Split-complex numbers and Dirac <i>bra-kets</i>
نویسندگان
چکیده
منابع مشابه
Observables, operators, and complex numbers in the Dirac theory
The geometric formulation of the Dirac theory with spacetime algebra is shown to be equivalent to the usual matrix formalism. Imaginary numbers in the Dirac theory are shown to be related to the spin tensor. The relation of observables to operators and the wavefunction is analyzed in detail and compared with some purportedly general principles of quantum mechanics. An exact formulation of Larmo...
متن کاملGeneralized Split Graphs and Ramsey Numbers
A graph G is called a ( p, q)-split graph if its vertex set can be partitioned into A, B so that the order of the largest independent set in A is at most p and the order of the largest complete subgraph in B is at most q. Applying a well-known theorem of Erdo s and Rado for 2-systems, it is shown that for fixed p, q, ( p, q)-split graphs can be characterized by excluding a finite set of forbidd...
متن کاملAn algorithm for multiplication of Dirac numbers
Abstract: In this work a rationalized algorithm for Dirac numbers multiplication is presented. This algorithm has a low computational complexity feature and is well suited to parallelization of computations. The computation of two Dirac numbers product using the naïve method takes 256 real multiplications and 240 real additions, while the proposed algorithm can compute the same result in only 1...
متن کاملAnti-Ramsey numbers in complete split graphs
A subgraph of an edge-coloured graph is rainbow if all of its edges have different colours. For graphs G and H the anti-Ramsey number ar(G,H) is the maximum number of colours in an edge-colouring of G with no rainbow copy of H. The notion was introduced by Erdős, Simonovits and V. Sós and studied in case G = Kn. Afterwards exact values or bounds for anti-Ramsey numbers ar(Kn, H) were establishe...
متن کاملComplex Numbers and Exponentials
respectively. It is conventional to use the notation x+iy (or in electrical engineering country x+jy) to stand for the complex number (x, y). In other words, it is conventional to write x in place of (x, 0) and i in place of (0, 1). In this notation, the sum and product of two complex numbers z1 = x1 + iy1 and z2 = x2 + iy2 is given by z1 + z2 = (x1 + x2) + i(y1 + y2) z1z2 = x1x2 − y1y2 + i(x1y...
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: Communications in Information and Systems
سال: 2014
ISSN: 1526-7555,2163-4548
DOI: 10.4310/cis.2014.v14.n3.a1