Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum motion on a torus as a submanifold problem in a generalized
  Dirac's theory of second-class constraints   A generalization of the Dirac's canonical quantization theory for a system
with second-class constraints is proposed as the fundamental commutation
relations that are constituted by all commutators between positions, momenta
and Hamiltonian so they are simultaneously quantized in a self-consistent
manner, rather than by those between merely positions and momenta so the theory
either contains redundant freedoms or conflicts with experiments. The
application of the generalized theory to quantum motion on a torus leads to two
remarkable results: i) The theory formulated purely on the torus, i.e., based
on the so-called the purely intrinsic geometry, conflicts with itself. So it
provides an explanation why an intrinsic examination of quantum motion on torus
within the Schrodinger formalism is improper. ii) An extrinsic examination of
the torus as a submanifold in three dimensional flat space turns out to be
self-consistent and the resultant momenta and Hamiltonian are satisfactory all
around.

20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph