Document Type


Source Publication Title

Technical Report 108


A new approach to atomic and molecular dynamics is developed which combines both quantum and classical concepts. Applications are made to the hydrogen atom, the hydrogen ion, and the hydrogen molecule. An accurate computer technique for the approximation of bond lengths is developed and illustrative examples of electron motions are described and discussed. Uncertainty results naturally from a mathematical statement of total system energy, which is always quantized. Angular momentum can be zero and need not be quantized, thereby avoiding inconsistencies of Bohr-Sommerfeld type models.


Mathematics | Physical Sciences and Mathematics

Publication Date




Included in

Mathematics Commons



To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.