Symmetry and Quantum Mechanics - Chapman & Hall/CRC Monographs and Research Notes in Mathematics (Hardback)Scott Corry (author)
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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.
Publisher: Taylor & Francis Inc
Number of pages: 256
Weight: 544 g
Dimensions: 235 x 156 x 20 mm
"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
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