About this ebook
Quantum mechanics is one of the most profound and mathematically rich theories in modern physics, describing the behavior of particles, atoms, and complex systems at the microscopic level. Mastering it requires not only an understanding of its conceptual foundations but also the ability to apply its formalism with confidence and precision. This book by Alessio Mangoni is designed to guide students and enthusiasts through this demanding learning process by placing practice and active problem-solving at the center of the educational experience.
The volume offers a wide range of solved and commented exercises organized along a complete and progressive path. It opens with essential mathematical reminders covering vectors, operators, and wavefunctions, then moves through the fundamentals of quantum mechanics, including landmark experiments such as the double-slit experiment and the photoelectric effect. Subsequent chapters develop operator algebra, Hilbert spaces, and Schrödinger's equation, before tackling key quantum systems: the particle in a potential well, the harmonic oscillator, angular momentum, spin, and multi-particle systems governed by symmetry and Pauli's exclusion principle. Approximation methods, time evolution in different formalisms, quantum measurements, and advanced mathematical tools such as special functions, Fourier series, and commutation relations complete the treatment. Each chapter concludes with a selection of exercises ranging from conceptual to computational, providing the solid and lasting understanding needed to succeed in the study of quantum mechanics or in university examinations.
The volume offers a wide range of solved and commented exercises organized along a complete and progressive path. It opens with essential mathematical reminders covering vectors, operators, and wavefunctions, then moves through the fundamentals of quantum mechanics, including landmark experiments such as the double-slit experiment and the photoelectric effect. Subsequent chapters develop operator algebra, Hilbert spaces, and Schrödinger's equation, before tackling key quantum systems: the particle in a potential well, the harmonic oscillator, angular momentum, spin, and multi-particle systems governed by symmetry and Pauli's exclusion principle. Approximation methods, time evolution in different formalisms, quantum measurements, and advanced mathematical tools such as special functions, Fourier series, and commutation relations complete the treatment. Each chapter concludes with a selection of exercises ranging from conceptual to computational, providing the solid and lasting understanding needed to succeed in the study of quantum mechanics or in university examinations.
Quantum mechanics is one of the most profound and mathematically rich theories in modern physics, describing the behavior of particles, atoms, and complex systems at the microscopic level. Mastering it requires not only an understanding of its conceptual foundations but also the ability to apply ...
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About the author
Scientist and theoretical particle physicist, researcher on high energy physics and nuclear physics, author of numerous research articles published in international journals.
Scientist and theoretical particle physicist, researcher on high energy physics and nuclear physics, author of numerous research articles published in international journals.
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