Modern Physics with Modern Computational Methods
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Beskrivning
In this new edition, the differential equations that arise are converted into sets of linear equation or matrix equations by making a finite difference approximation of the derivatives or by using the spline collocation method. MATLAB programs are described for solving the eigenvalue equations for a particle in a finite well and the simple harmonic oscillator and for solving the radial equation for hydrogen. The lowest-lying solutions of these problems are plotted using MATLAB and the physical significance of these solutions are discussed.
Each of the later chapters conclude with a description of modern developments.
- Makes critical topics accessible by illustrating them with simple examples and figures
- Presents modern quantum mechanical concepts systematically and applies them consistently throughout the book
- Utilizes modern computational methods with MATLAB programs to solve the equations that arise in physics, and describes the programs and solutions in detail
- Covers foundational topics, including transition probabilities, crystal structure, reciprocal lattices, and Bloch theorem to build understanding of applications, such as lasers and semiconductor devices
- Features expanded exercises and problems at the end of each chapter as well as multiple appendices for quick reference