3 papers
math.SP2005
High energy asymptotics and trace formulae for the perturbed harmonic oscillator
Alexander Pushnitski, Ian Sorrell
A one-dimensional quantum harmonic oscillator perturbed by a smooth compactly supported potential is considered. For the corresponding eigenvalues , a complete asymptotic expa…
math.SP2003
A trace formula and high energy spectral asymptotics for the perturbed Landau Hamiltonian
Evgeni Korotyaev, Alexander Pushnitski
A two-dimensional Schrödinger operator with a constant magnetic field perturbed by a smooth compactly supported potential is considered. The spectrum of this operator consists of e…
math.SP1999
The spectral shift function and the invariance principle
Alexander Pushnitski
The new representation formula for the spectral shift function due to F.Gesztesy and K.A.Makarov is considered. This formula is extended to the case of relatively trace class pertu…