Zobrazeno 1 - 10
of 87
pro vyhledávání: '"Jędrzej Śniatycki"'
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:
Richard Cushman, Jędrzej Śniatycki
Publikováno v:
Bulletin of the Polish Academy of Sciences Mathematics. 69:171-180
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::858d73b4b9ddb2af54de7bab469e4f21
https://doi.org/10.4064/ba201118-1-11
https://doi.org/10.4064/ba201118-1-11
Autor:
Richard Cushman, Jędrzej Śniatycki
Publikováno v:
Discrete & Continuous Dynamical Systems - S. 13:1115-1129
In this paper we define an action of a Lie algebra on a smooth manifold. We get nearly the same results as those for group actions, when the flows of the symmetry vector fields are complete. We show that the orbit space of a Lie algebra action is a d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ce88852bcfa4f368a363798e926bf228
https://doi.org/10.3934/dcdss.2020066
https://doi.org/10.3934/dcdss.2020066
Publikováno v:
Axioms
Volume 10
Issue 2
Axioms, Vol 10, Iss 118, p 118 (2021)
Volume 10
Issue 2
Axioms, Vol 10, Iss 118, 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://explore.openaire.eu/search/publication?articleId=doi_dedup___::68922c453e4d2e232a467cac73a13a22
Autor:
Jędrzej Śniatycki, Richard Cushman
Publikováno v:
Qualitative Theory of Dynamical Systems. 19
We study geometric quantization of the 1 : 1 in terms of a singular real polarization given by fibres of its energy momentum map.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::16512adf6bc3662cc9e0ec15d0e77e97
https://doi.org/10.1007/s12346-020-00417-x
https://doi.org/10.1007/s12346-020-00417-x