Results 21 to 30 of about 437,825 (261)
Spherical Harmonics $Y_{l}^{m}(\theta,\phi)$: Positive and Negative Integer Representations of su(1,1) for l-m and l+m [PDF]
, 2016 The azimuthal and magnetic quantum numbers of spherical harmonics $Y_{l}^{m}(\theta,\phi)$ describe quantization corresponding to the magnitude and $z$-component of angular momentum operator in the framework of realization of $su(2)$ Lie algebra symmetry.
Fakhri, H.
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Birkhoff’s Theorem and Lie Symmetry Analysis
Journal of High Energy Physics, Gravitation and Cosmology, 2021 Three dimensional space is said to be spherically symmetric if it admits SO(3) as the group of isometries. Under this symmetry condition, the Einsteins Field equations for vacuum, yields the Schwarzschild Metric as the unique solution, which essentially is the statement of the well known Birkhoffs Theorem.
Mukherjee, Avijit, Roy, Subham B
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Complexity, 2020 In this paper, the (3 + 1)-dimensional generalized B-type Kadomtsev-Petviashvili(BKP) equation is studied applying Lie symmetry analysis. We apply the Lie symmetry method to the (3 + 1)-dimensional generalized BKP equation and derive its symmetry ...
Huizhang Yang, Wei Liu, Yunmei Zhao
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Lie symmetries and conserved quantities of fractional nonconservative singular systems
International Journal of Mechanical System Dynamics, 2023 In this paper, according to the fractional factor derivative method, we study the Lie symmetry theory of fractional nonconservative singular Lagrange systems in a configuration space.
Mingliang Zheng
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Symmetries and pre-metric electromagnetism [PDF]
, 2005 The equations of pre-metric electromagnetism are formulated as an exterior differential system on the bundle of exterior differential 2-forms over the spacetime manifold.
Bateman +30 more
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Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2021 In this paper, exact and numerical solutions of two dimensional time-fractional diffusion-reaction equation involving the Riemann-Liouville derivative are determined, by applying a procedure that combines the Lie symmetry analysis with the numerical ...
Alessandra Jannelli +1 more
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Gauging Lie group symmetry in (2+1)d topological phases
SciPost Physics, 2023 We present a general algebraic framework for gauging a 0-form compact, connected Lie group symmetry in (2+1)d topological phases. Starting from a symmetry fractionalization pattern of the Lie group $G$, we first extend $G$ to a larger symmetry group ...
Meng Cheng, Po-Shen Hsin, Chao-Ming Jian
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Invariant solutions and conservation laws of time-dependent negative-order (vnCBS) equation [PDF]
Journal of Mahani Mathematical ResearchWe apply the basic Lie symmetry method to investigate the time-dependent negative-order Calogero-Bogoyavlenskii-Schiff (vnCBS) equation. In this case, the symmetry classification problem is answered.
Yadollah AryaNejad, Asma Khalili
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Partial Differential Equations in Applied Mathematics, 2023 We consider a general class of systems of three partial differential equations and we provide restrictions on the form of Lie symmetry operators admitted by such systems. When these restrictions are known in advance, the symmetry analysis becomes simpler.
K. Charalambous +2 more
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Lie symmetries of a Painleve-type equation without Lie symmetries
Journal of Nonlinear Mathematical Physics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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