Dynamical systems on ''continuum'' Hilbert spaces may be realized as limits of dynamical systems on ''discrete'' (possibly finite-dimensional) Hilbert spaces. In this first of four papers on the topic, the ''continuum'' and ''discrete'' spaces are interfaced to one another algebraically, convergence
โฆ LIBER โฆ
The Continuum Limit of Quantum Spin Systems
โ Scribed by A.M. Fearnhead; K.C. Hannabuss
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 211 KB
- Volume
- 278
- Category
- Article
- ISSN
- 0003-4916
No coin nor oath required. For personal study only.
โฆ Synopsis
An extension of the quantum mechanical central limit theorem provides a linear continuum model of the quantum fluctuations near a stable pumped state of a discrete atomic model such as the Dicke Hepp Lieb maser model. This procedure can be reversed to select an appropriate atomic model whose limit gives a particular continuum. The methods are applied to the interaction between light and matter to provide a derivation of Chiao's dispersion relation for an inverted medium.
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