Special Issue "Physics based on Two-by-two Matrices"


A special issue of Symmetry (ISSN 2073-8994).

Deadline for manuscript submissions: closed (28 February 2014)

Special Issue Editor

Guest Editor
Prof. Dr. Young Suh Kim
Center for Fundamental Physics, University of Maryland, College Park, MD 20742, USA
Website: http://www2.physics.umd.edu/~yskim
E-Mail: yskim@umd.edu
Phone: +1 301 405 6024
Fax: +1 301 699 9195
Interests: elementary particle theory; Lorentz group applicable to other areas of physics including quantum optics; condensed matter physics; and classical mechanics; foundations of quantum mechanics; particularly the question of making the uncertainty principle consistent with special relativity

Special Issue Information

Dear Colleagues,

Articles based on two-by-two matrices are invited. Your articles may contain original research results or a concise review based on your earlier publications. It is easier to read articles if written in the language of two-by-two matrices.

The two-by-two matrix is the mathematical instrument applicable to all branches of modern physics. If its determinant is one, this matrix has six independent parameters. It has three parameters if its elements are real. In addition to its role in developing theories in a given branch of physics, the same matrix formalism may be applicable to other areas of physics. It may thus be possible, using the same set of two-by-two matrices, to formulate new physical ideas based on what happens in a different branch of physics where the ideas are more firmly established.

It is generally assumed that the mathematics of this two-by-two matrix is well known. Get the eigenvalues by solving a quadratic equation, and then diagonalize the matrix by a rotation. This is not always possible. First of all, there are two-by-two matrixes that cannot be diagonalized. For some instances, the rotation alone is not enough for us to diagonalize the matrix. It is thus possible to gain a new insight to physics while dealing with these mathematical problems.

Prof. Dr. Young Suh Kim
Guest Editor


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.


  • physical applications of SU(2)
  • Sp(2)
  • SL(2,c)
  • GL(2,c)

Published Papers (3 papers)

Symmetry 2014, 6(2), 234-255; doi:10.3390/sym6020234 (doi registration under processing)
Received: 27 February 2014; in revised form: 31 March 2014 / Accepted: 11 April 2014 / Published: 17 April 2014
Show/Hide Abstract | Download PDF Full-text (335 KB)

Symmetry 2014, 6(2), 164-170; doi:10.3390/sym6020164
Received: 27 January 2014; in revised form: 21 March 2014 / Accepted: 24 March 2014 / Published: 27 March 2014
Show/Hide Abstract | Download PDF Full-text (198 KB)

Symmetry 2014, 6(1), 103-110; doi:10.3390/sym6010103
Received: 31 July 2013; in revised form: 18 December 2013 / Accepted: 23 December 2013 / Published: 17 March 2014
Show/Hide Abstract | Download PDF Full-text (229 KB)

Last update: 11 July 2013

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