Special Issue "Quantum Symmetry"
A special issue of Symmetry (ISSN 2073-8994).
Deadline for manuscript submissions: closed (31 January 2011)
Dr. Dean Rickles
Unit for History and Philosophy of Science, Faculty of Science, Sydney, NSW 2006, Australia
Phone: +61 2 9351 8552
Interests: philosophy of symmetry; quantum gravity; foundations of physics; spacetime physics; econophysics
- Physical states represented in Hilbert space rather than phase space.
- Quantum mechanics defines symmetries as mappings between physical states that preserve transition amplitudes. (As Wigner proved, these symmetries can be represented in Hilbert space by unitary and anti-unitary operators.)
- Quantum mechanics assigns complex numbers to these transition amplitudes.
- The algebra of observables in quantum mechanics is non-commutative.
- Quantum particles are indistinguishable.
- Composite quantum systems are not represented by a Cartesian product structure, but by a linear tensor structure.
Contributions are invited on all aspects of quantum symmetries. Those that involve foundational issues or the intersection of theoretical physics and pure mathematics are especially welcomed. Possible themes (not ranked in order preference) include:
- 2D Conformal Field Theory, Modular Invariance, Statistical Mechanics.
- Dualities in Quantum Theories.
- Mirror Symmetry in String Theory.
- Emergent Quantum Symmetries, Symmetry Breaking, Effective Field Theory, Renormalization Group.
- Hopf Algebras, Quantum Groups and Low Dimensional Physics.
- Quantum Geometry (including Non-Commutative Geometry).
- Spin-Statistics, Anyons, Fractional Quantum Hall Effect.
- Connections between Quantum Symmetries and Spacetime/Object Dimensionality.
- Quantum Symmetries in Computation.
- Relationship between Classical and Quantum Symmetries.
Dr. Dean Rickles
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. Papers will be published continuously (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as 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 refereed through a 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 quarterly 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 500 CHF (Swiss Francs). English correction and/or formatting fees of 250 CHF (Swiss Francs) will be charged in certain cases for those articles accepted for publication that require extensive additional formatting and/or English corrections.
- quantum symmetry
- symmetry breaking
- braid group
- quantum groups
- conformal field theory
- modular invariance
Symmetry 2010, 2(4), 1810-1845; doi:10.3390/sym2041810
Received: 18 August 2010; in revised form: 14 September 2010 / Accepted: 8 October 2010 / Published: 1 November 2010| Download PDF Full-text (286 KB)
Symmetry 2010, 2(4), 1945-1980; doi:10.3390/sym2041945
Received: 20 September 2010; in revised form: 26 October 2010 / Accepted: 11 November 2010 / Published: 19 November 2010| Download PDF Full-text (418 KB)
Symmetry 2011, 3(1), 16-36; doi:10.3390/sym3010016
Received: 6 January 2011; in revised form: 7 February 2011 / Accepted: 11 February 2011 / Published: 14 February 2011| Download PDF Full-text (251 KB)
Article: Quantisation, Representation and Reduction; How Should We Interpret the Quantum Hamiltonian Constraints of Canonical Gravity?
Symmetry 2011, 3(2), 134-154; doi:10.3390/sym3020134
Received: 21 February 2011; in revised form: 21 March 2011 / Accepted: 28 March 2011 / Published: 31 March 2011| Download PDF Full-text (391 KB)
Symmetry 2011, 3(2), 171-206; doi:10.3390/sym3020171
Received: 9 March 2011; in revised form: 6 April 2011 / Accepted: 12 April 2011 / Published: 27 April 2011| Download PDF Full-text (658 KB)
Symmetry 2011, 3(3), 389-401; doi:10.3390/sym3030389
Received: 11 June 2011 / Accepted: 21 June 2011 / Published: 29 June 2011| Download PDF Full-text (266 KB)
Symmetry 2011, 3(3), 524-540; doi:10.3390/sym3030524
Received: 6 July 2011 / Accepted: 17 July 2011 / Published: 27 July 2011| Download PDF Full-text (322 KB)
Last update: 10 October 2012