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stefanucci g quantum mechanics material science introduction 2024

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Textbook in PDF format Preface The Fundamental Concepts of Quantum Mechanics The Need to Abandon Classical Physics Quantum Solution—The First Five Postulates Expectation Value, Variance, and General Considerations Observables with Continuum Spectrum and Wavefunction Langrangian and Hamiltonian Formalism Lagrangian Formalism—Euler-Lagrange Equations Classical Particle in an Electromagnetic Field Hamiltonian Formalism—Legendre Transform—Hamilton's Equations Symmetries and Conservation Laws—Poisson Bracket The Sixth Postulate Generalization of the Fifth Postulate: Schrödinger Equation Heisenberg's Uncertainty Principle Summary of What We Have Learned So Far Exercises Quantum Systems in Finite-Dimensional Hilbert Spaces From Operators to Matrices, from Kets to Column Vectors … Quantum Systems with Two States—Pauli Matrices Exercises Quantum Particle in One Dimension Momentum Operator and Hamiltonian Continuity Equation Piecewise Constant Potential Piecewise Constant Potential with Dirac Deltas Reflection and Transmission Coefficients Harmonic Potential Raising and Lowering Operators Eigenfunctions and Hermite Polynomials Coherent States Exercises Quantum Particle in Three Dimensions Momentum Operator and Hamiltonian Virial Theorem Separable Hamiltonians Quantum Particle in an Electromagnetic Field Continuity Equation Static Electromagnetic Field Angular Momentum Simultaneous Eigenkets of ModifyingAbove upper L With caret squared2 and ModifyingAbove upper L With caret Subscript zz Angular Momentum in Polar Coordinates Spherical Harmonics Laplacian in Polar Coordinates Central Potential Hydrogen Atom Semiclassical Derivation of Hydrogenoid Levels Radial Functions Exercises Spin and Addition of Angular Momenta Spin Matrix Representation of Spin Operators Spin 1 divided by 21/2 and Spin 11 Spin-Orbit Interaction Addition of Angular Momenta Hydrogen Atom with Spin-Orbit Interaction Heisenberg Hamiltonian for Magnetic Systems Exercises Approximation Methods Perturbation Theory: Correction to Energy Levels Correction to Nondegenerate Levels Correction to Degenerate Levels Perturbation Theory: Time Evolution Fermi Golden Rule Radiation-Matter Interaction Variational Method Exercises Appendix A Dirac Delta: Definition and Properties Appendix B Levi-Civita Tensor: Definition and Properties Appendix C Euler's Gamma: Definition and Properties Index

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Stefanucci G. Quantum Mechanics for Material Science. An Introduction 2024.pdf 5.3 MB

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stefanucci g quantum mechanics material science introduction 2024