Quantum Theory for Mathematicians

Nonfiction, Science & Nature, Science, Physics, Mathematical Physics, Mathematics, Applied
Cover of the book Quantum Theory for Mathematicians by Brian C. Hall, Springer New York
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Brian C. Hall ISBN: 9781461471165
Publisher: Springer New York Publication: June 19, 2013
Imprint: Springer Language: English
Author: Brian C. Hall
ISBN: 9781461471165
Publisher: Springer New York
Publication: June 19, 2013
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer New York

Cover of the book Healthy Cities by Brian C. Hall
Cover of the book Optical Imaging of Cancer by Brian C. Hall
Cover of the book Quantum Plasmas by Brian C. Hall
Cover of the book HIV/AIDS Treatment in Resource Poor Countries by Brian C. Hall
Cover of the book Systems Analysis of Chromatin-Related Protein Complexes in Cancer by Brian C. Hall
Cover of the book Residue Reviews by Brian C. Hall
Cover of the book Immunologic Signatures of Rejection by Brian C. Hall
Cover of the book Algebraic Topology by Brian C. Hall
Cover of the book The Lithium Air Battery by Brian C. Hall
Cover of the book Human Auditory Development by Brian C. Hall
Cover of the book Environmental Adaptations and Stress Tolerance of Plants in the Era of Climate Change by Brian C. Hall
Cover of the book Metal Ion in Stroke by Brian C. Hall
Cover of the book Clinical Use of Anti-infective Agents by Brian C. Hall
Cover of the book Early Childhood Assessment in School and Clinical Child Psychology by Brian C. Hall
Cover of the book Transitional Justice and Civil Society in the Balkans by Brian C. Hall
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy