New PDF release: Nuclear Structure with Coherent States

By Apolodor Aristotel Raduta (auth.)

ISBN-10: 3319146416

ISBN-13: 9783319146416

ISBN-10: 3319146424

ISBN-13: 9783319146423

This booklet covers the basic positive aspects of a big number of nuclear constitution homes, either collective and microscopic in nature. so much of effects are given in an analytical shape hence giving deep perception into the suitable phenomena. utilizing coherent states as variational states, which permits an outline within the classical section house, or offers the producing functionality for a boson foundation, is a good device to account, in a practical style, for plenty of advanced houses. an in depth comparability with all latest nuclear constitution versions presents readers with a formal framework and, even as, demonstrates the clients for brand spanking new advancements. the themes addressed are a great deal of present trouble within the box. The publication will entice training researchers and, because of its self-contained account, can be effectively learn and utilized by new graduate students.

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16) † , as: of a boson SUb (2) algebra defined with the operators b0† , b±2 Lˆ 1 = 4 † 2b0† b0 − (b2† + b−2 )(b2 + b−2 ) , † )b0 , Lˆ 2 = √ b0† (b2 + b−2 ) + (b2† + b−2 2 2 The equation † b0† (b2 + b−2 ) − (b2† + b−2 Lˆ 3 = √ )b0 . 19) define a homeomorphism of the boson and classical algebras generated by { Lˆ k }k=1,2,3 and {Lk }k=1,2,3 respectively. Note that the boson SUb (2) algebra does not describe the rotations in the real configuration space but in a fictitious space. Due to this fact we shall refer to Lˆ k as to the components of a pseudo-angular momentum.

E. in the rotational limit, this tends to the classical limit. In contrast to the case of the J -projected function here increasing d, favors the classical behavior. This is reflected in the decreasing J -dependence of the dispersion product as well as in approaching the classical value. It is worth raising the question whether the features mentioned above depend on the chosen pair of conjugate coordinates. We do not attempt to give a general answer but analyze, for comparison, what happens when the pair of conjugate variables is 26 Fig.

As seen in Fig. e. in the rotational limit, this tends to the classical limit. In contrast to the case of the J -projected function here increasing d, favors the classical behavior. This is reflected in the decreasing J -dependence of the dispersion product as well as in approaching the classical value. It is worth raising the question whether the features mentioned above depend on the chosen pair of conjugate coordinates. We do not attempt to give a general answer but analyze, for comparison, what happens when the pair of conjugate variables is 26 Fig.

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Nuclear Structure with Coherent States by Apolodor Aristotel Raduta (auth.)


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