Multiplications of Distributions in one dimension and a First Application to Quantum Field Theory
نویسنده
چکیده
In a previous paper we have introduced a class of multiplications of distributions in one dimension. Here we furnish different generalizations of the original definition and we discuss some applications of these procedures to the multiplication of delta functions and to quantum field theory. Résumé Nous avons introduit dans une publication précédente une classe de multiplications entre distributions à une dimension. Nous donnons ici des généralisations différentes des définitions originelles et nous discutons des applications de ces méthodes à la multiplication des functions delta et à la théorie quantique des champs.
منابع مشابه
اثرات بس ذرهای در مایعات الکترونی ابعاد کم
This review article is about the role of electron-electron interactions in low dimensional systems and its transport properties in nano-structures. It begins with a review of the pair-distribution function theory of electron liquid systems taking into account the electron-electron interactions. We extend the theory for highly correlated system such two- and one-dimensional electron liquids. We...
متن کاملThe effect of first order magnetic field in a GaAs/AlAs spherical quantum dot with hydrogenic impurity
In this research, the effect of the first order magnetic field on the ground-state of a centered hydrogenic donor impurity in a GaAs/AlAs spherical quantum dot has been calculated. The perturbation method has been used within the framework of effective mass approximation for these calculations. Overall, the analysis shows that a proper choice of quantum dot radius and magnetic field can signifi...
متن کاملThe effect of first order magnetic field in a GaAs/AlAs spherical quantum dot with hydrogenic impurity
In this research, the effect of the first order magnetic field on the ground-state of a centered hydrogenic donor impurity in a GaAs/AlAs spherical quantum dot has been calculated. The perturbation method has been used within the framework of effective mass approximation for these calculations. Overall, the analysis shows that a proper choice of quantum dot radius and magnetic field can signifi...
متن کاملMultiplication of Distributions in one dimension: possible approaches and applications to δ-function and its derivatives
We introduce a new class of multiplications of distributions in one dimension merging together two different regularizations of distributions. Some of the features of these multiplications are discussed in a certain detail. We use our theory to study a certain number of examples, involving products between Dirac delta functions and its successive derivatives.
متن کاملExploring the implications of the laws and principles of quantum physics in the field of talent (quantum theory of talent)
The issue of talent-discovering is one of the most important issues in the field of education and research that has always been a concern for educational systems. Studying the issues of identifying and guiding talented students can illuminate a large part of the activities of the executors and practitioners in order to accomplish their mission effectively. On the other hand, quantum physics has...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2009