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Enhancing Superexchange through Frontier Orbital Engineering in a van der Waals Metal-Organic Magnet. [PDF]
Chem MaterPitcairn J +9 more
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Continuous electricity from charged total dissolved solids in wastewater using a wood-based ion-selective power generator. [PDF]
Nat CommunYan W +15 more
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Experimental Exchange Interaction Dataset for Magnetic Materials: Spin Waves to MC Simulations. [PDF]
Sci DataAlaei M, Mosleh Z, Rezaei N, Oganov AR.
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Magnon damping as a probe of Kondo coupling in magnetically ordered systems. [PDF]
Nat CommunBao S +15 more
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ON THE QUADRATIC HEISENBERG GROUP
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2010In this paper we introduce the quadratic Weyl operators canonically associated to the one mode renormalized square of white noise (RSWN) algebra as unitary operator acting on the one mode interacting Fock space {Γ, {ωn, n ∈ ℕ}, Φ} where {ωn, n ∈ ℕ} is the principal Jacobi sequence of the nonstandard (i.e. neither Gaussian nor Poisson) Meixner classes.
ACCARDI, LUIGI, Ouerdiane, H, Rebei, H.
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Geodesics in Heisenberg Groups
Geometriae Dedicata, 1997For the Heisenberg group \(H^{2n+1}\) the author defines a left-invariant metric and computes the Levi-Civita connection and the curvature tensor. He also determines the isotropy subgroup \( \text{Iso}_0(H^{2n+1}) \). Then, equations for geodesics in \(H^{2n+1}\) are given which simplify considerably for ``horizontal'' lines.
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1997
Abstract The Heisenberg group is a nilpotent Lie group ‒ or rather a family of Lie groups, one for each odd dimension ≥ 3 ‒ which have many features in common with Euclidean spaces.
Guy David, Stephen Semmes
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Abstract The Heisenberg group is a nilpotent Lie group ‒ or rather a family of Lie groups, one for each odd dimension ≥ 3 ‒ which have many features in common with Euclidean spaces.
Guy David, Stephen Semmes
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2015
This chapter is meant to give a brief and by no means complete description of the Heisenberg group \(\mathbb {H}\), that will be the setting of this work. Customarily this group is presented as a particular group on \(\mathbb {R}^3\). This is not restrictive and to explain why we recall some definitions and basic properties of Carnot groups in order to
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This chapter is meant to give a brief and by no means complete description of the Heisenberg group \(\mathbb {H}\), that will be the setting of this work. Customarily this group is presented as a particular group on \(\mathbb {R}^3\). This is not restrictive and to explain why we recall some definitions and basic properties of Carnot groups in order to
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2014
In this chapter we prove the Stone-von Neumann Theorem, which gives a full characterization of the unitary dual of the Heisenberg group \({\cal H}\). We then apply the trace formula to describe the spectral decomposition of \({L^2}(\Lambda \backslash H)\), where π is the standard integer lattice in \({\cal H}\).
Anton Deitmar, Siegfried Echterhoff
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In this chapter we prove the Stone-von Neumann Theorem, which gives a full characterization of the unitary dual of the Heisenberg group \({\cal H}\). We then apply the trace formula to describe the spectral decomposition of \({L^2}(\Lambda \backslash H)\), where π is the standard integer lattice in \({\cal H}\).
Anton Deitmar, Siegfried Echterhoff
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