Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From Dirac Notation to Probability Bracket Notation: Time Evolution and
  Path Integral under Wick Rotations   In this article, we continue to investigate the application of Probability
Bracket Notation (PBN). We show that, under Special Wick Rotation (caused by
imaginary-time rotation), the Schrodinger equation of a conservative system and
its path integral in Dirac rotation are simultaneously shifted to the master
equation and its Euclidean path integral of an induced micro diffusion in PBN.
Moreover, by extending to General Wick Rotation and using the anti-Hermitian
wave-number operator, we execute the path integral in Dirac notation
side-by-side with the Euclidean path integral in PBN, and derive the Euclidean
Lagrangian of induced diffusions and Smoluchowski equation.

34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
19
The categories of this paper are: eess
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The categories of this paper are: supr-con
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom