Quick Navigation

Overview Topics Abstract Importance Paper Tools References Reactions Discussion Publication Related

Topics

Open Quantum Systems Decoherence Quantum Simulation Entanglement Theory Quantum Correlations Quantum State Preparation Representation

Non-catastrophic resonant states in one dimensional scattering from a rising exponential potential

arXiv
Authors: Zafar Ahmed, Lakshmi Prakash, Shashin Pavaskar

Year

2014

Paper ID

48118

Status

Preprint

Abstract Read

~2 min

Abstract Words

107

Citations

N/A

Abstract

Investigation of scattering from rising potentials has just begun, these unorthodox potentials have earlier gone unexplored. Here, we obtain reflection amplitude (r(E)) for scattering from a two-piece rising exponential potential: V\(xle 0\)=V1\[1-e-2x/a\], V(x > 0)=V2\[e2x/b-1\], where V1,2>0. This potential is repulsive and rising for x>0; it is attractive and diverging to $-infty$ for x<0. The complex energy poles ${cal E}n= En-iΓn/2, Γn>0$ of r(E) manifest as resonances. Wigner's reflection time-delay displays peaks at energies E\(approx En\) but the eigenstates do not show spatial catastrophe for E={cal E}n.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2014 reference point for readers tracking recent quantum research.
  • Investigation of scattering from rising potentials has just begun, these unorthodox potentials have earlier gone unexplored.

Paper Tools

Become a member to use research tools

Sign in to open papers, visit source links, share, cite, compare, copy DOI links, request category corrections, and build your reading list.

Become a member Sign in
Show Paper arXiv Publisher Share Cite This Paper Copy URL Compare Copy DOI Add to Reading List Category Correction Request

References & Citation Signals

[1] DOI https://doi.org/arXiv:1408.2367 [2] arXiv https://arxiv.org/abs/1408.2367 [3] Publisher https://arxiv.org/abs/1408.2367

Local Citation Graph (Related-Paper Links)

Current Paper #48118 #69978 Distribution Complexity of Elec... #69974 Hierarchical separation of rela... #69964 Bounded-depth spacetime lattice... #69945 Phase Stable Integrated Delay L...

External citation index: OpenAlex citation signal

Community Reactions

Quick sentiment from readers on this paper.

Score: 0
Likes: 0 Dislikes: 0

Sign in to react to this paper.

Discussion & Reviews (Moderated)

Average Rating: 0.0 / 5 (0 ratings)

No written reviews yet.