The Schrödinger equation in quantum field theory
 Jamal Nazrul Islam
 … show all 1 hide
Rent the article at a discount
Rent now* Final gross prices may vary according to local VAT.
Get AccessAbstract
Some aspects of the Schrödinger equation in quantum field theory are considered in this article. The emphasis is on the Schrödinger functional equation for YangMills theory, arising mainly out of Feynman's work on (2+1)dimensional YangMills theory, which he studied with a view to explaining the confinement of gluons. The author extended Feynman's work in two earlier papers, and the present article is partly a review of Feynman's and the author's work and some further extension of the latter. The primary motivation of this article is to suggest that considering the Schrödinger functional equation in the context of YangMills theory may contribute significantly to the solution of the confinement and related problems, an aspect which, in the author's opinion, has not received the attention it deserves. The relation of this problem with certain others such as those of quarks, superconductivity, and quantum gravity is considered briefly, together with certain basic aspects of the formalism that may be of interest in their own right, especially for the beginner.
 Jauch, J. M., Rohrlich, F. (1955) The Theory of Photons and Electrons. AddisonWesley, Massachusetts
 Dirac, P. A. M. (1958) The Principles of Quantum Mechanics. Clarendon, Oxford
 Schweber, S. (1961) An Introduction to Relativistic Quantum Field Theory. Row & Peterson, New York
 Tomonaga, S. (1946) Prog. Theor. Phys. 1: pp. 1
 Feynman, R. P. (1981) Nucl. Phys. B 188: pp. 479
 Islam, J. N. (1989) Proc. R. Soc. London A 421: pp. 279 CrossRef
 Feynman, R. P., Hibbs, A. R. (1965) Quantum Mechanics and Path Integrals. McGrawHill, New York
 Hartle, J. B. (1984) Phys. Rev. D 29: pp. 2730
 Feynman, R. P. (1963) Acta Phys. Pol. 24: pp. 697
 Faddeev, L. D., Popov, V. N. (1967) Phys. Lett. B 25: pp. 29
 Feynman, R. P. (1948) Rev. Mod. Phys. 20: pp. 367
 Dyson, F. J. (1953) Phys. Rev. 85: pp. 631
 Bardeen, J. M., Cooper, L. N., Schrieffer, J. R. (1957) Phys. Rev. 108: pp. 1175
 Callaway, D. J. E. (1988) Phys. Rep. 167: pp. 241
 Bednorz, G., Müller, K. A. (1986) Z. Phys. B 64: pp. 189
 Hartle, J. B., Hawking, S. W. (1983) Phys. Rev. D 28: pp. 2960
 Witt, B. S. (1967) Phys. Rev. 160: pp. 1113
 Weinstein, M. (1993) Phys. Rev. D 47: pp. 5499
 Symanzik, K. (1981) Nucl. Phys. B 190: pp. 1
 Rohrlich, F. (1965) Classical Charged Particles: Foundations of Their Theory. AddisonWesley, Massachusetts
 Title
 The Schrödinger equation in quantum field theory
 Journal

Foundations of Physics
Volume 24, Issue 5 , pp 593630
 Cover Date
 19940501
 DOI
 10.1007/BF02054667
 Print ISSN
 00159018
 Online ISSN
 15729516
 Publisher
 Kluwer Academic PublishersPlenum Publishers
 Additional Links
 Topics
 Industry Sectors
 Authors

 Jamal Nazrul Islam ^{(1)}
 Author Affiliations

 1. Research Centre for Mathematical and Physical Sciences, University of Chittagong, Bangladesh