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The classical limit for Weyl quantization

โœ Scribed by M. A. Antonets


Publisher
Springer
Year
1978
Tongue
English
Weight
220 KB
Volume
2
Category
Article
ISSN
0377-9017

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โœฆ Synopsis


Here we formulate some theorems on convergence of solutions of non-relativistic quantum mechanics equations and probability distributions for quantum observables to the corresponding classical solutions and distributions. Some new algebra of Weyl symbols, which consists of temperated distributions, is the basic structure used here.


๐Ÿ“œ SIMILAR VOLUMES


L2 Estimates for Weyl Quantization
โœ A Boulkhemair ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 255 KB

Sharp L 2 estimates for Weyl quantized pseudodifferential operators are established in the framework of Ho rmander's classes of symbols S m \*, $ . In particular, the case of forbidden symbols is discussed.