Energy translation operator
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چکیده
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منابع مشابه
05 2 v 2 9 A pr 2 00 2 Magnetic translation and Berry ’ s phase factor through adiabatically rotating a magnetic field ∗
For a spin subjected to an adiabatically changing magnetic field, the " solid angle result " as embodied by a rotation operator is the only non-trivial factor in the evolution operator. For a charged particle, the infinite degeneracy of the energy levels calls for a rigorous investigation. We find that in this case, it is the product of the rotation operator and a magnetic translation operator ...
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In this paper, using a generalized translation operator, we prove theestimates for the generalized Fourier-Bessel transform in the space L2 on certainclasses of functions.
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An operator is defined that is analogous to the time translation operator except that it translates every component of a state in energy by an amount ε. A prescription for measuring expectation values of this operator is described. These measurements provide phase information that is not obtainable by other means. The similarity of this treatment with the treatment of reccurrence spectroscopy i...
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Using a generalized translation operator, we obtain a generalization of Theorem 5 in [4] for the Bessel transform for functions satisfying the (delta;gamma ; 2)-BesselLipschitz condition in L_{2;alpha}(R+).
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The interrelations between the two definitions of momentum operator, via the canonical energy-momentum tensorial operator and as translation operator (on the operator space), are studied in quantum field theory. These definitions give rise to similar but, generally, different momentum operators, each of them having its own place in the theory. Some speculations on the relations between quantum ...
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In this paper, using a generalized Dunkl translation operator, we obtain a generalization of Titchmarsh's Theorem for the Dunkl transform for functions satisfying the$(psi,p)$-Lipschitz Dunkl condition in the space $mathrm{L}_{p,alpha}=mathrm{L}^{p}(mathbb{R},|x|^{2alpha+1}dx)$, where $alpha>-frac{1}{2}$.
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