Results 1 to 10 of about 178,877 (207)
Uncertainty relations on nilpotent Lie groups. [PDF]
Proc Math Phys Eng Sci, 2017 We give relations between main operators of quantum mechanics on one of most general classes of nilpotent Lie groups. Namely, we show relations between momentum and position operators as well as Euler and Coulomb potential operators on homogeneous groups. Homogeneous group analogues of some well-known inequalities such as Hardy's inequality, Heisenberg–
Ruzhansky M, Suragan D.
europepmc +11 more sources
ON UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS. [PDF]
Proc Natl Acad Sci U S A, 1957 In dieser Arbeit werden die hauptsächlichen Ergebnisse der nachfolgend referierten Arbeit angekündigt [vgl. Bull. Math. Soc. Fr. 85, 325--388 (1957; Zbl 0085.10303)].
Dixmier J.
europepmc +6 more sources
Approximate lattices and Meyer sets in nilpotent Lie groups [PDF]
Discrete Analysis, 2020 Approximate lattices and Meyer sets in nilpotent Lie groups, Discrete Analysis 2020:1, 18 pp. A central result in additive combinatorics, Freiman's theorem, describes the structure of any finite set $A$ of integers with the property that its sumset $A+A$
Simon Machado
doaj +2 more sources
Einstein nilpotent Lie groups [PDF]
Journal of Pure and Applied Algebra, 2019 We study the Ricci tensor of left-invariant pseudoriemannian metrics on Lie groups. For an appropriate class of Lie groups that contains nilpotent Lie groups, we introduce a variety with a natural $\mathrm{GL}(n,\mathbb{R})$ action, whose orbits parametrize Lie groups with a left-invariant metric; we show that the Ricci operator can be identified with ...
Conti, D, Rossi, FA
openaire +5 more sources
Construction of Nilpotent and Solvable Lie Algebra in Picture Fuzzy Environment [PDF]
Int J Comput Intell Syst, 2023 The picture fuzzy set was introduced by Coung. It is a generalization of the intuitionistic fuzzy set, giving the notion of neutral membership degrees along with the positive and negative ones.
Kousar S, Arshad S, Kausar N, Hong T.
europepmc +2 more sources
Quantization on Nilpotent Lie Groups [PDF]
, 2016 Topological Groups, Lie Groups; Abstract Harmonic Analysis; Functional Analysis; Mathematical ...
Ruzhansky, M, Fischer, V
openaire +7 more sources
Symplectic Foliation Structures of Non-Equilibrium Thermodynamics as Dissipation Model: Application to Metriplectic Nonlinear Lindblad Quantum Master Equation. [PDF]
Entropy (Basel), 2022 The idea of a canonical ensemble from Gibbs has been extended by Jean-Marie Souriau for a symplectic manifold where a Lie group has a Hamiltonian action.
Barbaresco F.
europepmc +2 more sources
Extremal Curves in Nilpotent Lie Groups [PDF]
Geometric and Functional Analysis, 2013 We classify extremal curves in free nilpotent Lie groups. The classification is obtained via an explicit integration of the adjoint equation in Pontryagin Maximum Principle. It turns out that abnormal extremals are precisely the horizontal curves contained in algebraic varieties of a specific type. We also extend the results to the nonfree case.
E. Le Donne +3 more
openaire +8 more sources
Commutators associated with Schrödinger operators on the nilpotent Lie group. [PDF]
J Inequal Appl, 2017 Assume that G is a nilpotent Lie group. Denote by L = − Δ + W $L=-\Delta +W $ the Schrödinger operator on G, where Δ is the sub-Laplacian, the nonnegative potential W belongs to the reverse Hölder class B q 1 $B_{q_{1}}$ for some q 1 ≥ D 2 $q_{1} \geq ...
Ni T, Liu Y.
europepmc +2 more sources
Filling invariants of stratified nilpotent Lie groups [PDF]
Mathematische Zeitschrift, 2018 v3: Title changed, content significantly ...
Moritz Gruber
openaire +4 more sources