Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lagrangian Description for Particle Interpretations of Quantum Mechanics
  -- Entangled Many-Particle Case   A Lagrangian formulation is constructed for particle interpretations of
quantum mechanics, a well-known example of such an interpretation being the
Bohm model. The advantages of such a description are that the equations for
particle motion, field evolution and conservation laws can all be deduced from
a single Lagrangian density expression. The formalism presented is Lorentz
invariant. This paper follows on from a previous one which was limited to the
single-particle case. The present paper treats the more general case of many
particles in an entangled state. It is found that describing more than one
particle while maintaining a relativistic description requires the
specification of final boundary conditions as well as the usual initial ones,
with the experimenter's controllable choice of the final conditions thereby
exerting a backwards-in-time influence. This retrocausality then allows an
important theoretical step forward to be made, namely that it becomes possible
to dispense with the usual, many-dimensional description in configuration space
and instead revert to a description in spacetime using separate,
single-particle wavefunctions.

33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin