تقرير
Complete Hamiltonian description of wave-like features in classical and quantum physics
| العنوان: | Complete Hamiltonian description of wave-like features in classical and quantum physics |
|---|---|
| المؤلفون: | Orefice, A., Giovanelli, R., Ditto, D. |
| سنة النشر: | 2007 |
| المجموعة: | Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics |
| الوصف: | The analysis of the Helmholtz equation is shown to lead to an exact Hamiltonian system of equations describing in terms of ray trajectories a very wide family of wave-like phenomena (including diffraction and interference) going much beyond the limits of the ordinary geometrical optics approximation, which is contained as a simple limiting case. Due to the fact that the time independent Schroedinger equation is itself a Helmoltz-like equation, the same mathematical solutions holding for a classical optical beam turn out to apply to a quantum particle beam, leading to a complete system of Hamiltonian equations which provide a set of particle trajectories and motion laws containing as a limiting case the ones encountered in classical Mechanics. Comment: The scientific content is unchanged. Abstract, Introduction and Conclusions were improved. The new version is given in 7 pages and double column and includes 6 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/0706.3102 |
| رقم الأكسشن: | edsarx.0706.3102 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |