Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics of Noncommutative Solitons II: Spectral Theory, Dispersive
  Estimates and Stability   We consider the Schr\"odinger equation with a (matrix) Hamiltonian given by a
second order difference operator with nonconstant growing coefficients, on the
half one dimensional lattice. This operator appeared first naturally in the
construction and dynamics of noncommutative solitons in the context of
noncommutative field theory. We completely determine the spectrum of the
Hamiltonian linearized around a ground state soliton and prove the optimal
decay rate of $t^{-1}\log^{-2}t$ for the associated time decay estimate. We use
a novel technique involving generating functions of orthogonal polynomials to
achieve this estimate.

23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex