Quantum Mechanics

From Basic Principles to Numerical Methods and Applications

Louis Marchildon (Autor)

Buch | Softcover

XVI, 560 Seiten

2010 | 1. Softcover reprint of hardcover 1st ed. 2002
Springer Berlin (Verlag)
978-3-642-07767-8 (ISBN)

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Whoever begins writing a book on quantum mechanics is struck by the breadth of the subject. In its applications first: atomic and molecular p- sics, nuclear physics, optics, solid state physics, theory of gases and liquids, elementary particles theory, almost all fields of contemporary physics are based on quantum mechanics. In its formulation, also, which borrows from many subfields of mathematics and reaches philosophical reflection as much as modern technology. The writing therefore implies, at the outset, making choices. I first chose to write a book for those who strive to understand qu- tum mechanics. These are physics students, of course, but also students and investigators in theoretical chemistry, biophysics and engineering physics w- hing to comprehend more deeply the computational methods they use. I have thus tried to clarify delicate points rather than leave them aside. Conceptual problems are treated in more detail than in most general textbooks. But understanding also involves the capability to perform concrete calculations. This motivates the development of numerical methods which, most of the time, are the only ones that yield quantitative results. I chose also to present quantum mechanics as a self-contained theory. The exposition largely develops around the central notion of state space.

1 A Crisis in Classical Physics.- 2 Finite-Dimensional Vector Spaces.- 3 Finite-Dimensional State Spaces.- 4 Spin and Magnetic Moment.- 5 Particle in One Dimension.- 6 The Interpretation of Quantum Mechanics.- 7 Particle in Three Dimensions.- 8 Numerical Solution.- 9 The Central-Field Model.- 10 Stationary Perturbations.- 11 Stationary Scattering States.- 12 The Density Operator.- 13 Symmetry of the Hamiltonian.- 14 Rotations and Angular Momentum.- 15 Dirac's Relativistic Equation.- 16 The Path Integral.- 17 Atomic Orbitals.- 18 Atomic Terms and Multiplets.- 19 Semiclassical Radiation Theory.- 20 Molecules.- 21 Long-Distance Correlations and Measurement.- Answers to Selected Exercises.- References.

From the reviews:

"This is an interesting a valuable book for someone who wants to obtain a solid understanding of the fundamental aspects of quantum mechanics, an appreciation of some aspects of the numerical solution of practical applications, and an introduction or better to a very broad spectrum of topics."-Chemistry in Asutralia Magazine of the Royal Astralian Chemical Institute

"This is an expository book on Quantum Mechanics. The exposition largely develops around the central notion of state space. ... Although the exposition is largely self contained, numerous references are given to books and research papers. This is a very useful book for undergraduate and graduate students who study Quantum Mechanics." (T. C. Mohan, Zentralblatt MATH, Vol. 1033 (8), 2004)

"There are some excellent and classic texts on quantum mechanics (QM) ... . The present monograph represents an attempt to rewrite and rearrange the outlook and topics ... . Overall the book offers a rich mix of topics and is highly readable. The exercises at the end of each chapter represent a reasonable collection for the students to test their comprehension and assimilation of the subject matter. It is a welcome addition to the large number of books on QM." (Mayer Humi, Mathematical Reviews, 2003 m)

"His 'exposition largely develops round the central notion of state space'. ... This could be a useful book for an advanced graduate course or theoretical specialists and a useful reference for others ... ." (Alastair Rae, Times Higher Education supplement, May, 2003)

"I like this book, and I'll probably use it as a reference and resource for my Honours year quantum mechanics course. ... One of the strengths of this book is the thorough treatment of atomic theory ... ." (Craig Savage, The Physicist, Vol. 39 (6), 2002)

"This is an interesting and valuable book for someone who wants to obtain a solid understanding of the fundamental aspects of quantum mechanics ... . For those higher year undergraduate and graduate students of physical and theoretical chemistry who want to teach themselves quantum mechanics, this book might provide a better route than other standard texts." (Michael Collins, Chemistry in Australia, January/February, 2003)

Erscheint lt. Verlag	5.12.2010
Reihe/Serie	Advanced Texts in Physics
Zusatzinfo	XVI, 560 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	865 g
Themenwelt	Naturwissenschaften ► Chemie ► Physikalische Chemie
	Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik
	Naturwissenschaften ► Physik / Astronomie ► Atom- / Kern- / Molekularphysik
	Naturwissenschaften ► Physik / Astronomie ► Hochenergiephysik / Teilchenphysik
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	atomic orbitals • hydrogen atom • Molecule • perturbation theory • quantum mechanics • Quantum Physics • quatum correlations • scattering
ISBN-10	3-642-07767-6 / 3642077676
ISBN-13	978-3-642-07767-8 / 9783642077678
Zustand	Neuware