Results 11 to 20 of about 1,157 (152)
The Harmonic Oscillator on the Heisenberg Group
Comptes Rendus. Mathématique, 2020 In this note we present a notion of harmonic oscillator on the Heisenberg group $\mathbf{H}_n$ which forms the natural analogue of the harmonic oscillator on $\mathbb{R}^n$ under a few reasonable assumptions: the harmonic oscillator on $\mathbf{H}_n ...
Rottensteiner, David, Ruzhansky, Michael
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Phase diagram of a distorted kagome antiferromagnet and application to Y-kapellasite
npj Computational Materials, 2022 We investigate the magnetism of a previously unexplored distorted spin-1/2 kagome model consisting of three symmetry-inequivalent nearest-neighbor antiferromagnetic Heisenberg couplings J ⬡, J, and $$J^{\prime}$$ J ′ , and uncover a rich ground state ...
Max Hering +6 more
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Multi-fixed point numerical conformal bootstrap: a case study with structured global symmetry
Journal of High Energy Physics, 2021 In large part, the future utility of modern numerical conformal bootstrap depends on its ability to accurately predict the existence of hitherto unknown non-trivial conformal field theories (CFTs). Here we investigate the extent to which this is possible
Matthew T. Dowens, Chris A. Hooley
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Dual Lie algebras of Heisenberg Poisson Lie groups
Tsukuba Journal of Mathematics, 1993 Starting point is an arbitrary Heisenberg Lie algebra \(L\) \(([L,L] = Z(L)\) with one-dimensional center \(Z(L)\)) and the set of its multiplicative Poisson structures. The authors study the dual Lie algebras induced on \(L\) by these structures.
Mikami, Kentaro, Narita, Fumio
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A Safety Study for Dynamical Systems on Heisenberg Lie Group of dimension 4 [PDF]
Modeling, Identification and ControlThe safety property of dynamical systems has typically been studied in Euclidean spaces. In this work, we extend the notion of safety to a non-Euclidean geometry.
Sultan Selcuk Sutlu +3 more
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Group theoretic approach to many-body scar states in fermionic lattice models
Physical Review Research, 2021 It has been shown [K. Pakrouski et al., Phys. Rev. Lett. 125, 230602 (2020)PRLTAO0031-900710.1103/PhysRevLett.125.230602] that three families of highly symmetric states are many-body scars for any spin-1/2 fermionic Hamiltonian of the form H_{0}+OT ...
K. Pakrouski +3 more
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Existence results to a Leray–Lions type problem on the Heisenberg Lie groups
Boundary Value Problems, 2022 Abstract Here, the existence and multiplicity of weak solutions to a generalized $(p(\cdot ),q(\cdot ))$ ( p ( ⋅
A. Razani, F. Safari
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Complete classification of homogeneous structures on Lorentzian direct extensions of the Heisenberg group [PDF]
ریاضی و جامعهThe Heisenberg Lie group is one of the most famous and important Lie groups among the family of three dimensional Lie groups. The direct extension of this group to the fourth dimension was taken into consideration in the study of the nilpotent Lie ...
Amirhesam Zaeim +2 more
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Poisson-Lie analogues of spin Sutherland models
Nuclear Physics B, 2019 We present generalizations of the well-known trigonometric spin Sutherland models, which were derived by Hamiltonian reduction of ‘free motion’ on cotangent bundles of compact simple Lie groups based on the conjugation action.
L. Fehér
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Noncommutative spaces of worldlines
Physics Letters B, 2019 The space of time-like geodesics on Minkowski spacetime is constructed as a coset space of the Poincaré group in (3+1) dimensions with respect to the stabilizer of a worldline.
Angel Ballesteros +2 more
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