non-Weyl correction) in the case when Hamiltonian flow is periodic. Even…

math.AP2010

Short Loops and Pointwise Spectral Asymptotics

Victor Ivrii

We consider pointwise semiclassical spectral asymptotics i.e. asymptotics of $e (x, x, 0)$ as $h \to + 0$ where $e (x, y, τ)$ is the Schwartz kernel of the spectral projector and consider…

math.SP2010

Schroedinger Operator with Strong Magnetic Field: Propagation of singularities and sharper asymptotics

Victor Ivrii

We consider 2-dimensional Schrödinger operator with the non-degenerating magnetic field and we discuss spectral asymptotics with the remainder estimate $o (μ^{- 1} h^{- 1})$ or better.…

math.SP2010

Schroedinger Operator with Strong Magnetic Field near Boundary

Victor Ivrii

We consider 2-dimensional Schroedinger operator with the non-degenerating magnetic field in the domain with the boundary and under certain non-degeneracy assumptions we derive spec…