Abstract
IN a recent article in Nature1, a discussion on the foundations of quantum theory was presented by Dirac. He pointed out that the Schrödinger picture (S-picture) does not exist for quantized interacting fields such as quantum electrodynamics. Furthermore, the Heisenberg picture (H-picture) is assumed to exist with the H- and S-pictures not unitarily equivalent. We wish to point out here that there is a natural separable Hilbert space on which the S- and H-pictures both exist and are equivalent.
This is a preview of subscription content, access via your institution
Access options
Subscribe to this journal
Receive 51 print issues and online access
$199.00 per year
only $3.90 per issue
Buy this article
- Purchase on Springer Link
- Instant access to full article PDF
Prices may be subject to local taxes which are calculated during checkout
Similar content being viewed by others
References
Dirac, P. A. M., Nature, 203, 115 (1964).
Van Hove, L., Physica, 18, 145 (1952). Coester, F., and Haag, R., Phys. Rev., 117, 1137 (1960). Araki, H., J. Math. Phys., 1, 492 (1960).
Lehmann, H., Symanzik, K., and Zimmermann, W., Nuovo Cimento, 1, 205 (1955).
Haag, R., Phys. Rev., 112, 669 (1958). Ruelle, D., Helv. Phys. Acta, 35, 147 (1962). Hepp, K., Ann. Phys. Assoc., 7, 85 (1963).
Garding, L., and Wightman, A. S., Proc. U.S. Nat. Acad. Sci., 40, 617, 622 (1954). Segal, Amer. Math. Soc., 88, 12, (1958).
Feynman, R. P., Phys. Rev., 76, 749 (1949). Dyson, F., Phys. Rev., 75, 1736 (1949). Schwinger, J., Phys. Rev., 73, 416 (1948).
Taylor, J. G., Nuovo Cimento supplement and On the Existence of Solutions of Field Equations, Proc. Third Eastern U.S. Theor. Phys. Conf. (October 1964).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
SIMON, J., TAYLOR, J. Existence of the Schrödinger and Heisenberg Pictures. Nature 205, 1305–1306 (1965). https://doi.org/10.1038/2051305a0
Issue Date:
DOI: https://doi.org/10.1038/2051305a0
This article is cited by
-
Quantum Theory of Fields
Nature (1967)
Comments
By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.
