Results 71 to 80 of about 1,209 (160)
q-Deforming Maps for Lie Group Covariant Heisenberg Algebras
We briefly summarize our systematic construction procedure of q-deforming maps for Lie group covariant Weyl or Clifford algebras.
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A neuro‐behavioural model of neophobia
ABSTRACT Fear can be defined as the internal neurological state that releases a repertoire of behaviours an animal performs to reduce the effect of an aversive factor. Neophobia, the fear of novelty, is a fundamental behavioural trait observed across a wide range of species from arthropods to humans.
Arik Dorfman, Aziz Subach, Inon Scharf
wiley +1 more source
Advances in Position‐Momentum Entanglement: A Versatile Tool for Quantum Technologies
Position–momentum entanglement constitutes a high‐dimensional continuous‐variable resource in quantum optics. Recent advances in its generation, characterization, and control are reviewed, with emphasis on spontaneous parametric down‐conversion and modern measurement techniques.
Satyajeet Patil +6 more
wiley +1 more source
A Cr3+/La3+ codoped Sr3Zr2O7 NIR phosphor showing luminescence at ∼960 nm with high IQE/EQE (92.4%/57.5%) and good thermal stability was developed. La3+ stabilizes Cr3+ and induces Cr3+ pairs, enabling efficient blue‐to‐NIR conversion for underwater wireless optical communication.
Zhiyuan Pan +5 more
wiley +1 more source
A trace–path integral formula over function fields
Abstract We show that an arithmetic path integral over the ℓ$\ell$‐torsion of a Jacobian J[ℓ]$J[\ell]$ is equal to the trace of the Frobenius action on a representation of the Heisenberg group H(J[ℓ])$H(J[\ell])$, up to an explicitly determined sign.
Yan Yau Cheng
wiley +1 more source
Non-compact quantum groups arising from Heisenberg type Lie bialgebras
The dual Lie bialgebra of a certain ``quasitriangular'' Lie bialgebra structure on the Heisenberg Lie algebra determines a (non-compact) Poisson--Lie group G. The compatible Poisson bracket on G is non-linear, but it can still be realized as a ``cocycle perturbation'' of the linear Poisson bracket.
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AbstractWe restate and prove the main theorem of the paper “Complex contact Lie groups and generalized complex Heisenberg groups”.
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Every simple Hermitian Lie group has a unique family of spherical representations induced from a maximal parabolic subgroup whose unipotent radical is a Heisenberg group. For most Hermitian groups, this family contains a complementary series, and at its endpoint sits a proper unitarizable subrepresentation.
Frahm, Jan; id_orcid 0000-0003-4174-5933 +2 more
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$L^p$- Heisenberg--Pauli--Weyl uncertainty inequalities on certain two-step nilpotent Lie groups
This article presents the $L^p$-Heisenberg--Pauli--Weyl uncertainty inequality for the group Fourier transform on a class of two-step nilpotent Lie groups, specifically the Métivier groups. This inequality quantitatively demonstrates that on Métivier groups, a nonzero function and its group Fourier transform cannot both be sharply localized.
Ganguly, Pritam, Sarkar, Jayanta
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Sharp upper bound for anisotropic Rényi entropy and Heisenberg uncertainty principle. [PDF]
Chatzakou M, Ruzhansky M, Shriwastawa A.
europepmc +1 more source

