Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Unified Theoretical Framework for Mapping Models for the Multi-State
  Hamiltonian   We propose a new unified theoretical framework to construct equivalent
representations of the multi-state Hamiltonian operator and present several
approaches for the mapping onto the Cartesian phase space. After mapping an
F-dimensional Hamiltonian onto an F+1- dimensional space, creation and
annihilation operators are defined such that the F+1 dimensional space is
complete for any combined excitations. Commutation and anti-commutation
relations are then naturally derived, which show that the underlying degrees of
freedom are neither bosons nor fermions. This sets the scene for developing
equivalent expressions of the Hamiltonian operator in quantum mechanics and
their classical/semiclassical counterparts. Six mapping models are presented as
examples. The framework also offers a novel way to derive such as the
well-known Meyer-Miller model.

34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol