Results 1 - 10 of 6029
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[en] An algorithmic approach to diagram techniques of elementary particles is proposed. The definition and axiomatics of the theory of algorithms are presented, followed by the list of instructions of an algorithm formalizing the construction of graphs and the assignment of mathematical objects to them. (T.A.)
[en] In the formalism of Petiau-Duffin-Kemmer two simple differential equations of the first order for the function of one component and one of 4 components are discussed. These equations describe a particle of spin ''0''
[fr]Dans le formalisme de Petiau-Duffin-Kemmer deux simples equations differentielles du premier ordre, pour une fonction a une composante et pour une fonction a quatre composantes sont discutees. Ces equations decrivent une particule de spin ''0''
[en] The graphical method to find the energy-eigen values for a particle in a one-dimensional rectangular potential well, as described in text books on quantum mechanics, normally consists of finding points of intersection of circular arcs with curves like (theta tan theta) vs (theta) and (-theta cot theta) vs (theta). A simpler but little-known method, which requires the use of only sine curve and straight lines, is discussed here. It is also observed that a plot of Esub(n)/Vsub(0) vs (hsup(2/8) sup(2)mVsub(0)asup(2))sup(1/2) for a given n, is linear, where Vsub(0) is the depth of the potential well, a is the half-width, m is the mass of the particle and Esub(n) is the nth energy level. (author)
[en] A new form of the differential equation of first order for particles of spin ''1'' and non-zero mass is proposed. This equation is based on the irreductible representation realised by 3 matrices of Petiau-Duffin-Kemmer of rank 4
[fr]On propose une formulation nouvelle de l'equation differentielle du premier ordre pour des particules de masse non nulle et de spin ''1'', basee sur la representation irreductible realisee par les 3 matrices de Petiau-Duffin-Kemmer du rang 4
[en] We present particle algebras whose representations correspond to states having at most p particles. For p = 1, the algebra corresponds to fermions. For p = 2, 3, 4, ..., the algebra corresponds to the orthofermion algebra Cp with a new interpretation