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Semiclassical asymptotics of the vector Sturm-Liouville problem
Russian Journal of Mathematical Physics, 2006The paper deals with the matrix Sturm-Liouville problem on the whole line with a potential which is a smooth, self-adjoint matrix function, and with a small parameter at the derivatives. The goal is to study the asymptotics of eigenvalues and eigenfunctions in the case when the symbol of the problem has eigenvalues of variable multiplicity.
Kryvko, A., Kucherenko, V. V.
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Semiclassical bound states in an asymptotically free theory
Physical Review D, 1975A semiclassical calculation of the particle spectrum in the Gross--Neveu model was carried out. It is a two-dimensional model with N species of fermions interacting through a symmetrical scalar-scalar interaction and is renormalizable, asymptotically free, and exhibits spontaneous symmetry breaking.
Roger F. Dashen +2 more
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Semiclassical stability of asymptotically locally flat spaces
Physical Review D, 1983Constructing a partition function for Euclidean quantum gravity by using asymptotically locally flat instantons will result in an imaginary contribution to the partition function. A negative eigenmode for the differential operator giving a one-loop contribution to the partition function has been found for the Taub-bolt instanton.
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Semiclassical Spectral Asymptotics and Multiparticle Quantum Theory
1995In this talk I would like to present the very first results of my intervention to the Multiparticle Quantum Theory (MQT). A lot of nice results were obtained by mathematical physicists but the Theory of Semiclassical Spectral Asymptotics (TSSA) was applied only in a few papers and I believe that the systematic application will provide some progress ...
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Standard Local Semiclassical Spectral Asymptotics near the Boundary
1998In this chapter we continue the treatment of local and microlocal semiclassical spectral asymptotics. Now we consider the case where our unit ball intersects the boundary of the domain in a part of the boundary which is smooth. This chapter consists of four sections corresponding to first four sections of Chapter 4.
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Semiclassical asymptotics of quantum stochastic equations
Theoretical and Mathematical Physics, 1991V. P. Belavkin, V. N. Kolokol'tsov
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