Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: USING SUPERMODELS IN QUANTUM OPTICS NICOLE GARBERS AND ANDREAS RUFFING | USING SUPERMODELS IN QUANTUM OPTICS NICOLE GARBERS AND ANDREAS RUFFING Received 27 January 2006 Revised 11 April 2006 Accepted 12 April 2006 Starting from supersymmetric quantum mechanics and related supermodels within Schrodinger theory we review the meaning of self-similar superpotentials which exhibit the spectrum of a geometric series. We construct special types of discretizations of the Schrodinger equation on time scales with particular symmetries. This discretization leads to the same type of point spectrum for the referred Schrodinger difference operator than in the self-similar superpotential case hence exploiting an isospectrality situation. A discussion is opened on the question of how the considered energy sequence and its generalizations serve the understanding of coherent states in quantum optics. Copyright 2006 N. Garbers and A. Ruffing. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. 1. Introduction Items like coherent states or squeezed states can nowadays be found in many recent articles on quantum optics. The fact that the Nobel Prize in Physics 2005 has been awarded to pioneers on this area like R. Glauber gives insight how active this area is. The kind of physical states behind coherent states or squeezed states are the so-called nonclassical states. They are minimal uncertainty states. These properties are essential for an efficient signal transmission in the quantum world. The theory of coherent states in physics has been developed all over the last decades among others by Glauber Klauder and Sudarshan. Coherent states play a major role in laser physics. The mathematical modeling in laser physics allows three different approaches to coherent states first by the method of translation operators second by the method of ladder operators and third by the method of minimal uncertainty. .
