Results 61 to 70 of about 1,824,364 (240)
Spectral theory for non-unitary twists
, 2018 Let $G$ be a Lie-group and $\Ga\subset G$ a cocompact lattice. For a finite-dimensional, not necessarily unitary representation $\om$ of $\Ga$ we show that the $G$-representation on $L^2(\Ga\bs G,\om)$ admits a complete filtration with irreducible ...
Deitmar, Anton
core +1 more source
A Refinement of the Ray-Singer Torsion [PDF]
, 2005 This is a short version of math.DG/0505537. For an acyclic representation of the fundamental group of a compact oriented odd-dimensional manifold, which is close enough to a unitary representation, we define a refinement of the Ray-Singer torsion ...
Braverman, Maxim, Kappeler, Thomas
core +4 more sources
Quantum Gowdy T3 model: Schrödinger representation with unitary dynamics [PDF]
, 2007 The linearly polarized Gowdy T{sup 3} model is paradigmatic for studying technical and conceptual issues in the quest for a quantum theory of gravity since, after a suitable and almost complete gauge fixing, it becomes an exactly soluble midisuperspace ...
Alejandro Corichi +3 more
semanticscholar +1 more source
g-frame generator sets for projective unitary representations
AIMS MathematicsFrames with special structures play a crucial role in various industrial applications, such as medical imaging, quantum communication, recognition and identification software, and so on.
Aifang Liu, Jian Wu
doaj +1 more source
On the Connection between Spherical Laplace Transform and Non-Euclidean Fourier Analysis
Mathematics, 2020 We prove that, if the coefficients of a Fourier−Legendre expansion satisfy a suitable Hausdorff-type condition, then the series converges to a function which admits a holomorphic extension to a cut-plane. Next, we introduce a Laplace-type transform
Enrico De Micheli
doaj +1 more source
On the image of the Lawrence-Krammer representation
, 2005 A non-singular sesquilinear form is constructed that is preserved by the Lawrence-Krammer representation. It is shown that if the polynomial variables q and t of the Lawrence-Krammer representation are chosen to be appropriate algebraically independant ...
Budney, Ryan
core +1 more source
Remarks on the Representation Theory of the Moyal Plane
Advances in Mathematical Physics, 2011 We present an explicit construction of a unitary representation of the commutator algebra satisfied by position and momentum operators on the Moyal plane.
J. M. Isidro +3 more
doaj +1 more source
Entanglement Structure of the Adjoint Representation of the Unitary Group and Tomography of Quantum States [PDF]
, 2003 The density matrix of composite spin system is discussed in relation to the adjoint representation of unitary group $U(n)$. The entanglement structure is introduced as an additional ingredient to the description of the linear space carrying the adjoint ...
V. Man'ko +3 more
semanticscholar +1 more source
Entropy, 2019 The evolution of an open system is usually associated with the interaction of the system with an environment. A new method to study the open-type system evolution of a qubit (two-level atom) state is established. This evolution is determined by a unitary
Julio A. López-Saldívar +3 more
doaj +1 more source
$Q$-representations and unitary representations of the super-Heisenberg group and harmonic superanalysis [PDF]
, 2014 We juxtapose two approaches to the representations of the super-Heisenberg group. Physical one, sometimes called concrete approach, based on the super-wave functions depending on the anti-commuting variables, yielding the harmonic superanalysis and recently developed strict theory of unitary representations of the nilpotent super Lie groups covering ...
arxiv +1 more source