You're viewing papers too quickly. Please wait a moment.<br>This helps keep the archive available for everyone.
Quick Navigation
Topics
Quantum Algorithms
Wronskian method and the Schrödinger eigenvalue march
arXiv
Authors: Francisco M. Fernández
Year
2011
Paper ID
29081
Status
Preprint
Abstract Read
~2 min
Abstract Words
103
Citations
N/A
Abstract
We compare the Wronskian method (WM) and the Schrödinger eigenvalue march or canonical function method (SEM--CFM) for the calculation of the energies and eigenfunctions of the Schrödinger equation. The Wronskians between linearly independent solutions of the Schrödinger equation provide a rigorous basis for some of the assumptions of the SEM-CFM, like, for example, the concept of "saturation". We compare the performance of both approaches on a simple one-dimensional model and suggest that taking into account the asymptotic behaviour of the wavefunction (as is already done in the WM) may make the SEM-CFM more efficient from a numerical point of view.
Why This Paper Matters
- It adds a 2011 reference point for readers tracking recent quantum research.
- We compare the Wronskian method (WM) and the Schrödinger eigenvalue march or canonical function method (SEM--CFM) for the calculation of the energies and eigenfunctions of the...
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.