diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index 6b596ac..3069f69 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.9.4","generation_timestamp":"2023-12-14T23:52:04","documenter_version":"1.2.1"}} \ No newline at end of file +{"documenter":{"julia_version":"1.10.0","generation_timestamp":"2024-01-04T08:00:41","documenter_version":"1.2.1"}} \ No newline at end of file diff --git a/dev/HarmonicOscillator/index.html b/dev/HarmonicOscillator/index.html index 4f6f47a..1fd2ec4 100644 --- a/dev/HarmonicOscillator/index.html +++ b/dev/HarmonicOscillator/index.html @@ -22,7 +22,7 @@ H_{8}(x) &= 1680 - 13440 x^{2} + 13440 x^{4} - 3584 x^{6} + 256 x^{8}, \\ H_{9}(x) &= 30240 x - 80640 x^{3} + 48384 x^{5} - 9216 x^{7} + 512 x^{9}, \\ &\vdots - \end{aligned}\]
Install Antique.jl for the first run and run using Antique
before each use. The function antique(model, parameters...)
returns a module that has E()
, ψ(x)
, V(x)
and some other functions. In this system, the model name is specified by :HarmonicOscillator
and several parameters k
, m
and ℏ
are set as optional arguments.
using Antique
+ \end{aligned}\]Reference
- DLMF 18.5.18
- cpprefjp
- The Digital Library of Mathematical Functions (DLMF) 18.3 Table1, 18.5 Table1, 18.5.13, 18.5.18
- L. D. Landau, E. M. Lifshitz, Quantum Mechanics (Pergamon Press, 1965) p.595 (a.4), (a.6)
- L. I. Schiff, Quantum Mechanics (McGraw-Hill Book Company, 1968) p.71 (13.12)
- A. Messiah, Quanfum Mechanics (Dover Publications, 1999) p.491 (B.59)
- W. Greiner, Quantum Mechanics: An Introduction Third Edition (Springer, 1994) p.152 (7.22)
- D. J. Griffiths, Introduction to Quantum Mechanics (Prentice Hall, 1995) p.41 Table 2.1, p.43 (2.70)
- D. A. McQuarrie, J. D. Simon, Physical Chemistry: A Molecular Approach (University Science Books, 1997) p.170 Table 5.2
- P. W. Atkins, J. De Paula, Atkins' Physical Chemistry, 8th edition (W. H. Freeman, 2008) p.293 Table 9.1
- J. J. Sakurai, J. Napolitano, Modern Quantum Mechanics Third Edition (Cambridge University Press, 2021) p.524 (B.29)
Usage & Examples
Install Antique.jl for the first use and run using Antique
before each use. The function antique(model, parameters...)
returns a module that has E()
, ψ(x)
, V(x)
and some other functions. In this system, the model name is specified by :HarmonicOscillator
and several parameters k
, m
and ℏ
are set as optional arguments.
using Antique
HO = antique(:HarmonicOscillator, k=1.0, m=1.0, ℏ=1.0)
Parameters:
julia> HO.k
1.0
@@ -443,4 +443,4 @@
5.0 | 9 | 21.242645786248 | 21.242617504750 ✔
Test Summary: | Pass Total
∫ψₙ*Hψₙdx = <ψₙ|H|ψₙ> = Eₙ | 40 40
-
Settings
This document was generated with Documenter.jl version 1.2.1 on Thursday 14 December 2023. Using Julia version 1.9.4.