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Books > Science & Mathematics > Chemistry > Physical chemistry > Quantum & theoretical chemistry
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Computational Physics - Simulation of Classical and Quantum Systems (Hardcover, 3rd ed. 2017)
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Computational Physics - Simulation of Classical and Quantum Systems (Hardcover, 3rd ed. 2017)
Series: Graduate Texts in Physics
Expected to ship within 10 - 15 working days
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This textbook presents basic numerical methods and applies them to
a large variety of physical models in multiple computer
experiments. Classical algorithms and more recent methods are
explained. Partial differential equations are treated generally
comparing important methods, and equations of motion are solved by
a large number of simple as well as more sophisticated methods.
Several modern algorithms for quantum wavepacket motion are
compared. The first part of the book discusses the basic numerical
methods, while the second part simulates classical and quantum
systems. Simple but non-trivial examples from a broad range of
physical topics offer readers insights into the numerical treatment
but also the simulated problems. Rotational motion is studied in
detail, as are simple quantum systems. A two-level system in an
external field demonstrates elementary principles from quantum
optics and simulation of a quantum bit. Principles of molecular
dynamics are shown. Modern boundary element methods are presented
in addition to standard methods, and waves and diffusion processes
are simulated comparing the stability and efficiency of different
methods. A large number of computer experiments is provided, which
can be tried out even by readers with no programming skills.
Exercises in the applets complete the pedagogical treatment in the
book. In the third edition Monte Carlo methods and random number
generation have been updated taking recent developments into
account. Krylov-space methods for eigenvalue problems are discussed
in much more detail. Short time Fourier transformation and wavelet
transformation have been included as tools for time-frequency
analysis. Lastly, elementary quantum many-body problems demonstrate
the application of variational and Monte-Carlo methods.
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