Quick Navigation
Topics
Quantum Simulation
Analytic approximation for eigenvalues of a class of mathcal{PT} symmetric Hamiltonians
arXiv
Authors: O. D. Skoromnik, I. D. Feranchuk
Year
2017
Paper ID
44208
Status
Preprint
Abstract Read
~2 min
Abstract Words
54
Citations
N/A
Abstract
An analytical approximation for the eigenvalues of mathcal{PT} symmetric Hamiltonian mathsf{H} = -d2/dx2 - \(ix\)ε+2, ε> -1 is developed via simple basis sets of harmonic-oscillator wave functions with variable frequencies and equilibrium positions. We demonstrate that our approximation provides high accuracy for any given energy level for all values of ε> -1.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
- It adds a 2017 reference point for readers tracking recent quantum research.
- An analytical approximation for the eigenvalues of mathcalPT symmetric Hamiltonian mathsfH = -d^2/dx^2 - (ix^ε+2), ε> -1 is developed via simple basis sets of...
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.
Show Paper arXiv Publisher Share
Cite This Paper
Copy URL
Compare
Copy DOI Add to Reading List
Category Correction Request
Category Correction Request
Help us improve classification quality by proposing a better category. Every request is reviewed by an admin.
Sign in to submit a category correction request for this paper.
Log In to SubmitReferences & Citation Signals
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.