04824nam 22006735 450 991030054160332120210317172106.03-319-68598-810.1007/978-3-319-68598-4(CKB)4100000001382109(DE-He213)978-3-319-68598-4(MiAaPQ)EBC6311923(MiAaPQ)EBC5596079(Au-PeEL)EBL5596079(OCoLC)1076231648(PPN)222229365(EXLCZ)99410000000138210920171227d2018 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierIntroductory Quantum Mechanics A Traditional Approach Emphasizing Connections with Classical Physics /by Paul R. Berman1st ed. 2018.Cham :Springer International Publishing :Imprint: Springer,2018.1 online resource (XVI, 637 p. 101 illus., 82 illus. in color.)UNITEXT for Physics,2198-78823-319-68596-1 Introduction -- Mathematical Introduction -- Free Particle Schroedinger Equation - Free-Particle Wave Packets -- Schroedinger's Equation with Potential Energy: Introduction to Operators -- Postulates and Basic Elements of Quantum Mechanics: Properties of Operators -- Problems in 1-dimension: General Considerations, Infinite Well Potential, Piecewise Constant Potentials, and Delta Function Potentials -- Simple Harmonic Oscillator - One Dimension -- Problems in 2 and 3-dimensions - General Considerations -- Central Forces and Angular Momentum -- Spherically Symmetric Potentials - Radial Equation -- Dirac Notation -- Spin -- Important Basics from Phys 453 -- Perturbation Theory -- Variational Approach -- WKB Approximation -- Scattering - 1-D -- Scattering - 3-D -- Symmetries and Transformations -- Rotations - Examples -- Addition of Angular Momentum: Clebsch-Gordan Coefficients -- Vector and Tensor Operators: Wigner-Eckart Theorem -- Spin-Orbit Interactions - Hydrogen Atom with Spin in External Fields -- Time-Dependent Problems -- Approximation Techniques in Time-Dependent Problems -- Fermi's Golden Rule.This book presents a basic introduction to quantum mechanics at the undergraduate level. Depending on the choice of topics, it can be used for a one-semester or two-semester course. An attempt has been made to anticipate the conceptual problems students encounter when they first study quantum mechanics. Wherever possible, examples are given to illustrate the underlying physics associated with the mathematical equations of quantum mechanics. To this end, connections are made with corresponding phenomena in classical mechanics and electromagnetism. The problems at the end of each chapter are intended to help students master the course material and to explore more advanced topics. Many calculations exploit the extraordinary capabilities of computer programs such as Mathematica, MatLab, and Maple. Students are urged to use these programs, just as they had been urged to use calculators in the past. The treatment of various topics is rather complete, in that most steps in derivations are included. Several of the chapters go beyond what is traditionally covered in an introductory course. The goal of the presentation is to provide the students with a solid background in quantum mechanics. .UNITEXT for Physics,2198-7882Quantum theoryParticles (Nuclear physics)Quantum field theoryMathematical physicsMechanicsQuantum Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19080Elementary Particles, Quantum Field Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P23029Mathematical Applications in the Physical Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/M13120Classical Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/P21018Quantum theory.Particles (Nuclear physics)Quantum field theory.Mathematical physics.Mechanics.Quantum Physics.Elementary Particles, Quantum Field Theory.Mathematical Applications in the Physical Sciences.Classical Mechanics.530Berman Paul R.1945-authttp://id.loc.gov/vocabulary/relators/aut53887MiAaPQMiAaPQMiAaPQBOOK9910300541603321Introductory Quantum Mechanics2512327UNINA