Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New scattering features in non-Hermitian space fractional quantum
  mechanics   The spectral singularity (SS) and coherent perfect absorption (CPA) have been
extensively studied over the last one and half decade for different
non-Hermitian potentials in non-Hermitian standard quantum mechanics (SQM)
governed by Schrodinger equation. In the present work we explore these
scattering features in the domain of non-Hermitian space fractional quantum
mechanics (SFQM) governed by fractional Schrodinger equation which is
characterized by Levy index $\alpha$ ($ 1< \alpha \leq 2$). We observe that
non-Hermitian SFQM systems have more flexibility for SS and CPA and display
some new features of scattering. For the delta potential $V(x)=-i\rho \delta
(x-x_{0})$, $\rho > 0$, the SS energy, $E_{ss}$, is blue or red shifted with
decreasing $\alpha$ depending the strength of the potential. For complex
rectangular barrier in non-Hermitian SQM, it is known that the reflection and
transmission amplitudes are oscillatory near the spectral singular point. It is
found that these oscillations eventually develop SS in non-Hermitian SFQM. The
similar features is also reported for the case of CPA phenomena from complex
rectangular barrier in non-Hermitian SFQM. These observations suggest a deeper
relation between scattering features of non-Hermitian SQM and non-Hermitian
SFQM.

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The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas