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$κ$-Deformation and Spectral Triples
$κ$-Deformation Spectral Triples Mathematical Physics
2011/9/14
Abstract: The aim of the paper is to answer the following question: does $\kappa$-deformation fit into the framework of noncommutative geometry in the sense of spectral triples? Using a compactificati...
Deformation Expression for Elements of Algebras (III) --Generic product formula for *-exponentials of quadratic forms--
Weyl algebra Heisenberg Lie algebra meta-plectic groups spinor polar elements
2011/9/5
Abstract: In a noncommutative algebra there is no canonical way to express elements in univalent way, which is often called "ordering problem". In this note we give product formula of the Weyl algebra...
Metric deformation and eigenvalue problem in 2D for an irregular boundary
Metric deformation eigenvalue problem irregular boundary Quantum Physics
2011/7/28
Abstract: We prescribe a new formulation for solving the Helmholtz equation in 2D with irregular boundary. A suitable diffeomorphism is used to annul the asymmetries in the boundary by mapping it into...
Eigenvalue equation for a 1--D Hamilton function in deformation quantization
1--D Hamilton Eigenvalue equation deformation quantization
2011/7/25
Abstract: The choice of coordinates: time and energy as the most convenient for an eigenvalue equation for a 1--D nonrelativistic Hamiltonian in frames of deformation quantization has been proposed. A...
An Extension of Mapping Deformation Method and New Exact Solution for Three Coupled Nonlinear Partial
Differential Equations
coupled nonlinear partial differential equations cubic nonlinear Klein-Gordon equation exact solution
2007/8/15
2003Vol.39No.4pp.395-400DOI:
An Extension of Mapping Deformation Method and New Exact Solution for Three Coupled Nonlinear Partial
Differential Equations
LI Hua-Mei
Col...
Applications of Extended Mapping Deformation Method in Two (3+1)-Dimensional Nonlinear Models
(3+1)-dimensional JM equation (3+1)-dimensional KP equation travelling wave
solution
2007/8/15
2005Vol.43No.5pp.775-780DOI:
Applications of Extended Mapping Deformation Method in Two (3+1)-Dimensional Nonlinear Models
HUANG Wen-Hua,1,2 ZHANG Jie-Fang,2,3 and GE Wei-Kuan1
...