G.G. Emch: "Geometric dequantization and the correspondence problem", Int.J.Theo.Phys. 22(1983) 397--420 Home/Search Document Not in Database Summary Related Articles Check |
This paper is cited in the following contexts:
The Classical Limit of Quantum Theory - Werner (1995) (Correct)
....product is defined by some variant of the h dependent Moyal formula. It is clear that such families are also convergent in our sense (see Section 4. 3) Nevertheless, the very restricted h dependence of such families is unnatural from the point of view of the classical limit (or dequantization [Em1] natural as it may be for quantization . For another approach to quantization, based on a very restricted class of Hamiltonians, see [BV] 2. Definition and Main Results Consider a typical Hamiltonian operator H h = Gamma h 2 2m Delta V (x) 2:1) from a textbook on quantum ....
....invariant spaces of operators and functions, respectively. This general result can be used to set up limit theorems for a variety of subspaces of A h . The sequences F h ( with absolutely continuous of compact support have been made the basis of a discussion of the classical limit by Emch [Em1,Em2] In his approach each classical observable F 0 thus has a unique h sequence of quantum observables F h associated with it, which is also typical for deformation quantization approaches [Ri1,Ri2,Ri3] In our approach this constraint becomes unnecessary, both from a technical and from a ....
G.G. Emch: "Geometric dequantization and the correspondence problem", Int.J.Theo.Phys. 22(1983) 397--420
Classical Mechanics as Quantum Mechanics with Infinitesimal h - Werner, Wolff (1995) (Correct)
....of classical observables. The same is true of approaches based on Feynman integrals [AHK] and on the limits of coherent states [Hep, Hag] An approach to the classical limit emphasizing the limit of observables and their algebraic structure has recently been developed in [We2] compare also [Rie, Em1]) This approach makes rigorous the intuitive criterion for deciding which observables in quantum theory may effectively be treated classically: classical observables should not change too much under small position or momentum translations, where, due to the relation p = hk, a small momentum ....
G.G. Emch:"Geometric dequantization and the correspondence problem ", Int.J.Theo.Phys. 22(1983) 397-420
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