A Modern Approach to Quantum MechanicsInspired by Richard Feynman and J.J. Sakurai, A Modern Approach to Quantum Mechanics allows lecturers to expose their undergraduates to Feynman's approach to quantum mechanics while simultaneously giving them a textbook that is wellordered, logical and pedagogically sound. This book covers all the topics that are typically presented in a standard upperlevel course in quantum mechanics, but its teaching approach is new. Rather than organizing his book according to the historical development of the field and jumping into a mathematical discussion of wave mechanics, Townsend begins his book with the quantum mechanics of spin. Thus, the first five chapters of the book succeed in laying out the fundamentals of quantum mechanics with little or no wave mechanics, so the physics is not obscured by mathematics. Starting with spin systems it gives students straightfoward examples of the structure of quantum mechanics. When wave mechanics is introduced later, students should perceive it correctly as only one aspect of quantum mechanics and not the core of the subject. 
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Review: A Modern Approach to Quantum Mechanics
User Review  Ryan  GoodreadsGood introduction to QM using the first few chapters to discuss statistical concepts and matrix mathematics. This book is a great working guide to solving QM problems focused almost entirely on use of Dirac notation. Very comprehensive introduction to perturbation theory. Read full review
Review: A Modern Approach to Quantum Mechanics
User Review  GoodreadsGood introduction to QM using the first few chapters to discuss statistical concepts and matrix mathematics. This book is a great working guide to solving QM problems focused almost entirely on use of Dirac notation. Very comprehensive introduction to perturbation theory. Read full review
Contents
Rotation of Basis States and Matrix Mechanics  24 
Angular Momentum  64 
A System of Two Spini Particles  120 
Wave Mechanics in One Dimension  147 
The OneDimensional Harmonic Oscillator  194 
Path Integrals  216 
Translational and Rotational Symmetry  237 
Bound States of Central Potentials  274 
TimeIndependent Perturbations  306 
the Lamb Shift and Hyperline Splitting  331 
Identical Particles  341 
Photons and Atoms  399 
A Electromagnetic Units  444 
Dirac Delta Functions  453 
E The Lagrangian for a Charge q in a Magnetic Field  460 
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ammonia molecule amplitude angle angular momentum operators axes axis beam calculate Chapter classical commutation relations component constant Coulomb cross section determine differential equation Dirac direction discussion eigenstates electric field electromagnetic field electron energy eigenfunctions energy eigenstates energy eigenvalue equation energy levels evaluate example expectation value express FIGURE Gaussian given Hamiltonian harmonic oscillator Hermitian operators hydrogen atom interaction intrinsic spin ket vector kinetic energy lowering operators magnetic field magnitude matrix elements matrix representation measurement of Sz nonzero obtain onedimensional orbital angular momentum overall phase perturbation theory photon physical plane polarization position space positionspace potential energy Problem quantum mechanics radial relativistic rotation operator satisfy scattering Schrodinger equation SG device shown in Fig shows solution spherical spin angular momentum spinj particle SternGerlach experiments superposition symmetry Sz basis total spin transition twoparticle uncertainty relation vanishes vector potential wave function zero