A. Grossmann: "Parity operator and quantization of delta-functions", Commun.Math.Phys. 48(1976) 191--194 31  Home/Search   Document Not in Database   Summary   Related Articles

....comparison described by the j hh 0 should be at least asymptotically transitive. Positive maps taking quantum observables to classical ones and conversely are wellknown [Bop,Sim,Dav,Tak,We1] These maps depend on the choice of a normal state, which is usually taken to be coherent, i.e. the ground state of some harmonic oscillator. Let h (x) h) Gammad=4 exp Gammax 2 2h (3:8) be the ground state vector of the standard oscillator Hamiltonian H osc h = 1 2 X i (P 2 i Q 2 i ) 3:9) with P i = h=i) x i . By Gamma h = j h ih h j we will denote the corresponding ....

....quantum observables to classical ones and conversely are wellknown [Bop,Sim,Dav,Tak,We1] These maps depend on the choice of a normal state, which is usually taken to be coherent, i.e. the ground state of some harmonic oscillator. Let h (x) h) Gammad=4 exp Gammax 2 2h (3:8) be the ground state vector of the standard oscillator Hamiltonian H osc h = 1 2 X i (P 2 i Q 2 i ) 3:9) with P i = h=i) x i . By Gamma h = j h ih h j we will denote the corresponding one dimensional projection. Then we set, for f 2 L 1 ( Xi) and A 2 B(H) j 0h (A) x; p) h h jW h ....

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A. Grossmann: "Parity operator and quantization of delta-functions", Commun.Math.Phys. 48(1976) 191--194 31

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