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Jacques Vanier's The quantum physics of atomic frequency standards [2 Vol PDF

By Jacques Vanier

ISBN-10: 0852744331

ISBN-13: 9780852744338

ISBN-10: 085274434X

ISBN-13: 9780852744345

Atomic frequency criteria give you the so much actual measurements in physics. The Quantum Physics of Atomic Frequency criteria is an in depth survey of the topic protecting either theoretical and experimental points including purposes. As an obtainable and crucial reference will probably be worthy to skilled researchers and newbies alike. the 1st quantity starts with a quantum mechanics remedy of the interplay of static fields and electromagnetic radiation with atoms and molecules. all of the vital phenomena - noise, leisure, broadening and frequency shifts - is taken care of intimately and optical pumping and inhabitants inversion are defined. With all of the heritage fabric now in position the key a part of those volumes is dedicated to a theoretical research of the operation of the varied atomic frequency criteria which are both in use, are being studied or were proposed. * Caesium atomic beam frequency criteria * Hydrogen maser * Rubidium frequency criteria * Mercury ion catch * Frequency stabilized lasers within the ultimate bankruptcy the authors speak about the influence of atomic frequency criteria on navigation and verbal exchange platforms, in undefined, in new expertise and on basic study

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We assume that the constant magnetic induction is in the z direction. 51) we have (gJpBSz - glpB1z)BI cos wt. 52) (1, 01x110, 0 ) = (1, o/(gJpBsz - glpBlz)lo, o ) B 1 CoSot. 54) - 1- ;, ;));B1cosot. 1, since they have the same properties as the 1. 55) or X24 = - + p B B 1( g J + g,)(eiWf+ e-io'). 56) We shall use these expressions later. If we had taken BRF= i B 1 COSW~ that , is BRF in the x direction, we would have found that Xz4 = 0. This is readily verified by means of similar calculations as those made above.

Then if 8 is the angle between the direction of B o and that of BRF the matrix element is multiplied by cos e. (2) Field-dependent transitions A transition may be excited, for example, between the levels F = 1, mF = 1, and F = 1, mF = 0. For this other type of transition it is found that the RF field must be perpendicular to the constant DC magnetic field direction. We thus set B R F= i B , = i B 1 C O S W ~ Copyright © 1989 IOP Publishing, Ltd. 58) = (gJpBsx - glpBlx)Bl cosmt. 61) or ~ 1 =2 f l p g ~ 1(g, - g l ) [a(eimt + e-'"')].

Since the Hamiltonian is expressed in terms of spin operators it is best to take the eigenvectors of Z, and S, as the basis of the representation. We thus use kets such as IZ, m l ;S, ms), with four possibilities. To reduce the notation we write this as lm,,ms),representing the following possible combinations of orientation of the nuclear and electron spins: I;, 1); I- i, - i ) I;, - i); 1- $,f ) parallel spins antiparallel spins. We evaluate the matrix elements of %e for all combinations of these vectors.

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The quantum physics of atomic frequency standards [2 Vol set] by Jacques Vanier


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