Results 21 to 30 of about 446 (44)
Remarks on l-conformal extension of the Newton-Hooke algebra
The l-conformal extension of the Newton-Hooke algebra proposed in [J. Math. Phys. 38 (1997) 3810] is formulated in the basis in which the flat space limit is unambiguous. Admissible central charges are specified.
Alishahiha +22 more
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Noncommutative tori and universal sets of non-binary quantum gates
A problem of universality in simulation of evolution of quantum system and in theory of quantum computations is related with the possibility of expression or approximation of arbitrary unitary transformation by composition of specific unitary ...
Alexander Yu. Vlasov, Vlasov A. Y.
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Casimir operators of centrally extended l-conformal Galilei algebra [PDF]
The full set of Casimir elements of the centrally extended l-conformal Galilei algebra is found in simple and tractable form.Comment: 5 ...
Dziggel, Annika +2 more
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On the Quantization of the Charge-Mass Ratio
The paper deals with the problem of describing fundamental particles. The Einstein-Rosen approach was revisited to explain que charge-mass ratio quantization.
Ulhoa, S. C.
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Degenerate Odd Poisson Bracket on Grassmann Variables [PDF]
A linear degenerate odd Poisson bracket (antibracket) realized solely on Grassmann variables is presented. It is revealed that this bracket has at once three nilpotent $\Delta$-like differential operators of the first, the second and the third orders ...
A. P. Nersessian +23 more
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Dynamical Ambiguities in Singular Gravitational Field
We consider particle dynamics in singular gravitational field. In 2d spacetime the system splits into two independent gravitational systems without singularity.
George Jorjadze +7 more
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Coherent states for the q-deformed quantum mechanics on a circle
The q-deformed coherent states for a quantum particle on a circle are introduced and their properties investigated.Comment: 11 pages, 2 PostScript ...
Ashtekar A +9 more
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Gauge theories with graded differential Lie algebras [PDF]
We present a mathematical framework of gauge theories that is based upon a skew-adjoint Lie algebra and a generalized Dirac operator, both acting on a Hilbert space.Comment: 10 pages, LaTeX2e, extended version (references and comments on the ...
Wulkenhaar, Raimar
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We apply the Schr\"odinger factorization to construct the ladder operators for hydrogen atom, Mie-type potential, harmonic oscillator and pseudo-harmonic oscillator in arbitrary dimensions.
Adams B G +15 more
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On N-wave type systems and their gauge equivalent
The class of nonlinear evolution equations - gauge equivalent to the N-wave equations related to the simple Lie algebra g are derived and analyzed. They are written in terms of the functions S(x,t) satisfying r= rank g nonlinear constraints.
Gerdjikov, Vladimir S. +2 more
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