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Chapter 1 revises essential school mathematics and classical physics used throughout this book and in higher physics generally. It also prepares for university entrance. Readers will find the required calculus and functions familiar, but will be guided to their use in solving physical problems. Such fluency and facility is essential for further study and for the transition to university.
Subsequent chapters explore ideas of confinement and uncertainty energies, atoms, pair production, tunnelling into forbidden regions, the quantum oscillator and the quantisation of strings and oscillations of fields, higher dimensions, particles in nano-structures, and quantum dynamics. Readers solve such problems in their full mathematical depth. Some problems are solved as examples, others have hints only.