Hamiltonian Mechanics, Geometry and Quantization
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".
Deadline for manuscript submissions: closed (31 December 2020) | Viewed by 183
Special Issue Editors
Interests: geometric quantization; Hamiltonian mechanics; symplectic geometry; differential spaces; non-holonomic constraints; multisymplectic systems; relativistic field theory
Interests: Hamiltonian mechanics; geometry of integrable systems; singular reduction; differential and differentiable spaces; non-holonomic constraints
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Hamiltonian mechanics leads to a multitude of geometric structures. For example, completely integrable systems lead to a Lagrangian foliation of the phase space. On the other hand, geometric description of quantum phenomena requires lifting of a symplectomorphism of the system to a connection, preserving automorphism of the prequantization line bundle over the phase space. Analysis of a Hamiltonian system with singularities leads to differential geometry of singular spaces.
This Special Issue is devoted to presentation of the current state of research in geometric analysis of Hamiltonian systems, as well as the study of geometric structures arising in Hamiltonian mechanics. This includes topological investigations in Hamiltonian mechanics and multisymplectic approaches toward theory, geometric quantization, and other generalizations.
Dr. Jedrzej Sniatycki
Dr. Richard Cushman
Guest Editors
Manuscript Submission Information
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.
Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
Keywords
- completely integrable systems
- differential geometry of singular spaces
- geometric quantization
- multisymplectic field theory
- symplectic geometry
