On 9/8/2008 2:23 PM, [EMAIL PROTECTED] wrote:
My paper for the propulsion conference produces the orbits of hydrogen as a condition of the transitional quantum state. I have be trying to show that intensity of a spectral line is proportional to the square of amplitude of the transitional quantum state. I have been dancing around an answer to the problem of intensity for a long time. I believe that I have finally got it. Ref. the link below and go to page 4. http://www.angelfire.com/scifi2/zpt/chapterc.html Frank Znidarsic Frank if your is related to photon state transitions you might be interested in this novel mathematical treatment of bessel functions described in the Canadian Journal of Physics. The authors explain a new generalisation of bessel functions which makes calculations much easier and does not appear to exist in past and current literature. ------------------------ Phased Bessel functions X. Hu, H. Wang, and D. -S Guo Abstract: In the study of photon-state transitions, we found a natural extension of the first kind of Bessel functions that extends both the range and domain of the Bessel functions from the real number field to the complex number field. We term the extended Bessel functions as phased Bessel functions. This extension is completely different from the traditional ³analytical extension². The new complex Bessel functions satisfy addition, subtraction, and recurrence theorems in a complex range and a complex domain. These theorems provide short cuts in calculations. The single-phased Bessel functions are generalized to multiple-phased Bessel functions to describe various photon-state transitions. Full paper may be downloaded free of charge: http://pubs.nrc-cnrc.gc.ca/rp-ps/issueDetail.jsp?jcode=cjp&vol=86&is=7&lang= eng Harry
