Large-N quantum mechanics and classical limits
- 1 August 1983
- journal article
- Published by AIP Publishing in Physics Today
- Vol. 36 (8) , 50-57
- https://doi.org/10.1063/1.2915799
Abstract
For a physical theory to be useful, we should be able to extract from it quantitative predictions for physical observables. With most theories, this process of practical application requires some approximation method that is both tractable and adequately accurate. The lack of a useful approximation scheme can seriously impede progress in a field of research. Molecular quantum mechanics and critical phenomena, for example, have both suffered from this problem during periods of their development. The physics of strong interactions is in such a period today. Naturally, our inability to extract useful predictions from a promising theory is a strong incentive to develop novel approximation techniques.Keywords
This publication has 9 references indexed in Scilit:
- Largelimits as classical mechanicsReviews of Modern Physics, 1982
- SO(2, 1) algebra and the large N expansion in quantum mechanicsAnnals of Physics, 1980
- N = ∞ phase transition in a class of exactly soluble model lattice gauge theoriesPhysics Letters B, 1980
- Baryons in the expansionNuclear Physics B, 1979
- A planar diagram theory for strong interactionsNuclear Physics B, 1974
- On the superradiant phase transition for molecules in a quantized radiation field: the dicke maser modelAnnals of Physics, 1973
- Expansion of a Critical Exponent in Inverse Powers of Spin DimensionalityProgress of Theoretical Physics, 1973
- Spherical Model as the Limit of Infinite Spin DimensionalityPhysical Review B, 1968
- Validity of many-body approximation methods for a solvable modelNuclear Physics, 1965