Analytic Exact Forms of Heaviside and Dirac Delta Function
نویسندگان
چکیده
منابع مشابه
Robust second-order accurate discretizations of the multi-dimensional Heaviside and Dirac delta functions
We present a robust second-order accurate method for discretizing the multidimensional Heaviside and the Dirac delta functions on irregular domains. The method is robust in the following ways: (1) Integrations of source terms on a co-dimension one surface are independent of the underlying grid and therefore stable under perturbations of the domain’s boundary; (2) The method depends only on the ...
متن کاملDirac delta potential problem
We show that the N = 2 superextended 1D quantum Dirac delta potential problem is characterized by the hidden nonlinear su(2|2) superunitary symmetry. The supersymmetry admits three distinct Z2-gradings, that results in a separation of 16 integrals of motion into different sets of 8 bosonic and 8 fermionic operators generating two nonlinear, deformed forms of su(2|2), in which the Hamiltonian pl...
متن کاملEnergy Current with Multi–body Interaction using Dirac Delta Function
Energy density and energy flux was introduced along Takesue’s method. Particle energies were localized at particle positions using Dirac delta function. The energy density was connected with the energy flux by continuity equation. New method was proposed to deal with multi–body interaction. Consequently, the energy current between particles could be calculated even if the multi–body interaction...
متن کاملDecomposition of multivariate function using the Heaviside step function
Whereas the Dirac delta function introduced by P. A. M. Dirac in 1930 to develop his theory of quantum mechanics has been well studied, a not famous formula related to the delta function using the Heaviside step function in a single-variable form, also given by Dirac, has been poorly studied. Following Dirac's method, we demonstrate the decomposition of a multivariate function into a sum of int...
متن کاملDirac-Kähler fermions and exact lattice supersymmetry
We discuss a new approach to putting supersymmetric theories on the lattice. The basic idea is to start from a twisted formulation of the underlying supersymmetric theory in which the fermions are represented as grassmann valued antisymmetric tensor fields. The original supersymmetry algebra is replaced by a twisted algebra which contains a scalar nilpotent supercharge Q. Furthermore the action...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Dynamical Systems and Applications
سال: 2020
ISSN: 0974-021X,0973-5321
DOI: 10.37622/adsa/15.1.2020.115-121