Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ensemble in phase space: statistical formalism of quantum mechanics   We present an alternative formalism of quantum mechanics tailored to
statistical ensemble in phase space. The purpose of our work is to show that it
is possible to establish an alternative autonomous formalism of quantum
mechanics in phase space using statistical methodology. The adopted perspective
leads to obtaining within the framework of its theory the master
quantum-mechanical equation without recourse to the other formalisms of quantum
mechanics, and gives the idea of operators pertaining to dynamical quantities.
The derivation of this equation starts with the ensemble in phase space. We
have explained with the help of this equation the structure of quantum
mechanics in phase space and the approximation to the Schrodinger equation.
Furthermore, we have shown that this formalism provides reasonable results of
quantization by dealing with some simple cases, which confirm the validity of
this formalism. In particular, we have demonstrated that this formalism can
easily give the relativistic wave equation without treating the problem of
linearizing the Hamiltonian operator by making the most of the point that the
master equation is a first-order partial differential equation with respect to
time, position and momentum variables, and makes use of the phase velocity. The
ultimate outcome this formalism produces is that primary and general matters of
quantum mechanics can be studied reasonably within the framework of statistical
mechanics.

36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio