Sign up to save your library
With an OverDrive account, you can save your favorite libraries for at-a-glance information about availability. Find out more about OverDrive accounts.
Find this title in Libby, the library reading app by OverDrive.
Search for a digital library with this title
Title found at these libraries:
Loading... |
This Book Provides A Coherent Introduction To Gutzwiller'S Trace Fromula Accessible To Well-Prepared Science, Mathematics, And Engineering Students Who Have Taken Introductory Courses In Linear Algebra, Calculus, Classical, And Quantam Mechanics. In Addition To Providing An Enrichment Of The Undergraduate Curriculum, This Book May Serve As The Primary Text For Graduate Courses On Semiclassical Methods. Since Periodic-Orbit Expansions May Be Used To Solve All Types Of Wave Systems That Typically Occur In Mathematics, Physics, And Engineering, This Book Is Attractive For Professional Scientists And Engineers As Well.
Following A Thorough Review Of Elementary Concepts In Classical And Quantum Mechanics, The Reader Is Introduced To The Idea Of Classical Periodic Orbits, The Foundation Of Gutzwiller'S Approach To Quantum Spectra. The Trace Formula Itself Is Derived Following An Introduction To Feynman'S Path Integrals. Numerous Applications, Including The Exact Solutions Of "Unsolvable' One-Dimensional Quantum Problems, Illustrate The Power Of Gutzwiller'S Method. Worked Examples Throughout The Text Illustrate The Material And Provide Immediate Hands-On Demonstrations Of Tools And Concepts.
Key Features
Simultaneously Develops Both Classical And Quantum Mechanics, Emphasizing The Classical-Quantum Connection
Contains Introductory Chapters On Classical Chaos And Quantum Mechanics
Includes A Section On Feynman'S Path Integrals Accessible To Undergraduate Students
Contains An Application Chapter On Exact Periodic-Orbit Solutions Of Quantum Graphs, The Standard Model Of Quantum Complexity
Places Emphasis On Cases Where Gutzwiller'S Trace Formula Yields Exact Results
Includes Exercises At The End Of Each Section And Chapter To Test The Students' Mastery Of The Material
Instructor Resources Include Solutions To The Exercises