Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coherent-State Overcompleteness, Path Integrals, and Weak Values   In the Hilbert space of a quantum particle the standard coherent-state
resolution of unity is written in terms of a phase-space integration of the
outer product $|z\rangle \langle z|$. Because no pair of coherent states is
orthogonal, one can represent the closure relation in non-standard ways, in
terms of a single phase-space integration of the "unlike" outer product
$|z'\rangle \langle z|$, $z'\ne z$. We show that all known representations of
this kind have a common ground, and that our reasoning extends to spin coherent
states. These unlike identities make it possible to write formal expressions
for a phase-space path integral, where the role of the Hamiltonian ${\cal H}$
is played by a weak energy value ${\cal H}_{weak}$. Therefore, in this context,
we can speak of weak values without any mention to measurements. The quantity
${\cal H}_{weak}$ appears as the ruler of the phase-space dynamics in the
semiclassical limit.

17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
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The categories of this paper are: eess
33
The categories of this paper are: plasm-ph