Extra Colloquium Mathematics, Prof.dr. A.G. Nikitin (Kiev, IM NAS Ukraine)
Join us for coffee and tea at 12.45 p.m.
|
Date: |
Thursday, June 12th 2014 |
|
Speaker: |
Prof.dr. A.G. Nikitin (Kiev, IM NAS Ukraine) |
|
Room: |
5161.0253 (Bernoulliborg) |
|
Time: |
13.00 |
Title: Laplace-Runge-Lenz vectors with spin in any dimension.
Abstract:
The Laplace-Runge-Lenz vector (LRLV) is a cornerstone of celestial mechanics. It also plays an important role in quantum mechanics, being an integral of motion for the Hydrogen atom and some other systems. However, models of non-relativistic systems admitting LRLV usually ignore the spin of orbital particles. A collection of QM systems admitting LRLV vector with spin is presented In this talk. The collection includes 2d and 3d systems with arbitrary spin, as well as systems of arbitrary dimension with spins 0, 1/2, and 1. All these systems are "superintegrable" and they can be solved exactly. Physically speaking, they describe neutral particles with non-trivial multipole momenta (in particular, the neutron). References [1] A. G. Nikitin, Matrix superpotentials and superintegrable systems for arbitrary spin, J. Phys. A: Math. Theor. 45 (2012) 225205 (13p). [2] A. G. Nikitin, New exactly solvable systems with Fock symmetry, J. Phys. A: Math. Theor. 45 (2012) 485204 (9pp). [3] A. G. Nikitin. Integrability and supersymmetry of Schrodinger-Pauli equations for neutral particles. J. Math. Phys. 53, 122103 (2012); http://dx.doi.org/10.1063/1.4768464 (14 pages). [4] A. G. Nikitin. Superintegrable systems with spin invariant with respect to the rotation group. J. Phys. A: Math. Theor. 46 256204 (2013), arXiv 1303.1297 [5] A. G. Nikitin. Laplace-Runge-Lenz vector for arbitrary spin, J. Math. Phys. 54, 123506 (2013); http://dx.doi.org/10.1063/1.4843435 [6] A. G. Nikitin. Superintegrable systems with arbitrary spin. Ukr. J. Phys. 58 No 11, pp. 1046-1054 (2013) [7] A.G Nikitin. Laplace-Runge-Lenz vector with spin in any dimension,arXiv:1403.2867
Colloquium coordinators are Prof.dr. A.C.D. van Enter (e-mail : A.C.D.van.Enter@rug.nl) and
Dr. A.V. Kiselev (e-mail:
a.v.kiselev rug.nl
)
http://www.rug.nl/research/jbi/news/colloquia/mathematics-colloquia/
| Last modified: | 10 February 2021 2.28 p.m. |
More news
-
13 May 2024
‘The colourful cells of petals never get boring!’
Most people will enjoy colours in nature. However, the interest of evolutionary biologist Casper van der Kooi goes much further: he studies how flowers, birds, butterflies, and beetles get their colours. He also studies how these colours are used...
-
13 May 2024
Trapping molecules
In his laboratory, physicist Steven Hoekstra is building an experimental set-up made of two parts: one that produces barium fluoride molecules, and a second part that traps the molecules and brings them to an almost complete standstill so they can...
-
07 May 2024
Lecture with soon to be Honorary Doctor Gerrit Hiemstra on May 24
In celebration of his honorary doctorate, FSE has invited Hiemstra to give a lecture entitled ‘Science, let's talk about it’ on the morning of 24 May