# [[ Reading ]] ➷ Quantum Theory for Mathematicians (Graduate Texts in Mathematics) Author Brian C. Hall – Tactical-player.co.uk

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 Schr Dinger 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 MechanicsThe 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 L Spaces And Hilbert Spaces The Final Chapters Introduce Readers Who Are Familiar With The Theory Of Manifolds To Advanced Topics, Including Geometric Quantization

I come from a Mathematical Finance background, and this was just the book I was looking for, having previously struggled through several other Physics textbooks I think some introductory background in functional analysis is useful Hilbert spaces etc for chapters 6 10 on Spectral Theory, but overall prereq