Using Mathematica for Quantum Mechanics
A Student’s Manual
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Beschreibung
This book revisits many of the problems encountered in introductory quantum mechanics, focusing on computer implementations for finding and visualizing analytical and numerical solutions. It subsequently uses these implementations as building blocks to solve more complex problems, such as coherent laser-driven dynamics in the Rubidium hyperfine structure or the Rashba interaction of an electron moving in 2D. The simulations are highlighted using the programming language Mathematica. No prior knowledge of Mathematica is needed; alternatives, such as Matlab, Python, or Maple, can also be used.
This book revisits many of the problems encountered in introductory quantum mechanics, focusing on computer implementations for finding and visualizing analytical and numerical solutions. It subsequently uses these implementations as building blocks to solve more complex problems, such as coherent laser-driven dynamics in the Rubidium hyperfine structure or the Rashba interaction of an electron moving in 2D. The simulations are highlighted using the programming language Mathematica. No prior knowledge of Mathematica is needed; alternatives, such as Matlab, Python, or Maple, can also be used.
Demonstrates how complex problems in quantum mechanics can be solved using computational tools Includes practical exercises after each chapter, promoting an active understanding of the subject Bridges the gap between simple analytic calculations and large-scale computations for molecular structures, crystalline solids, and lattice models Written for students with no prior background in the programming language Mathematica
Autor*in
Roman Schmied
Themen in »Using Mathematica for Quantum Mechanics«
Spin systems Eigenstate analysis Hyperfine structure Time-independent Schrödinger equation Matrix diagonalization Time-independent Hamiltonian Non-linear Schrödinger equation Oscillating magnetic field Coupled spin systems Separable Hamiltonian Rashba coupling Jaynes–Cummings model