States in non-associative quantum mechanics: uncertainty relations and semiclassical evolution
نویسندگان
چکیده
منابع مشابه
Uncertainty relation and non - dispersive states in Finite Quantum Mechanics ⋆
In this letter, we provide evidence for a classical sector of states in the Hilbert space of Finite Quantum Mechanics (FQM) with a corresponding violation of the uncertainty relation. The classical regime, contrary to standard Quantum Mechanical Systems of particles and fields, but also of strings and branes appears in short distances of the order of the lattice spacing. For linear quantum maps...
متن کاملA non-associative quantum mechanics
A non-associative quantum mechanics is proposed in which the product of three and more operators can be non-associative one. The multiplication rules of the octonions define the multiplication rules of the corresponding operators with quantum corrections. The self-consistency of the operator algebra is proved for the product of three operators. Some properties of the non-associative quantum mec...
متن کاملNote on semiclassical uncertainty relations
F. Olivares1, F. Pennini1,2, G.L Ferri3, A. Plastino2 1Departamento de Fı́sica, Universidad Católica del Norte, Av. Angamos 0610, Antofagasta, Chile 2Instituto de Fı́sica La Plata–CCT-CONICET, Fac. de Ciencias Exactas, Universidad Nacional de La Plata, C.C. 67, 1900 La Plata, Argentina 3Facultad de Ciencias Exactas, Universidad Nacional de La Pampa, Peru y Uruguay, Santa Rosa, La Pampa, Argentina...
متن کاملOn the uncertainty relations and squeezed states for the quantum mechanics on a circle
The uncertainty relations for the position and momentum of a quantum particle on a circle are identified minimized by the corresponding coherent states. The sqeezed states in the case of the circular motion are introduced and discussed in the context of the uncertainty relations. PACS numbers: 02.30.Gp, 03.65.-w, 03.65.Sq
متن کاملComment on ” On the uncertainty relations and squeezed states for the quantum mechanics on a circle ”
It is shown by examples that the position uncertainty on a circle, proposed recently by Kowalski and Rembieli´nski [J. Phys. A 35 (2002) 1405] is not consistent with the state localization. We argue that the relevant uncertainties and uncertainty relations (UR's) on a circle are that based on the Gram-Robertson matrix. Several of these generalized UR's are displayed and related criterions for s...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2015
ISSN: 1029-8479
DOI: 10.1007/jhep03(2015)093