| | |
| | |
Stat |
Members: 3645 Articles: 2'504'585 Articles rated: 2609
25 April 2024 |
|
| | | |
|
Article overview
| |
|
Quantum Mechanics in Wavelet Basis | Pavan Chawhan
; Raghunath Ratabole
; | Date: |
14 Oct 2020 | Abstract: | We describe a multi-scale resolution approach to analyzing problems in
Quantum Mechanics using Daubechies wavelet basis. The expansion of the
wavefunction of the quantum system in this basis allows a natural
interpretation of each basis function as a quantum fluctuation of a specific
resolution at a particular location. The Hamiltonian matrix constructed in this
basis describes couplings between different length scales and thus allows for
intuitive volume and resolution truncation. In quantum mechanical problems with
a natural length scale, one can get approximate solution of the problem through
simple matrix diagonalization. We illustrate this approach using the example of
the standard quantum mechanical simple harmonic oscillator. | Source: | arXiv, 2010.06945 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |