Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Myth of scattering in finite volume   In this notes, we illustrate why the infinite volume scattering amplitude is
in fact dispensable when it comes to formulating few-body quantization
condition in finite volume. Only subprocess interactions or interactions
associated subprocess amplitudes are essential and fundamental ingredients of
quantization conditions. After these ingredients are determined, infinite
volume scattering amplitude can be computed separately. The underlying reasons
are rooted in facts that (1) the final physical process is generated by all
subprocess or interactions among particles; (2) the ultimate goal of
quantization condition in finite volume is to find stationary solutions of
few-body system. That is to say, in the end, it all comes down to the solving
of eigenvalue problem, $\hat{H} | n \rangle = E_n | n \rangle $.

17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
14
The categories of this paper are: math-ph