Introduction to the Maths and Physics of Quantum Mechanics details the mathematics and physics that are needed to learn the principles of quantum mechanics. It provides an accessible treatment of how to use quantum mechanics and why it is so successful in explaining natural phenomena. This book clarifies various aspects of quantum physics such as ‘why quantum mechanics equations contain “I”, the imaginary number?’, ‘Is it possible to make a transition from classical mechanics to quantum physics without using postulates?’ and ‘What is the origin of the uncertainty principle?’. A significant proportion of discussion is dedicated to the issue of why the wave function must be complex to properly describe our “real” world. The book also addresses the different formulations of quantum mechanics. A relatively simple introductory treatment is given for the “standard” Heisenberg matrix formulation and Schrodinger wave-function formulation and Feynman path integrals and second quantization are then discussed. This book will appeal to first- and second-year university students in physics, mathematics, engineering and other sciences studying quantum mechanics who will find material and clarifications not easily found in other textbooks. It will also appeal to self-taught readers with a genuine interest in modern physics who are willing to examine the mathematics and physics in a simple but rigorous way. Key Features: • Written in an engaging and approachable manner, with fully explained mathematics and physics concepts. · Suitable as a companion to all introductory quantum mechanics textbooks · Accessible to a general audience Lucio Piccirillo is a Professor of Radio Astronomy Technology at the University of Manchester, UK, with extensive experience in designing and building cryogenic systems primarily used to cool astrophysical detectors. He has written more than 100 publications in international journals. He has written more than 100 publications in international journals and is the author of Miniature Sorption Coolers: Theory and Applications (CRC Press, 2018) and Introduction to the Maths and Physics of the Solar System (CRC Press, 2020).

In recent years, there have been significant developments in detector technologies in the field of astrophysics, requiring lower temperatures with simple self-contained refrigerators. Temperatures in the range of 1K to 50mK are now achieved by using dedicated closed-cycle miniature sorption coolers. This book presents the theoretical and experimental knowledge necessary to design and build your own miniature refrigerators, including both single shot and continuous 1 K, 300 mK and 100 mK coolers, and details how to write the needed design software. This text will be of interest to students and researchers, already familiar with basic physics and thermodynamics, who want to understand how sorption coolers and miniature dilution refrigerators work. Features: The first book dedicated to miniature sorption coolers Covers the basic thermodynamic concepts needed to understand the behavior of liquid helium-3 and liquid helium-4 Includes an appendix of Python example codes

This book provides readers with an understanding of the basic physics and mathematics that governs our solar system. It explores the mechanics of our Sun and planets; their orbits, tides, eclipses and many other fascinating phenomena. This book is a valuable resource for undergraduate students studying astronomy and should be used in conjunction with other introductory astronomy textbooks in the field to provide additional learning opportunities. Features: Written in an engaging and approachable manner, with fully explained mathematics and physics concepts Suitable as a companion to all introductory astronomy textbooks Accessible to a general audience

This book provides readers with an understanding of the basic physics and mathematics that governs our solar system. It explores the mechanics of our Sun and planets; their orbits, tides, eclipses and many other fascinating phenomena. This book is a valuable resource for undergraduate students studying astronomy and should be used in conjunction with other introductory astronomy textbooks in the field to provide additional learning opportunities. Features: Written in an engaging and approachable manner, with fully explained mathematics and physics concepts Suitable as a companion to all introductory astronomy textbooks Accessible to a general audience

In recent years, there have been significant developments in detector technologies in the field of astrophysics, requiring lower temperatures with simple self-contained refrigerators. Temperatures in the range of 1K to 50mK are now achieved by using dedicated closed-cycle miniature sorption coolers. This book presents the theoretical and experimental knowledge necessary to design and build your own miniature refrigerators, including both single shot and continuous 1 K, 300 mK and 100 mK coolers, and details how to write the needed design software. This text will be of interest to students and researchers, already familiar with basic physics and thermodynamics, who want to understand how sorption coolers and miniature dilution refrigerators work. Features: The first book dedicated to miniature sorption coolers Covers the basic thermodynamic concepts needed to understand the behavior of liquid helium-3 and liquid helium-4 Includes an appendix of Python example codes

Never before have the scope and limits of scientific freedom been more important or more under attack. New science, from artificial intelligence to gene editing, creates unique opportunities for making the world a better place. It also presents unprecedented dangers. This book is about the opportunities and challenges - moral, regulatory and existential - that face both science and society. How are scientific developments impacting on human life and on the structure of societies? How is science regulated and how should it be regulated? Are there ethical boundaries to scientific developments in sensitive areas? Such are the questions that the book seeks to answer. Both the survival of humankind and the continued existence of our planet are at stake. -- .