Up-to-Date Coverage of Stable and Accurate Frequency Standards The Quantum Physics of Atomic Frequency Standards: Recent Developments covers advances in atomic frequency standards (atomic clocks) from the last several decades. It explains the use of various techniques, such as laser optical pumping, coherent population trapping, laser cooling, and electromagnetic and optical trapping, in the implementation of classical microwave and optical atomic frequency standards. The book first discusses improvements to conventional atomic frequency standards, highlighting the main limitations of those frequency standards and the physical basis of the limitations. It then describes how advances in the theory and applications of atomic physics have opened new avenues in frequency standards. The authors go on to explore the research and development of new microwave and optical frequency standards before presenting the results in frequency stability and accuracy achieved with these new frequency standards. They also illustrate the application of atomic clocks in metrology, telecommunications, navigation, and other areas and give some insight into future work. Building on the success of the previous two volumes, this up-to-date, in-depth book examines the vast improvements to atomic clocks that have occurred in the last 25 years. The improved stability and accuracy enable the verification of physical concepts used in fundamental theories, such as relativity, as well as the stability of fundamental constants intrinsic to those theories.

CHOICE Recommended Title, June 2019 Brought together in one focused and exclusive treatment, this book provides an elementary introduction to the important role and use of the least action principle and the resulting Lagrange's equations in the analysis of the laws that govern the universe. It is an ideal complimentary resource to accompany undergraduate courses and textbooks on classical mechanics. Features: Uses mathematics accessible to beginners Brings together the Principle of Least Action, Lagrange's equations, and variational principles in mechanics in one cohesive text Written in a clear and easy-to-understand manner

CHOICE Recommended Title, June 2019 Brought together in one focused and exclusive treatment, this book provides an elementary introduction to the important role and use of the least action principle and the resulting Lagrange's equations in the analysis of the laws that govern the universe. It is an ideal complimentary resource to accompany undergraduate courses and textbooks on classical mechanics. Features: Uses mathematics accessible to beginners Brings together the Principle of Least Action, Lagrange's equations, and variational principles in mechanics in one cohesive text Written in a clear and easy-to-understand manner

Up-to-Date Coverage of Stable and Accurate Frequency Standards The Quantum Physics of Atomic Frequency Standards: Recent Developments covers advances in atomic frequency standards (atomic clocks) from the last several decades. It explains the use of various techniques, such as laser optical pumping, coherent population trapping, laser cooling, and electromagnetic and optical trapping, in the implementation of classical microwave and optical atomic frequency standards. The book first discusses improvements to conventional atomic frequency standards, highlighting the main limitations of those frequency standards and the physical basis of the limitations. It then describes how advances in the theory and applications of atomic physics have opened new avenues in frequency standards. The authors go on to explore the research and development of new microwave and optical frequency standards before presenting the results in frequency stability and accuracy achieved with these new frequency standards. They also illustrate the application of atomic clocks in metrology, telecommunications, navigation, and other areas and give some insight into future work. Building on the success of the previous two volumes, this up-to-date, in-depth book examines the vast improvements to atomic clocks that have occurred in the last 25 years. The improved stability and accuracy enable the verification of physical concepts used in fundamental theories, such as relativity, as well as the stability of fundamental constants intrinsic to those theories.