Nonexistence results for ultra-parabolic equations and systems involving fractional Laplacian operator in Heisenberg group. [PDF]
Tsegaw BB.
europepmc +1 more source
Curvatures of left invariant Randers metric on the five-dimensional Heisenberg group [PDF]
A left invariant Z-Randers metric on the five-dimensional Heisenberg group is a left invariant Randers metric with deformation vector from the center of the Heisenberg algebra. In this note we prove that for every left invariant Z-Randers metric on the five-dimensional Heisenberg group there exist flags of strictly negative and there exist flags of ...
arxiv
Uniqueness of a positive solution for quasilinear elliptic equations in Heisenberg group
In this note we address the question of uniqueness of the Brezis-Oswald problem for the p-Laplacian operator in Heisenberg Group.
Kaushik Bal
doaj
Nonlinear fractional equations in the Heisenberg group
We deal with a wide class of nonlinear nonlocal equations led by integro-differential operators of order (s,p), with summability exponent p in (1,∞) and differentiability order s in (0,1), whose prototype is the fractional subLaplacian in the Heisenberg ...
Giampiero Palatucci, Mirco Piccinini
doaj +1 more source
Lie groups locally isomorphic to generalized Heisenberg groups [PDF]
We classify connected Lie groups which are locally isomorphic to generalized Heisenberg groups. For a given generalized Heisenberg group $N$, there is a one-to-one correspondence between the set of isomorphism classes of connected Lie groups which are locally isomorphic to $N$ and a union of certain quotients of noncompact Riemannian symmetric spaces.
arxiv
Nuclear Physics in the Era of Quantum Computing and Quantum Machine Learning
The use of QML in the realm of nuclear physics at low energy is almost nonexistent. Three examples of the use of quantum computing and quantum machine in nuclear physics are presented: the determination of the phase/shape in nuclear models, the calculation of the ground state energy, and the identification of particles in nuclear physics experiments ...
José‐Enrique García‐Ramos+4 more
wiley +1 more source
The C*-alegbras of the Heisenberg Group and of thread-like Lie groups [PDF]
We describe the C*-algebras of the Heisenberg group H_n, n\geq 1, and the thread-like Lie group G_N, N\geq 3, in terms of C*-algebras of operator fields.
arxiv
Advantage of Non‐Gaussian Operations in Phase Estimation via Mach–Zehnder Interferometer
This research delves into the advantages rendered by probabilistic non‐Gaussian operations in phase estimation, using Mach–Zehnder interferometers with difference‐intensity and parity detection measurement schemes. An experimentally viable scheme is considered to implement three distinct non‐Gaussian operations, namely, photon subtraction, photon ...
Manali Verma+3 more
wiley +1 more source
Discrete flavour symmetries from the Heisenberg group
Non-abelian discrete symmetries are of particular importance in model building. They are mainly invoked to explain the various fermion mass hierarchies and forbid dangerous superpotential terms.
E.G. Floratos, G.K. Leontaris
doaj
Observation of Topological Spin Textures in Ferrimagnetic Mn2 − xZnxSb
Mn2 − xZnxSb crystal has ferrimagnetic order due to the anti‐aligned spins at two inequivalent Mn sites. Magnetic property of the ferrimagnet can be tuned by external stimuli (such as the temperature and the magnetic field), resulting in a variety of spin textures.
Yue Li+8 more
wiley +1 more source