in this paper, lagrangian and equations describing one-dimensional anisotropic non-heisenberg model are studied. in this study we used the generalized coherent states in real parametrizations and the feynman path integral for these states in su(3) group. these equations describe nonlinear dynamics of non-heisenberg ferromagnetic chain completely. solutions of these equations are magnetic solito...

We study how the entropic uncertainty relation for position and momentum conjugate variables is minimized in the subspace of one-dimensional antisymmetric wave functions. Based partially on numerical evidence and partially on analytical results, a conjecture is presented for the sharp bound and for the minimizers. Conjectures are also presented for the corresponding sharp Hausdorff-Young inequa...

We revisit the definitions of error and disturbance recently used in error-disturbance inequalities derived by Ozawa and others by expressing them in the reduced system space. The interpretation of the definitions as meansquared deviations relies on an implicit assumption that is generally incompatible with the Bell-Kochen-SpeckerSpekkens contextuality theorems, and which results in averaging t...

In this article, we introduce a notion of magnetic field in the Heisenberg group and study its influence on spectral properties corresponding (sub-elliptic) Laplacian. We show that uniform fields uplift bottom spectrum. For vanishing at infinity, including Aharonov–Bohm potentials, derive improvements to variety Hardy-type inequalities for sub-Laplacian. particular, establish sub-Riemannian ana...

One of the fundamental tasks in quantum metrology is to estimate multiple parameters embedded a noisy process, i.e., channel. In this paper, we study limits channel estimation via concept amortization and right logarithmic derivative (RLD) Fisher information value. Our key technical result proof chain-rule inequality for RLD value, which implies that amortization, access catalyst state family, ...

Realizing the canonical commutation relations (CCR) [N, 0] = — i as N = — i d/d9 and 0 to be the multiplication by 9 on the Hilbert space of square integrable functions on [0, 27t], in the physical literature there seems to be some contradictions concerning the Heisenberg uncertainty principle (AN) (A0) > 1/4. The difficulties may be overcome by a rigorous mathematical analysis of the domain of...

We show how the quantum analog of the Fokker-Planck equation for describing Brownian motion can be obtained as the diffusive limit of the quantum linear Boltzmann equation. The latter describes the quantum dynamics of a tracer particle in a dilute, ideal gas by means of a translation-covariant master equation. We discuss the type of approximations required to obtain the generalized form of the ...

The main technical result of the paper is a Bochner type formula for the sub-laplacian on a quaternionic contact manifold. With the help of this formula we establish a version of Lichnerowicz’ theorem giving a lower bound of the eigenvalues of the sub-Laplacian under a lower bound on the Sp(n)Sp(1) components of the qc-Ricci curvature. It is shown that in the case of a 3-Sasakian manifold the l...