Quantum Mechanics Using Maple ®
Springer Berlin (Verlag)
978-3-642-79540-4 (ISBN)
Upper-year undergraduate and beginning graduate students in physics who want to become acquainted with solving quantum mechanical problems by using Maple will welcome this book that fills a gap. All worksheets were tested under Maple V release 3 running under Windows. They are provided on a diskette readable by IBM -compatible, Macintosh , and UNIX computers.
1. Problems in One Dimension.- 1.1 Introduction.- 1.2 Harmonic Oscillator.- 1.3 A Time-Dependent Problem.- 1.4 Variational Method.- 1.5 Commutation Relations.- 1.6 Anharmonic Oscillator.- 2. Bound States in 1D.- 2.1 Local Energy.- 2.2 External Source.- 2.3 Periodic Lattice.- 2.4 Lanczos Tridiagonalization.- 2.5 Shooting Method.- 2.6 Discrete Space.- 3. Scattering in 1D.- 3.1 Wavepackets.- 3.2 Potential Well and Barrier.- 3.3 Tunneling Ionization.- 3.4 Alpha Decay.- 3.5 Motion Picture.- 4. Problems in 3D.- 4.1 Angular Momentum.- 4.2 Radial Equation.- 4.3 Atomic Model.- 4.4 Zeeman Splitting.- 4.5 DC Stark Effect.- 5. Spin and Time-Dependent Processes.- 5.1 Pauli Equation.- 5.2 Magnetic Moments.- 5.3 Temporary Perturbation.- 5.4 Collisional Excitation.- 6. Scattering in 3D.- 6.1 Partial Waves.- 6.2 Potential Scattering.- 6.3 Born Approximation.- 6.4 Variational Method.- 7. Many-Particle Problems.- 7.1 Helium Atom.- 7.2 Hydrogen Molecule.- 7.3 Vibrating Molecules.- 7.4 Angular-Momentum Coupling.- 7.5 Two-Particle Correlations.- 8. Special Functions.- 8.1 Hermite Polynomials.- 8.2 Laguerre Polynomials.- 8.3 Legendre Polynomials.- 8.4 Coulomb Waves.- References.
"A book that presents Quantum Mechanics in a format that is conducive to practical problem solving! Horbatschs package is an invaluable resource both for lecturers involved in teaching quantum mechanics...and for lecturers involved in devising practical Maple assignment problems." - Australian & New Zealand Physicist
Erscheint lt. Verlag | 13.12.2011 |
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Zusatzinfo | X, 331 p. |
Verlagsort | Berlin |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 527 g |
Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Quantenphysik |
Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
Schlagworte | Applied mathematics • Mechanics • Potential • quantum mechanics • Relativistic Quantum Mechanics |
ISBN-10 | 3-642-79540-4 / 3642795404 |
ISBN-13 | 978-3-642-79540-4 / 9783642795404 |
Zustand | Neuware |
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