Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complementarity and the nature of uncertainty relations in Einstein-Bohr
  recoiling slit experiment   A model of the Einstein-Bohr double-slit experiment is formulated in a fully
quantum theoretical setting. In this model, the state and dynamics of a movable
wall that has the double slits in it, as well as the state of a particle
incoming to the double slits, are described by quantum mechanics. Using this
model, we analyzed complementarity between exhibiting the interference pattern
and distinguishing the particle path. Comparing the Kennard-Robertson type and
the Ozawa-type uncertainty relations, we conclude that the uncertainty relation
involved in the double-slit experiment is not the Ozawa-type uncertainty
relation but the Kennard-type uncertainty relation of the position and the
momentum of the double-slit wall. A possible experiment to test the
complementarity relation is suggested. It is also argued that various phenomena
which occur at the interface of a quantum system and a classical system,
including distinguishability, interference, decoherence, quantum eraser, and
weak value, can be understood as aspects of entanglement.

18
The categories of this paper are: econ
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys