Digital Repository

The equality of Schrödinger’s Theory and Heisenberg’s S-matrix Theory

Show simple item record

dc.contributor.author Silva, H.I.R.U.
dc.date.accessioned 2015-09-04T04:49:10Z
dc.date.available 2015-09-04T04:49:10Z
dc.date.issued 2011
dc.identifier.citation Silva, H.I.R.U. 2011. The equality of Schrödinger’s Theory and Heisenberg’s S-matrix Theory. Proceedings of the 67th Annual Sessions of Sri Lanka Association for the Advancement of Science, pp 62. en_US
dc.identifier.issn 1391-023X
dc.identifier.uri http://repository.kln.ac.lk/handle/123456789/9454
dc.description.abstract The main aim of this work is to show that the energy discrete eigen values given by the Schrödinger’s theory and Heisenberg’s theory are the same. To obtain this result, we have used Parabolic co-ordinates to solve the Schrödinger’s equation for the Hydrogen Atom. By using the Hyper Geometric Confluent functions we have expressed the S-matrix element using Gamma functions; ( ) ( ) (l in) l in S k n l G + − G + + = 1 1 where k e n 2 2 h μ = − By the definition of Gamma function, ( ) ( )Õ ¥ = −                       +         + = 1 2 2 1 1 p p in in l e p z p z e z z S n g Then it is apparent that the S-matrix element contains infinite number of poles and zeros. Considering the relevant simple pole, we have derived an equation for the energy eigen values of the form 2 2 4 2 n e En h μ = − This shows that it is the same as the equation we have obtained in Schrödinger’s theory. Therefore Heisenberg’s S-matrix theory and Schrödinger’s wave mechanics give exactly the same eigen values in the cases we have examined. en_US
dc.language.iso en en_US
dc.publisher Sri Lanka Association for the Advancement of Science en_US
dc.title The equality of Schrödinger’s Theory and Heisenberg’s S-matrix Theory en_US
dc.type Article en_US


Files in this item

This item appears in the following Collection(s)

Show simple item record

Search Digital Repository


Browse

My Account