C. N. Yang and contemporary mathematics

Dianzhou Zhang

Pokroky matematiky, fyziky a astronomie (1994)

  • Volume: 39, Issue: 6, page 305-317
  • ISSN: 0032-2423

How to cite

top

Zhang, Dianzhou. "C. N. Yang a současná matematika." Pokroky matematiky, fyziky a astronomie 39.6 (1994): 305-317. <http://eudml.org/doc/37208>.

@article{Zhang1994,
author = {Zhang, Dianzhou},
journal = {Pokroky matematiky, fyziky a astronomie},
keywords = {C. N. Yang; Yang-Mills field; Yang-Baxter equation; parity; nonconservation; physics; gauge invariance; Fermi; Abelian groups; Weyl; gauge fields; nonintegrable phase factors; Jim Simons; fiber bundles; braid theory; Hopf algebra; quantum group; differential equations},
language = {cze},
number = {6},
pages = {305-317},
publisher = {Jednota českých matematiků a fyziků Union of Czech Mathematicians and Physicists},
title = {C. N. Yang a současná matematika},
url = {http://eudml.org/doc/37208},
volume = {39},
year = {1994},
}

TY - JOUR
AU - Zhang, Dianzhou
TI - C. N. Yang a současná matematika
JO - Pokroky matematiky, fyziky a astronomie
PY - 1994
PB - Jednota českých matematiků a fyziků Union of Czech Mathematicians and Physicists
VL - 39
IS - 6
SP - 305
EP - 317
LA - cze
KW - C. N. Yang; Yang-Mills field; Yang-Baxter equation; parity; nonconservation; physics; gauge invariance; Fermi; Abelian groups; Weyl; gauge fields; nonintegrable phase factors; Jim Simons; fiber bundles; braid theory; Hopf algebra; quantum group; differential equations
UR - http://eudml.org/doc/37208
ER -

References

top
  1. Yang, C. N., Selected papers, 1945–1980, with Commentary, W. H. Freedman and Company, San Francisco 1983. (1983) MR2210050
  2. Yang, C. N., Mills, R. L., Conservation of isotopic spin and isotopic gauge invariance, Phys. Rev. 96 (1954), str. 191–195. (1954) Zbl06538052MR0065437
  3. Mills, R., Gauge fields, Am. J. Phys. 57 (1989), str. 493–507. (1989) MR1000220
  4. Griffith, P. A., Mathematical sciences: A unifying and dynamical resource — Report of the Panel on Mathematic Sciences, initiated by the National Research Council, Notices AMS 33 (1986), str. 463. (1986) MR0839757
  5. Mayer, M. E., Fibre Bundle Techniques in Gauge Theories, Lecture Notes in Physics Vol. 67, Springer-Verlag, Berlin 1977, str. 2. (1977) MR0459423
  6. Pauli, W., Handbuch der Physik, 2. vydání (Geiger und Scheel, 1933), 24 (1), str. 83. (1933) 
  7. Pauli, W., [unknown], Rev. Mod. Phys. 13 (1941), str. 203. (1941) Zbl0028.38003
  8. Yang, C. N., Hermann Weyl’s contributions to physics, In Hermann Weyl (1885–1955), Springer-Verlag, Berlin 1985. (1985) MR0913868
  9. Wu, T. T., Yang, C. N., Concept of nonintegrable phase factors and global formulation of gauge fields, Phys. Rev. D 12 (1975), str. 3845–3857. (1975) MR0426712
  10. Singer, I. M., Some problems in the quantization of gauge theories and string theories, Proc. Symposia in Pure Math. 48 (1985), str. 198–216. (1985) MR0974336
  11. Atiyah, M. F., Hitchin, N. J., Singer, I. M., Self-duality in four-dimensional Riemann geometry, Proc. Roy. Soc. London Ser. A, 362 (1978), str. 425–461. (1978) Zbl0389.53011MR0506229
  12. Atiyah, M. F., Geometry of Yang-Mills Fields, Scuola Normale Superiore, Pisa 1977. (1977) Zbl0435.58001MR0554924
  13. Atiyah, M. F., Collected Works, Vol. 5. Gauge Theories, Cambridge University Press, Cambridge 1988, str. 1. (1988) Zbl0691.53003MR0951896
  14. Yang, C. N., Some exact results for the many-body problem in one dimension with repulsive delta-function interaction, Phys. Rev. Lett. 19 (1967), str. 1312–1315. (1967) Zbl0152.46301MR0261870
  15. Baxter, R. J., Partition Function of the eight-vertex lattice model, Ann. Phys. 70 (1972), str. 193–228. (1972) Zbl0236.60070MR0290733
  16. M. Barber and P. Pearce, eds., Yang-Baxter Equations, Conformal Invariance and Integrability in Statistical Mechanics and Field Theory, World Scientific, Singapore 1990. (1990) MR1237211
  17. M. Jimbo, ed., Yang-Baxter Equation in Integrable Systems, World Scientific, Singapore 1990. (1990) Zbl0726.58005MR1061379
  18. C. N. Yang and M. L. Ge, eds., Braid Group, Knot Theory and Statistical Mechanics, World Scientific, Singapore 1989. (1989) Zbl0716.00010MR1062420
  19. Atiyah, M. F., The Work of Donaldson, Notices AMS 33 (1986), str. 900. (1986) Zbl0666.01010
  20. Jaffe, A., Mazur, B., Vladimir Drinfeld, Notices AMS 37 (1990), str. 1210. (1990) MR1076560
  21. Hermann, R. H., Vaughan F. R. Jones, Notices AMS 37 (1990), str. 1211. (1990) MR1076560
  22. Galwedzki, K., Soule, C., Edward Witten, Notices AMS 37 (1990), str. 1214. (1990) MR1076560
  23. [unknown], Mathematical Intelligencer, 9 (1991), č. 2, 7. (1991) Zbl1170.11300MR1271735

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.