Fizika matematike

Fizika matematike është disiplin shkencore e krijuar si pikë premje e matematikës dhe fizikës.

Një përcaktim tipik i kësaj dege jepet tek Gazeta e Fizikes Matematike: "aplikimi i matematikes tek problemet ne fizike si dhe në zhvillimin e metodave matematike të nevojshme për aplikimet dhe formulimin e teorive të fizikës." Ky përcaktim, nuk mbulon situatat ku rezultatet nga fizika përdoren për të ndihmuar në provat e matematikës abstrakte e cila në vetvete nuk ka asgjë të përbashkët me fizikën. Ky fenomen është bërë shumë i rëndësishëm, me zhvillimet në teorinë e kordave, zhvillime të cilat kanë rezultuar në kërkime të reja në matematike. Për përshkrimin e këtyre zhvillimeve, Erik Zaslov nxori frazën fizmatika, edhe pse shumica e studiueseve në këtë fushë këto arritje i konsiderojnë si pjese integrale e fushës se matematikës fizike.

Fusha të rëndësishme kërkimi në matematiken fizike janë: Analiza funksionale / fizika kuantike, gjeometria / relativiteti i përgjithshëm dhe kombinatorika / Teoria e probabilitetit / fizika statistike. Kohët e fundit, teoria e kordave, ka arritur të bije në kontakt me fushat kryesore të matematikes duke përfshirë gjeometrinë algjebrike, topologjinë, dhe gjeometrinë komplekse.

Referenca

• Stampa:Harvard reference
• Zalsow, Eric (2005), http://arxiv.org/abs/physics/0506153, <http://arxiv.org/abs/physics/0506153> 

Referenca bibliografike

Klasiket

• Abraham, Ralph & Marsden, Jerrold E. (2008), [[w:'Foundations of mechanics: a mathematical exposition of classical mechanics with an introduction to the qualitative theory of dynamical systems':|]] (2nd ed.), Providence, [RI.]: AMS Chelsea Pub., ISBN 9780821844380 

• Arnold, Vladimir I.; Vogtmann, K. & Weinstein, A. (tr.) (1997), [[:w:'Mathematical methods of classical mechanics / [Matematicheskie metody klassicheskoĭ mekhaniki]':|]] (2nd ed.), New York, [NY.]: Springer-Verlag, ISBN 0-387-96890-3 

• Courant, Richard & Hilbert, David (1989), [[:w:'Methods of mathematical physics / [Methoden der mathematischen Physik]':|]], New York, [NY.]: Interscience Publishers 

• Glimm, James & Jaffe, Arthur (1987), [[w:'Quantum physics: a functional integral point of view':|]] (2nd ed.), New York, [NY.]: Springer-Verlag, ISBN 0-387-96477-0  (pbk.)

• Haag, Rudolf (1996), [[w:'Local quantum physics: fields, particles, algebras':|]] (2nd rev. & enl. ed.), Berlin, [Germany] ; New York, [NY.]: Springer-Verlag, ISBN 3-540-61049-9  (softcover)

• Hawking, Stephen W. & Ellis, George F. R. (1973), [[w:'The large scale structure of space-time':|]], Cambridge, [England]: Cambridge University Press, ISBN 0-521-20016-4 

• Kato, Tosio (1995), [[w:'Perturbation theory for linear operators':|]] (2nd repr. ed.), Berlin, [Germany]: Springer-Verlag, ISBN 3-540-58661-X  (This is a reprint of the second (1980) edition of this title.)

• Margenau, Henry & Murphy, George Moseley (1976), [[w:'The mathematics of physics and chemistry':|]] (2nd repr. ed.), Huntington, [NY.]: R. E. Krieger Pub. Co., ISBN 0-882-75423-8  (This is a reprint of the 1956 second edition.)

• Morse, Philip McCord & Feshbach, Herman (1999), [[w:'Methods of theoretical physics':|]] (repr. ed.), Boston, {Mass.]: McGraw Hill, ISBN 0-070-43316-X  (This is a reprint of the original (1953) edition of this title.)

• von Neumann, John & Beyer, Robert T. (tr.) (1955), [[w:'Mathematical foundations of quantum mechanics':|]], Princeton, [NJ.]: Princeton University Press 

• Reed, Michael C. & Simon, Barry (1972-1977), [[w:'Methods of modern mathematical physics (4 vol.)':|]], New York. {NY.]: Academic Press, ISBN 0-125-85001-8 

• Titchmarsh, Edward Charles (1939), [[w:'The theory of functions':|]] (2nd ed.), London, [England]: Oxford University Press  (This tome was reprinted in 1985.)

