Symmetry and Quantum Mechanics (Chapman & Hall/CRC Monographs and Research Notes in Mathematics) 1st Edition by Scott Corry | (PDF) Free Download

Description

Structured as a dialogue between a mathematician and a physicist, Symmetry and Quantum Mechanics unites the mathematical topics of this field into a compelling and physically-motivated narrative that focuses on the central role of symmetry.Aimed at advanced undergraduate and beginning graduate students in mathematics with only a minimal background in physics, this title is also useful to physicists seeking a mathematical introduction to the subject. Part I focuses on spin, and covers such topics as Lie groups and algebras, while part II offers an account of position and momentum in the context of the representation theory of the Heisenberg group, along the way providing an informal discussion of fundamental concepts from analysis such as self-adjoint operators on Hilbert space and the Stone-von Neumann Theorem. Mathematical theory is applied to physical examples such as spin-precession in a magnetic field, the harmonic oscillator, the infinite spherical well, and the hydrogen atom.

User’s Reviews

Editorial Reviews: Review “In the preface to [this book] the author introduces the text as a ‘first course in quantum mechanics from the mathematical point of view’, whose main audience is ‘the advanced undergraduate student or beginning graduate student whose understanding of both physics and mathematics is just beginning to grow’. I would not hesitate to invite my colleagues who conduct undergraduate courses in quantum mechanics to the auditorium.”- Farhang Loran, Mathematical Reviews, August 2017

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐First, this book is not meant as a first exposure to QM all by itself. You should work through it after working through one of the standard undergrad texts, and alongside it. (I recommend the same book the author does, Townsend’s Modern Introduction to QM. Author specifically wrote this with Townsend’s text in mind.)So why work through this book, especially at the rather high price? Because a deep understanding of coordinate symmetries and how physics is rooted in them is the gateway to most modern theoretical physics appreciation. And this book does a much better job than any other I’ve seen at explicating that relationship in a way that is clear and well-motivated. The author uses a simple but highly effective conceit involving two “characters”, M(athematician) and P(hysicist) who emphasize different, but equally crucial, aspects of physical models.This book strikes a great balance in what it puts in vs what it leaves out, giving enough to truly understand the concepts but not so much that a motivated upper undergrad would be overwhelmed. Also, the exercises are well-chosen, pitched at just the right difficulty for the rest of the text, and includes solutions to quite a few of them.I just can’t say enough good about this book for those who want a more ‘sophisticated’ understanding of QM than you can get from a standard text. It will really open lots of doors for you. I wish I’d known about it years ago, could have saved lots of time in trying to grasp, say, the relationship between SO(3) and SU(2) or momentum as a differential operator.

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