Although ideas from quantum physics play an important role in many
parts of modern mathematics, there are few books about quantum
mechanics aimed at mathematicians. This book introduces the main ideas
of quantum mechanics in language familiar to mathematicians. Readers
with little prior exposure to physics will enjoy the book's
conversational tone as they delve into such topics as the Hilbert
space approach to quantum theory; the Schrödinger equation in one
space dimension; the Spectral Theorem for bounded and unbounded
self-adjoint operators; the Stone–von Neumann Theorem; the
Wentzel–Kramers–Brillouin approximation; the role of Lie groups
and Lie algebras in quantum mechanics; and the path-integral approach
to quantum mechanics. The numerous exercises at the end of each
chapter make the book suitable for both graduate courses and
independent study. Most of the text is accessible to graduate students
in mathematics who have had a first course in real analysis, covering
the basics of L2 spaces and Hilbert spaces. The final chapters
introduce readers who are familiar with the theory of manifolds to
more advanced topics, including geometric quantization.
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Produktdetaljer
ISBN
9781461471165
Publisert
2017
Utgiver
Vendor
Springer
Språk
Product language
Engelsk
Format
Product format
Digital bok
Forfatter