• Thirring, Walter E. & Harrell, Evans M. (tr.) (1978-1983), [[:w:'A course in mathematical physics / [Lehrbuch der mathematischen Physik] (4 vol.)':|]], New York, [NY.]: Springer-Verlag 

• Weyl, Hermann & Robertson, H. P. (tr.) (1931), [[:w:'The theory of groups and quantum mechanics / [Gruppentheorie und Quantenmechanik]':|]], London, [England]: Methuen & Co. 

• Whittaker, Edmund Taylor & Watson, George Neville (1979), [[w:'A course of modern analysis: an introduction to the general theory of infinite processes and of analytic functions, with an account of the principal transcendental functions':|]] (1st AMS ed.), New York, [NY.]: AMS Press, ISBN 0-404-14736-4 

Libra per studime universitare

• Arfken, George B. & Weber, Hans J. (1995), [[w:'Mathematical methods for physicists':|]] (4th ed.), San Diego, [CA.]: Academic Press, ISBN 0-120-59816-7  (pbk.)

• Boas, Mary L. (2006), [[w:'Mathematical methods in the physical sciences':|]] (3rd ed.), Hoboken, [NJ.]: John Wiley & Sons, ISBN 9780471198260 

• Butkov, Eugene (1968), [[w:'Mathematical physics':|]], Reading, [Mass.]: Addison-Wesley 

• Jeffreys, Harold & Swirles Jeffreys, Bertha (1956), [[w:'Methods of mathematical physics':|]] (3rd rev. ed.), Cambridge, [England]: Cambridge University Press 

• Mathews, Jon & Walker, Robert L. (1970), [[w:'Mathematical methods of physics':|]] (2nd ed.), New York, [NY.]: W. A. Benjamin, ISBN 0-8053-7002-1 

• Stakgold, Ivar (c.2000), [[w:'Boundary value problems of mathematical physics (2 vol.)':|]], Philadelphia, [PA.]: Society for Industrial and Applied Mathematics, ISBN 0-898-71456-7  (set : pbk.)

Nenfusha te tjera te specializuara

• Aslam, Jamil & Hussain, Faheem (2007), [[:w:'Mathematical physics' Proceedings of the 12th Regional Conference], Islamabad, Pakistan, 27 March - 1 April 2006:http://www.worldscibooks.com/physics/6405.html%7Chttp://www.worldscibooks.com/physics/6405.html]], Singapore: World Scientific, ISBN 978-981-270-591-4, <http://www.worldscibooks.com/physics/6405.html> 

• Baez, John C. & Muniain, Javier P. (1994), [[w:'Gauge fields, knots, and gravity':|]], Singapore ; River Edge, [NJ.]: World Scientific, ISBN 9-810-22034-0  (pbk.)

• Geroch, Robert (1985), [[w:'Mathematical physics':|]], Chicago, [IL.]: University of Chicago Press, ISBN 0-226-28862-5  (pbk.)

• Polyanin, Andrei D. (2002), [[w:'Handbook of linear partial differential equations for engineers and scientists':|]], Boca Raton, [FL.]: Chapman & Hall / CRC Press, ISBN 1-584-88299-9 

• Polyanin, Alexei D. & Zaitsev, Valentin F. (2004), [[w:'Handbook of nonlinear partial differential equations':|]], Boca Raton, [FL.]: Chapman & Hall / CRC Press, ISBN 1-584-88355-3 

• Szekeres, Peter (2004), [[w:'A course in modern mathematical physics: groups, Hilbert space and differential geometry':|]], Cambridge, [England] ; New York, [NY.]: Cambridge University Press, ISBN 0-521-53645-6  (pbk.)

• Yndurain, Francisco J (2006), [[w:'Theoretical and Mathematical Physics. The Theory of Quark and Gluon Interactions':|]], Springer, ISBN 978-3-540-33209-I  (pbk.)

Shikoni gjithashtu

• Fizika
• Fizika teorike

Lidhje te jashtme

• Communications in Mathematical Physics
• Journal of Mathematical Physics
• Mathematical Physics Electronic Journal
• International Association of Mathematical Physics
• Erwin Schrödinger International Institute for Mathematical Physics
• Linear Mathematical Physics Equations: Exact Solutions - from EqWorld
• Mathematical Physics Equations: Index - from EqWorld
• Nonlinear Mathematical Physics Equations: Exact Solutions - from EqWorld
• Nonlinear Mathematical Physics Equations: Methods - from EqWorld