Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extending Heisenberg's measurement--disturbance relation to the
  twin-slit case   Heisenberg's position-measurement--momentum-disturbance relation is derivable
from the uncertainty relation $\sigma(q)\sigma(p) \geq \hbar/2$ only for the
case when the particle is initially in a momentum eigenstate. Here I derive a
new measurement--disturbance relation which applies when the particle is
prepared in a twin-slit superposition and the measurement can determine at
which slit the particle is present. The relation is $d \times \Delta p \geq
2\hbar/\pi$, where $d$ is the slit separation and $\Delta p=D_{M}(P_{f},P_{i})$
is the Monge distance between the initial $P_{i}(p)$ and final $P_{f}(p)$
momentum distributions.

19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
3
The categories of this paper are: physics