Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integrable models for quantum media excited by laser radiation: a
  method, physical interpretation, and examples   A method to build various integrable models for description of coherent
excitation of multilevel media by laser pulses is suggested. Distribution
functions over the energy levels of quantum systems depending on the time and
frequency detuning are obtained. The distributions follow from Schr\"odinger
equation exact solutions and give the complete dynamical description of
laser-excited quantum multilevel systems. Interpretation based on the Fourier
spectra of the probability amplitudes of a quantum system is presented. The
spectra are expressed in terms of orthonormal polynomials and their weight
functions. Matrix elements of the dipole transitions between levels are equal
to coefficients of the recurrence formula for the orthonormal polynomial
system. Some examples are presented. The Kravchuk oscillator family as an
integrable model is constructed to describe the coherent excitation dynamics of
multilevel resonance media. It is based on the use of the Kravchuk orthogonal
polynomials. The Kravchuk oscillator excitation dynamics is described by the
binomial distribution of energy level populations and the distribution
parameter depends on excitation conditions. Two known basic models in quantum
physics -- the harmonic oscillator and two-level system are the special
representatives of the Kravchuk oscillator family.

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The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con