Semiclassical asymptotics of the spectrum of the hydrogen atom in an electromagnetic field near the lower boundaries of spectral clusters
We study the Zeeman–Stark effect problem in the hydrogen atom located in an electromagnetic
field by using irreducible representations of the Karasev–Novikova algebra
with quadratic commutation relations. We find asymptotics of a series of eigenvalues
and the corresponding eigenfunctions near the lower boundaries of spectral clusters.