Results 21 to 30 of about 9,646,935 (229)
On the Solution of the Schrödinger Equation with Position-Dependent Mass
Universe, 2020 We have considered the Iwasawa and Gauss decompositions for the Lie group SL(2,R). According to these decompositions, the Casimir operators of the group and the Hamiltonians with position-dependent mass were expressed.
Mehmet Sezgin
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Pro-Lie Groups: A Survey with Open Problems
Axioms, 2015 A topological group is called a pro-Lie group if it is isomorphic to a closed subgroup of a product of finite-dimensional real Lie groups. This class of groups is closed under the formation of arbitrary products and closed subgroups and forms a complete ...
Karl H. Hofmann, Sidney A. Morris
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Computing Bi-Invariant Pseudo-Metrics on Lie Groups for Consistent Statistics
Entropy, 2015 In computational anatomy, organ’s shapes are often modeled as deformations of a reference shape, i.e., as elements of a Lie group. To analyze the variability of the human anatomy in this framework, we need to perform statistics on Lie groups. A Lie group
Nina Miolane, Xavier Pennec
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The Method of Insulator Defect Recognition Based on Group Theory
IEEE Access, 2021 The auto insulator defect recognition method is more efficient and reliable than manual method, and it has lots of application. The paper presents an insulator recognition method, and meanwhile it attempts to explore the intrinsic characteristics among ...
Changjian Deng
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Contact and almost contact structures on the real extension of the Lobachevsky plane
Учёные записки Казанского университета: Серия Физико-математические науки, 2021 In this article, we propose a group model G of a real extension of the Lobachevsky plane H2 × R . The group G is a Lie group of special-form matrices and a subgroup of the general linear group GL(3, R).
V.I. Pan’zhenskii, A.O. Rastrepina
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Hamilton-Pontryagin Integrators on Lie Groups [PDF]
, 2007 In this thesis structure-preserving time integrators for mechanical systems whose configuration space is a Lie group are derived from a Hamilton-Pontryagin (HP) variational principle.
Bou-Rabee, Nawaf Mohammed
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Einstein warped product spaces on Lie groups
Cubo, 2022 We consider a compact Lie group with bi-invariant metric, coming from the Killing form. In this paper, we study Einstein warped product space, $M = M_1 \times_{f_1} M_2$ for the cases, $(i)$ $M_1$ is a Lie group $(ii)$ $M_2$ is a Lie group and $(iii ...
Buddhadev Pal +2 more
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On the Classification of Automorphic Lie Algebras [PDF]
, 2009 The problem of reduction of integrable equations can be formulated in a uniform way using the theory of invariants. This provides a powerful tool of analysis and it opens the road to new applications of Automorphic Lie Algebras, beyond the context of ...
Sanders, Jan +7 more
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Jacobi–Lie symmetry and Jacobi–Lie T-dual sigma models on group manifolds
Nuclear Physics B, 2018 Using the concept of Jacobi–Lie group and Jacobi–Lie bialgebra, we generalize the definition of Poisson–Lie symmetry to Jacobi–Lie symmetry. In this regard, we generalize the concept of Poisson–Lie T-duality to Jacobi–Lie T-duality and present Jacobi–Lie
A. Rezaei-Aghdam, M. Sephid
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Controllabilty and stability analysis on a group associated with Black-Scholes equation [PDF]
Archives of Control Sciences, 2020 In this paper we have studied the driftless control system on a Lie group which arises due to the invariance of Black-Scholes equation by conformal transformations.
Archana, Tiwari +2 more
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