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Infra-M Academic Publishing House eBooks

Nuclear and nuclear physics. Elements of quantum mechanics. Practical work

Aleksandr Braun, Izabella Levitina

Published May 25, 2015• 0 citations
Publisher
DOI
10.12737/11426

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This book offers a concise introduction to the angular momentum, one of the most fundamental quantities in all of quantum mechanics. Beginning with the quantization of angular momentum, spin angular momentum, and the orbital angular momentum, the author goes on to discuss the Clebsch-Gordan coefficients for a two-component system. After developing the necessary mathematics, specifically spherical tensors and tensor operators, the author then investigates the 3- j , 6- j , and 9- j symbols. Throughout, the author provides practical applications to atomic, molecular, and nuclear physics. These include partial-wave expansions, the emission and absorption of particles, the proton and electron quadrupole moment, matrix element calculation in practice, and the properties of the symmetrical top molecule.

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The results are presented and the future prospects for research are discussed on the practical implementation of the simplest quantum register consisting of two ions trapped and cooled in a linear Paul trap. Physical mechanisms allowing manipulation of systems with high-Q transitions that can be used as new generation optical frequency standards are discussed. Mechanism of a sympathetic cooling for such systems and spectroscopy of highly forbidden “clock” transitions based on quantum logics are presented. Some prospects for the development of a nuclear frequency standard based on optical transition in thorium nucleus allowing increasing frequency uncertainty up to 10-20 ÷ 10-22 are also discussed.

Physics Procedia•Jan 1, 2015•0 citations
This book offers a concise introduction to the angular momentum, one of the most fundamental quantities in all of quantum mechanics. Beginning with the quantization of angular momentum, spin angular momentum, and the orbital angular momentum, the author goes on to discuss the Clebsch-Gordan coefficients for a two-component system. After developing the necessary mathematics, specifically spherical tensors and tensor operators, the author then investigates the 3- j , 6- j , and 9- j symbols. Throughout, the author provides practical applications to atomic, molecular, and nuclear physics. These include partial-wave expansions, the emission and absorption of particles, the proton and electron quadrupole moment, matrix element calculation in practice, and the properties of the symmetrical top molecule.
The results are presented and the future prospects for research are discussed on the practical implementation of the simplest quantum register consisting of two ions trapped and cooled in a linear Paul trap. Physical mechanisms allowing manipulation of systems with high-Q transitions that can be used as new generation optical frequency standards are discussed. Mechanism of a sympathetic cooling for such systems and spectroscopy of highly forbidden “clock” transitions based on quantum logics are presented. Some prospects for the development of a nuclear frequency standard based on optical transition in thorium nucleus allowing increasing frequency uncertainty up to 10-20 ÷ 10-22 are also discussed.