Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Jedrzej Sniatycki"'
Autor:
Richard Cushman, Jędrzej Śniatycki
Publikováno v:
Axioms, Vol 13, Iss 1, p 9 (2023)
Every subset S of a Cartesian space Rd, endowed with differential structure C∞(S) generated by restrictions to S of functions in C∞(Rd), has a canonical partition M(S) by manifolds, which are orbits of the family X(S) of all derivations of C∞(S
Externí odkaz:
https://doaj.org/article/b7019a60390d44eb97bafd42fd8dda27
Autor:
Richard Cushman, Jędrzej Śniatycki
Publikováno v:
Symmetry, Vol 14, Iss 3, p 496 (2022)
The seminal paper by Niels Bohr followed by a paper by Arnold Sommerfeld led to a revolutionary Bohr–Sommerfeld theory of atomic spectra. We are interested in the information about the structure of quantum mechanics encoded in this theory. In parti
Externí odkaz:
https://doaj.org/article/1c8dbc1255be454d9f992d45a7b04745
Publikováno v:
Axioms, Vol 10, Iss 3, p 173 (2021)
There was an error in the original article [...]
Externí odkaz:
https://doaj.org/article/7781bdccfb68477e86db9ecadda49f37
Publikováno v:
Axioms, Vol 10, Iss 2, p 118 (2021)
In this paper, we study differential forms and vector fields on the orbit space of a proper action of a Lie group on a smooth manifold, defining them as multilinear maps on the generators of infinitesimal diffeomorphisms, respectively. This yields an
Externí odkaz:
https://doaj.org/article/f2f8ceff8d274ca9a9d2bb07f990f63e
Autor:
Richard Cushman, Jędrzej Śniatycki
Publikováno v:
Axioms, Vol 9, Iss 4, p 125 (2020)
The original Bohr-Sommerfeld theory of quantization did not give operators of transitions between quantum quantum states. This paper derives these operators, using the first principles of geometric quantization.
Externí odkaz:
https://doaj.org/article/9604c91e04c2467187cc8eb1e6e39821
This book gives a modern differential geometric treatment of linearly nonholonomically constrained systems. It discusses in detail what is meant by symmetry of such a system and gives a general theory of how to reduce such a symmetry using the concep
Autor:
Jedrzej Sniatycki
This book contains a revised and expanded version of the lecture notes of two seminar series given during the academic year 1976/77 at the Department of Mathematics and Statistics of the University of Calgary, and in the summer of 1978 at the Institu
Autor:
Jedrzej Sniatycki
Publikováno v:
Group Theoretical Methods in Physics ISBN: 9783540077893
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c4488501fafef08751446f98404b60eb
https://doi.org/10.1007/3-540-07789-8_19
https://doi.org/10.1007/3-540-07789-8_19
We discuss properties of the regular part Sreg of a subcartesian space S. We show that Sreg is open and dense in S and the restriction to Sreg of the tangent bundle space of S is locally trivial.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::088d9ce71481ba72ab2f09b1c47cf001
http://arxiv.org/abs/0803.1147
http://arxiv.org/abs/0803.1147
Autor:
Larry Bates, Jedrzej Sniatycki
Publikováno v:
Proceedings of the American Mathematical Society. 114:877-878
We give a new proof of the period-energy relation for Hamiltonian systems.