Special Issue "Quantum Symmetry"
A special issue of Symmetry (ISSN 20738994).
Deadline for manuscript submissions: closed (31 January 2011)
Special Issue Editor
Guest Editor
Dr. Dean Rickles
Unit for History and Philosophy of Science, Faculty of Science, Sydney, NSW 2006, Australia
Website: http://www.usyd.edu.au/hps/staff/academic/Dean_Rickles.shtml
EMail: dean.rickles@sydney.edu.au
Phone: +61 2 9351 8552
Interests: philosophy of symmetry; quantum gravity; foundations of physics; spacetime physics; econophysics
Special Issue Information
Dear Colleagues,
 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 antiunitary operators.)
 Quantum mechanics assigns complex numbers to these transition amplitudes.
 The algebra of observables in quantum mechanics is noncommutative.
 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 NonCommutative Geometry).
 SpinStatistics, 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
Guest Editor
Keywords
 quantum symmetry
 Sduality
 symmetry breaking
 anyons
 braid group
 quantum groups
 conformal field theory
 modular invariance
Symmetry 2011, 3(3), 524540; doi:10.3390/sym3030524
Received: 6 July 2011; Accepted: 17 July 2011 / Published: 27 July 2011
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Symmetry 2011, 3(3), 389401; doi:10.3390/sym3030389
Received: 11 June 2011; Accepted: 21 June 2011 / Published: 29 June 2011
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Symmetry 2011, 3(2), 171206; doi:10.3390/sym3020171
Received: 9 March 2011; in revised form: 6 April 2011 / Accepted: 12 April 2011 / Published: 27 April 2011
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Symmetry 2011, 3(2), 134154; doi:10.3390/sym3020134
Received: 21 February 2011; in revised form: 21 March 2011 / Accepted: 28 March 2011 / Published: 31 March 2011
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Symmetry 2011, 3(1), 1636; doi:10.3390/sym3010016
Received: 6 January 2011; in revised form: 7 February 2011 / Accepted: 11 February 2011 / Published: 14 February 2011
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Symmetry 2010, 2(4), 19451980; doi:10.3390/sym2041945
Received: 20 September 2010; in revised form: 26 October 2010 / Accepted: 11 November 2010 / Published: 19 November 2010
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Symmetry 2010, 2(4), 18101845; doi:10.3390/sym2041810
Received: 18 August 2010; in revised form: 14 September 2010 / Accepted: 8 October 2010 / Published: 1 November 2010
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Last update: 5 March 2014