搜索结果: 1-15 共查到“物理学 Algebraic”相关记录33条 . 查询时间(0.187 秒)
Lie-algebraic interpretation of the maximal superintegrability and exact solvability of the Coulomb-Rosochatius potential in n dimensions
Lie-algebraic interpretation the Coulomb-Rosochatius n dimensions Mathematical Physics
2011/9/20
Abstract: The potential group method is applied to the n-dimensional Coulomb-Rosochatius potential, whose bound states and scattering states are worked out in detail. As far as scattering is concerned...
A construction of algebraic surfaces with many real nodes
singularities of surfaces real algebraic geometry Algebraic Geometry
2011/9/14
Abstract: A family of algebraic surfaces with many nondegenerate real singularities is introduced with the help of a construction that has been used in previous works for the generation of substitutio...
Lie-algebraic structure of 2D harmonic oscillator with non-separable complex coupling
Lie-algebra Non-Hermitian quantum mechanics PT-symmetry Multidimensional models Harmonic oscillator Exactly solvable
2011/10/8
Abstract: Using SU(2)X SU(2) Lie-group structure we obtain the algebraization of 2D harmonic oscillator model with complex quadratic coupling. It is shown that the original time-independent Schr\"odin...
Revisiting special relativity: A natural algebraic alternative to Minkowski spacetime
Special Relativity Geometric algebra Clifford algebra Lorentz transformation
2011/7/28
Revisiting special relativity: A natural algebraic alternative to Minkowski spacetime.
Revisiting special relativity: A natural algebraic alternative to Minkowski spacetime
Special Relativity, Geometric algebra, Clifford algebra, Lorentz transformation,Minkowski
2011/9/2
Minkowski famously introduced the concept of a space-time continuum in 1908, merging three dimensional space with an imaginary time dimension represented by ict, a framework which naturally produced t...
Super Distributions, Analytic and Algebraic Super Harish-Chandra pairs
Super Distributions Analytic Algebraic Super Harish-Chandra pairs
2011/7/27
Abstract: The purpose of this paper is to extend the theory of Super Harish-Chandra pairs, originally developed by Koszul for Lie supergroups, to analytic and algebraic supergroups, in order to obtain...
A simple algebraic global isometric embedding is presented for the nonrotating BTZ black hole and its counterpart of Euclidean signature. The image of the embedding, in Minkowski space of two extra d...
Algebraic classification of spacetimes using discriminating scalar curvature invariants
Algebraic classification of spacetimes discriminating scalar curvature invariants
2010/12/27
The Weyl and Ricci tensors can be algebraically classified in a Lorentzian spacetime of arbitrary dimensions using alignment theory. Used in tandem with the boost weight decomposition and curvature op...
A simple algebraic global isometric embedding is presented for the nonrotating BTZ black hole and its counterpart of Euclidean signature. The image of the em-bedding, inMinkowski space of two extra di...
Algebraic classification of spacetimes using discriminating scalar curvature invariants
Algebraic classification of spacetimes discriminating scalar curvature invariants
2010/12/20
The Weyl tensor and the Ricci tensor can be algebraically classi ed in a Lorentzian spacetime of arbitrary dimensions using alignment the-ory. Used in tandem with the boost weight decomposition and cu...
Solution of the Bosonic and Algebraic Hamiltonians by using AIM
Asymptotic Iteration Method Analytical solution Boson Hamiltonian
2010/10/21
We apply the notion of asymptotic iteration method (AIM) to determine eigenvalues of the
bosonic Hamiltonians that include a wide class of quantum optical models. We consider solutions
of the Hamilt...
Contractions of quantum algebraic structures
quantum algebraic structures centrally extended algebras
2010/4/2
A general framework for obtaining certain types of contracted and centrally extended algebras is presented. The whole process relies on the existence of quadratic algebras, which appear in the context...
The Lie Algebraic Significance of Symmetric Informationally Complete Measurements
symmetric informationally complete positive operator valued measures finite dimensions
2010/3/10
Examples of symmetric informationally complete positive operator valued measures (SIC-POVMs) have been constructed in every dimension less than or equal to 67. However, it remains an open question whe...
Lie algebraic analysis and simulation of high-current pulsed beam transport in a solenoidal lens
solenoidal lens Lie algebraic space charge effect nonlinearity
2009/12/24
Recent calculations of the transport of a high-current beam in a solenoidal lens have made progress to the second order with the Lie algebraic method. A review of the theory and our simulation to rea...
The Algebraic Measure of a Hidden Markov Quantum Memory Channel
Algebraic a Hidden Markov Quantum Memory Channel
2010/4/8
This paper was presented in poster form at and in the proceedings of the QCMC 2008. It is a summary of a fuller paper to appear separately. The classical product state capacity of a noisy quantum chan...