Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Many-Body Diffusion and Path Integrals for Identical Particles   For distinguishable particles it is well known that Brownian motion and a
Feynman-Kac functional can be used to calculate the path integral (for
imaginary times) for a general class of scalar potentials. In order to treat
identical particles, we exploit the fact that this method separates the problem
of the potential, dealt with by the Feynman-Kac functional, from the process
which gives sample paths of a non-interacting system. For motion in 1
dimension, we emphasize that the permutation symmetry of the identical
particles completely determines the domain of Brownian motion and the
appropriate boundary conditions: absorption for fermions, reflection for
bosons. Further analysis of the sample paths for motion in 3 dimensions allows
us to decompose these paths into a superposition of 1-dimensional sample paths.
This reduction expresses the propagator (and consequently the energy and other
thermodynamical quantities) in terms of well-behaved 1-dimensional fermion and
boson diffusion processes and the Feynman-Kac functional.

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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph