List of Important Publications in Physics - Mathematical Physics

Mathematical Physics

• Noether, Emmy (1918). "Invariante Variationsprobleme " (in German). Nachr. D. König. Gesellsch. D. Wiss. Zu Göttingen, Math-phys. Klasse 1918: 235–257.

• Noether, Emmy (1971). "Invariant variation problems". Transport Theory and Statistical Physics 1 (3): 186–207. arXiv:physics/0503066. Bibcode 1971TTSP....1..186N. doi:10.1080/00411457108231446.

Contains a proof of Noether's Theorem (expressed as two theorems), showing that any symmetry of the Lagrangian corresponds to a conserved quantity. This result had a profound influence on 20th century theoretical physics.

• Ising, Ernst (1924). "Beitrag zur Theorie des Ferro-und Paramagnetismus " (in German). Thesis, Hamburg.
• Ising, Ernst (1925). "Beitrag zur Theorie des Ferromagnetismus " (in German). Zeitschrift für Physik 31 (1): 253–258. Bibcode 1925ZPhy...31..253I. doi:10.1007/BF02980577.

Ising's 1924 thesis proving the non-existence of phase transitions in the 1-dimensional Ising model.

• Peierls, R.; Born, M. (1936). "On Ising's Model of Ferromagnetism". Proc. Cambridge Phil. Soc. 32 (3): 477–481. Bibcode 1936PCPS...32..477P. doi:10.1017/S0305004100019174.

Peierls' 1936 contour argument proving the existence of phase transitions in higher dimensional Ising models.

• Morse, Philip M.; Feshbach, Herman (1953). Methods of theoretical physics. New York: McGraw-Hill. ISBN 978-0-07-043316-8.

• Menzel, Donald H. (1961). Mathematical physics (Unabridged and corrected republication of the 2nd ed.). New York: Dover. ISBN 0-486-60056-4.

Thorough introduction to the mathematical methods of classical mechanics, electromagnetic theory, quantum theory and general relativity. Possibly more accessible than Morse and Feshbach.

• Fröhlich, J.; Simon, B.; Spencer, T. (1 February 1976). "Infrared bounds, phase transitions and continuous symmetry breaking". Communications in Mathematical Physics 50 (1): 79–95. Bibcode 1976CMaPh..50...79F. doi:10.1007/BF01608557.

Proved the existence of phase transitions of continuous symmetry models in at least 3 dimensions.

• Kleinert, Hagen (2004). Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets. (paperback ed.). Singapore: World Scientific. ISBN 981-238-107-4. http://www.physik.fu-berlin.de/~kleinert/b5.