Quantum Mechanics A Mathematical Introduction--量子力学数学导论

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QUANTUM

MECHANICS

ANDREW J. LARKOSKI

A Mathematical Introduction

Quantum Mechanics

This original and innovative textbook takes the unique perspective of introducing and

solving problems in quantum mechanics using linear algebra methods, to equip readers

with a deeper and more practical understanding of this fundamental pillar of contem-

porary physics. Extensive motivation for the properties of quantum mechanics, Hilbert

space, and the Schr¨odinger equation is provided through analysis of the derivative,

while standard topics like the harmonic oscillator, rotations, and the hydrogen atom

are covered from within the context of operator methods.

Advanced topics forming the basis of modern physics research are also included,

such as the density matrix, entropy, and measures of entanglement. Written for an

undergraduate audience, this book offers a unique and mathematically self-contained

treatment of this hugely important topic. Students are guided gently through the text

by the author’s engaging writing style, with an extensive glossary provided for refer-

ence and numerous homework problems to expand and develop key concepts. Online

resources for instructors include a fully worked solutions manual and lecture slides.

Andrew J. Larkoski is Acting Assistant Professor at SLAC National Accelerator Labora-

tory. He earned his Ph.D. from Stanford University and has held research appoint-

ments at Massachusetts Institute of Technology and Harvard University, and he was

also a Visiting Assistant Professor at Reed College. A leading expert on particle phys-

ics, he has published over 50 articles, and won the LHC Theory Initiative Fellowship

and the Wu-Ki Tung Award for Early-Career Research on QCD. His previous textbook

with Cambridge, Elementary Particle Physics: An Intuitive Introduction (2019), offers

a modern and accessible introduction to the guiding principles of particle physics.

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摘要：

This comprehensive guide offers a rigorous yet accessible introduction to quantum mechanics from a mathematical perspective, designed for advanced undergraduate and graduate students in physics, applied mathematics, and engineering. Starting with ess

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