The properties of matter are drastically modified by strong magnetic fields, B≫ me 2 e 3 c/ħ
3= 2.35× 10 9 G (1 G= 10− 4 T), as are typically found on the surfaces of neutron stars. In …

There has recently been growing evidence for the existence of neutron stars possessing
magnetic fields with strengths that exceed the quantum critical field strength of 4.4× 10 13 G …

We discuss the asymptotics of the eigenvalue counting function for partial differential
operators and related expressions paying the most attention to the sharp asymptotics. We …

How and why could an interacting system of many particles be described as if all particles
were independent and identically distributed? This question is at least as old as statistical …

Schrödinger operators in the twentieth century | Journal of Mathematical Physics | AIP
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The Problem of the Spectral Asymptotics, in particular the problem of the Asymptotic
Distribution of the Eigenvalues, is one of the central problems in the Spectral Theory of …

The physical properties of atoms, molecules, and solids in ultrahigh magnetic fields B≫ 10 9
G that are believed to exist on the surface of neutron stars are discussed. In these fields …

The outermost layers of some neutron stars are likely to be dominated by hydrogen, as a
result of fast gravitational settling of heavier elements. These layers directly mediate thermal …

The quantum-mechanical ground state of a two-dimensional (2D) TV-electron system in a
confining potential V (x)= Kv (x)(K is a coupling constant) and a homogeneous magnetic …

We present calculations of the electronic structure of one-dimensional infinite chains and
three-dimensional condensed matter in strong magnetic fields ranging from B= 10 12 G to …