Results 211 to 220 of about 15,120 (245)
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Quantization on spacetime hyperboloids
Annals of Physics, 1974Abstract A quantization scheme which specifies commutation relations on spacetime hyperboloids is examined and shown to lead to a Fock space different from the usual one. Nevertheless the theories are shown to be physically equivalent if properly interpreted.
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Separation of series for hyperboloids
Functional Analysis and Its Applications, 1997By \textit{I. M. Gelfand} and \textit{S. G. Gindikin} [Funkt. Anal. Appl. 11, 258-265 (1978); translation from Funkts. Anal. Prilozh. 11, 19-27 (1978; Zbl 0449.22018)] a program for developing harmonic analysis on homogeneous spaces \(G/H\) was proposed (the so-called Gelfand-Gindikin program). The first step of this program is to decompose \(L^2(G/H)\)
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THE VORTEX GAS ON THE HYPERBOLOID
Modern Physics Letters B, 1991Using the result that the vortices of the XY model are described by the Coulomb gas, which in turn can be represented by the sine-Gordon theory; we analytically obtain, to first order, the relation between the correlation length, temperature, and radius of curvature, for the theory on the hyperboloid.
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Radon problems for hyperboloids
Russian Universities Reports. Mathematics, 2019We offer a variant of Radon transforms for a pair X and Y of hyperboloids in R^3 defined by [x,x] = 1 and [y,y] = -1, y_1 ≥ 1, respectively, here [x,y] = -x_1 y_1+x_2 y_2+x_3 y_3. For a kernel of these transforms we take δ([x,y]), δ(t) being the Dirac delta function. We obtain two Radon transforms D(X) →C^∞ (Y) and D(Y) →C^∞ (X). We describe kernels and
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The Orthogonality of the Hyperboloid Functions
Journal of Mathematics and Physics, 1954openaire +1 more source
Flexibility of curves on a single-sheet hyperboloid
Journal of Engineering Mathematics, 2020Miroslav D Maksimovic
exaly