Results 201 to 210 of about 14,983 (246)

QUANTUM MECHANICS ON HYPERBOLOIDS

Reviews in Mathematical Physics, 1994
We consider a quantum theory on hyperboloids, a theory whose symmetry group is the homogeneous Lorentz group and with Schrödinger theory as its nonrelativistic analogue. The Poincaré group is a good approximate symmetry of the scattering matrix.
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SPHERICAL FUNCTIONS ON HYPERBOLOIDS

Mathematics of the USSR-Sbornik, 1976
Spherical (zonal) functions on the hyperboloid corresponding to unitary representations of the group connected with a cone (MR 42 #421) are defined and computed. Bibliography: 15 titles.
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Hyperboloid Monotron

2022 International Conference on Actual Problems of Electron Devices Engineering (APEDE), 2022
V.K. Fedyaev, O.A. Gorlin, M.V. Levitas
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Stability of Hyperboloidal Shells

Journal of the Structural Division, 1975
An analytical and experimental investigation was carried out to determine the buckling loads of hyperboloidal shells with different geometries subjected to the axisymmetric loadings of external pressure and axial compression. Sander's thin shell equations were used in conjunction with the finite element method to determine the bifurcation buckling load
Daniel R. Veronda, Victor I. Weingarten
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Distribution of Lattice Points on Hyperboloids

Journal of Mathematical Sciences, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Quantization on spacetime hyperboloids

Annals of Physics, 1974
Abstract 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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Canonical Representations and Overgroups for Hyperboloids

Functional Analysis and Its Applications, 2005
Let \(G\) be the group \(\text{SO}_{0}(p,q)\), i.e., the identity component of the linear transformations of \(\mathbb{R}^n\), \(n=p+q\), preserving the bilinear form: \[ [x,y]=-x_{1}y_{1}-\dots -x_{p}y_{p}+x_{p+1}y_{p+1}+\dots +x_{n}y_{n}. \] In the paper under review the author studies the representations of \(G\) associated with the hyperboloid \(G ...
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Across the mass hyperboloid

Journal of Mathematical Physics, 2020
This paper is another step in our pursuit of nonperturbative Minkowskian quantum field theory. Instead of studying the Schwinger functions arising from the Euclidean approach, we study the Wightman distributions directly. We use the non-rigorous Feynman integral for a given quantum field theory as a guide for the rigorous definition of the ...
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Hyperboloidal Pneumatic Artificial Muscle

The Proceedings of JSME annual Conference on Robotics and Mechatronics (Robomec), 2022
Masahiro WATANABE, Kazuki ABE, Kenjiro TADAKUMA, Masashi KONYO, Satoshi TADOKORO   +4 more
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Radon problems for hyperboloids

Russian Universities Reports. Mathematics, 2019
We 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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