{"id":4382,"date":"2023-07-03T09:07:18","date_gmt":"2023-07-03T14:07:18","guid":{"rendered":"https:\/\/commons.princeton.edu\/josephhenry\/?page_id=4382"},"modified":"2023-08-04T14:20:41","modified_gmt":"2023-08-04T19:20:41","slug":"hydrogen","status":"publish","type":"page","link":"https:\/\/commons.princeton.edu\/josephhenry\/hydrogen\/","title":{"rendered":"Hydrogen"},"content":{"rendered":"

Power Curves<\/h2>\n

\"\"<\/p>\n

Power curves using both an approach from Quantum physics and an approach from Semi-Classical physics to demonstrate Bohr’s correspondence principle—based on Jasper’s thesis.<\/p>\n

Mathematica Files for Power Curves<\/h3>\n

Main Mathematica file that contains everything **Use This for paper**: Master Document<\/a><\/strong><\/p>\n

 <\/p>\n

Quantum vs Semi-Classical power curves: Combined Quantum and Semi Classical Approaches Plot<\/a><\/p>\n

Comparison of the Semi-Classical approaches used in Jasper’s thesis and Horbatsch’s paper: SemiClassical Power Curve Jasper vs Horbatsch Comparison<\/a><\/p>\n

Comparison of the Quantum approaches used in Jasper’s thesis and Horbatsch’s paper: Quantum Power Curve Jasper vs Horbatsch Comparison<\/a><\/p>\n

Comparison of Horbatsch’s Semi-Classical scaled and unscaled approaches with Jasper’s Quantum one: Horbatsch vs HorbatschScaled<\/a>BinnedSums<\/a><\/p>\n

\"\"<\/h2>\n

Binned sums of scaled curve: BinnedSums<\/a><\/p>\n

Graphs and Images:<\/h3>\n

Binned plots pdfs from n=100 l=10-90: Binned power curve graphs-20230731T192151Z-001<\/a><\/p>\n

Pavel’s quantum vs semi-classical graphs: Pavel’s power curve graphs-20230804T191537Z-001<\/a><\/p>\n

https:\/\/commons.princeton.edu\/josephhenry\/wp-content\/uploads\/sites\/71\/2023\/07\/ezgif.com-gif-to-mp4.mp4<\/a><\/video><\/div>\n

Animation of Electron Orbiting Nucleus Hydrogen Atom (with nucleus at origin now): Elliptical Animation<\/a><\/p>\n

Papers\/Tables<\/h3>\n

Jasper Arnold Princeton Senior Thesis: Jasper Thesis Final<\/a><\/p>\n

Jackson textbook problem, pg 502: Jackson pg 502<\/a><\/p>\n

M. W. Horbatsch, E. A. Hessels, and M. Horbatsch: Classical calculation of the lifetimes and branching ratios for radiative decays of hydrogenic atoms<\/a><\/p>\n

G. S. Khandelwal and E. E. Fitchard Paper: The Square of the Radial Integral for Calculating the Dipole Oscillator Strengths for Transitions in Hydrogen Atoms in their 3(3, p, OR d) and 4(>, p, d, OR\/) States<\/a><\/p>\n

Charlotte E. Moore’s Tables: Selected Tables of Atomic Spectra<\/a><\/p>\n

W. L. Wiese’s, M. W. Smith’s, and B. M. Glennon’s Tables: Atomic Transition Probabilities Volume I through Neon<\/a><\/p>\n

Pavel’s code and tables: Pavel’s Code-20230804T191553Z-001<\/a><\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

Stark Effect<\/h2>\n

\"\"<\/h2>\n

Google Sheet file that simulates an electron orbit in a hydrogen atom using the Hamiltonian:<\/span><\/p>\n

https:\/\/docs.google.com\/spreadsheets\/d\/1-bRppfpGoMqEkeVOGTIenuciGumnmGcIIhISXN1eBUA\/edit#gid=0<\/a><\/p>\n

Mathematica program:<\/p>\n

Graph Elliptical Orbit From Hamiltonian.nb<\/a><\/p>\n

Python Program:<\/p>\n

StarkEffect.py<\/a><\/p>\n

 <\/p>\n

Work by David Litman and Roshan Natarajan<\/h6>\n","protected":false},"excerpt":{"rendered":"

Power Curves Power curves using both an approach from Quantum physics and an approach from Semi-Classical physics to demonstrate Bohr’s correspondence principle—based on Jasper’s thesis. Mathematica Files for Power Curves Main Mathematica file that contains everything **Use This for paper**: Master Document   Quantum vs Semi-Classical power curves: Combined Quantum and Semi Classical Approaches Plot … Continue reading “Hydrogen”<\/span><\/a><\/p>\n","protected":false},"author":5330,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-4382","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/pages\/4382","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/users\/5330"}],"replies":[{"embeddable":true,"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/comments?post=4382"}],"version-history":[{"count":31,"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/pages\/4382\/revisions"}],"predecessor-version":[{"id":4553,"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/pages\/4382\/revisions\/4553"}],"wp:attachment":[{"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/media?parent=4382"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/categories?post=4382"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/commons.princeton.edu\/josephhenry\/wp-json\/wp\/v2\/tags?post=4382"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}