Quantum Mechanics on the Macintosh ® / by Siegmund Brandt, Hans Dieter Dahmen.
Based on the interactive program Interquanta, Quantum Mechanics on the Macintosh, uses extensive 3-D graphics to guide the student through computer experiments in the quantum mechanics of free particle motion, bound states and scattering, tunneling, two-particle interactions, and more. It also inclu...
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| Online Access: |
Full Text (via Springer) |
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| Main Author: | |
| Other Authors: | |
| Format: | eBook |
| Language: | English |
| Published: |
New York, NY :
Springer New York,
1995.
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| Edition: | Second edition. |
| Subjects: |
MARC
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| 020 | |z 9781461275619 | ||
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| 024 | 7 | |a 10.1007/978-1-4612-2492-1 | |
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| 035 | |a (OCoLC)853269196 |z (OCoLC)840278454 | ||
| 037 | |a spr10.1007/978-1-4612-2492-1 | ||
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| 100 | 1 | |a Brandt, Siegmund. | |
| 245 | 1 | 0 | |a Quantum Mechanics on the Macintosh ® / |c by Siegmund Brandt, Hans Dieter Dahmen. |
| 250 | |a Second edition. | ||
| 260 | |a New York, NY : |b Springer New York, |c 1995. | ||
| 300 | |a 1 online resource (305 pages 69 illustrations) | ||
| 336 | |a text |b txt |2 rdacontent. | ||
| 337 | |a computer |b c |2 rdamedia. | ||
| 338 | |a online resource |b cr |2 rdacarrier. | ||
| 505 | 0 | |a 1 Introduction -- 1.1 Interquanta -- 1.2 The Structure of this Book -- 1.3 The Computer Laboratory -- 1.4 The Classroom Demonstrations -- 1.5 Literature -- 2 Free Particle Motion in One Dimension -- 2.1 Physical Concepts -- 2.2 A First Session with the Computer -- 2.3 The Time Development of a Gaussian Wave Packet -- 2.4 The Spectral Function of a Gaussian Wave Packet -- 2.5 The Wave Packet as a Sum of Harmonic Waves -- 2.6 Exercises -- 3 Bound States in One Dimension -- 3.1 Physical Concepts -- 3.2 Eigenstates in the Infinitely Deep Square-Well Potential and in the Harmonic-Oscillator Potential -- 3.3 Eigenstates in the Step Potential -- 3.4 Harmonic Particle Motion -- 3.5 Particle Motion in the Infinitely Deep Square-Well Potential -- 3.6 Exercises -- 4 Scattering in One Dimension -- 4.1 Physical Concepts -- 4.2 Stationary Scattering States in the Step Potential -- 4.3 Scattering of a Harmonic Wave by the Step Potential -- 4.4 Scattering of a Wave Packet by the Step Potential -- 4.5 Transmission and Reflection. The Argand Diagram -- 4.6 Exercises -- 4.7 Analogies in Optics -- 4.8 Reflection and Refraction of Stationary Electromagnetic Waves -- 4.9 Reflection and Refraction of a Harmonic Light Wave -- 4.10 Scattering of a Wave Packet of Light -- 4.11 Transmission, Reflection and Argand Diagram for a Light Wave -- 4.12 Exercises -- 5 A Two-Particle System: Coupled Harmonic Oscillators -- 5.1 Physical Concepts -- 5.2 Stationary States -- 5.3 Time Dependence of Global Quantities -- 5.4 Joint Probability Densities -- 5.5 Marginal Distributions -- 5.6 Exercises -- 6 Free Particle Motion in Three Dimensions -- 6.1 Physical Concepts -- 6.2 The 3D Harmonic Plane Wave -- 6.3 The Plane Wave Decomposed into Spherical Waves -- 6.4 The 3D Gaussian Wave Packet -- 6.5 The Probability Ellipsoid -- 6.6 Angular-Momentum Decomposition of a Wave Packet -- 6.7 Exercises -- 7 Bound States in Three Dimensions -- 7.1 Physical Concepts -- 7.2 Radial Wave Functions in Simple Potentials -- 7.3 Radial Wave Functions in the Step Potential -- 7.4 Probability Densities -- 7.5 Harmonic Particle Motion -- 7.6 Exercises -- 8 Scattering in Three Dimensions -- 8.1 Physical Concepts -- 8.2 Radial Wave Functions -- 8.3 Stationary Wave Functions and Scattered Waves -- 8.4 Differential Cross Sections -- 8.5 Scattering Amplitude. Phase Shift. Partial and Total Cross Sections -- 8.6 Exercises -- 9 Special Functions of Mathematical Physics -- 9.1 Basic Formulae -- 9.2 Hermite Polynomials -- 9.3 Eigenfunctions of the One-Dimensional Harmonic Oscillator -- 9.4 Legendre Polynomials and Associated Legendre Functions -- 9.5 Spherical Harmonics -- 9.6 Bessel Functions -- 9.7 Spherical Bessel Functions -- 9.8 Laguerre Polynomials -- 9.9 Radial Eigenfunctions of the Harmonic Oscillator -- 9.10 Radial Eigenfunctions of the Hydrogen Atom -- 9.11 Simple Functions of a Complex Variable -- 9.12 Exercises -- 10. Additional Material and Hints for the Solution of Exercises -- 10.1 Units and Orders of Magnitude -- 10.2 Argand Diagrams and Unitarity for One-Dimensional Problems -- 10.3 Hints and Answers to the Exercises -- Appendix A.A Systematic Guide to IQ -- A.1 Dialog Between the User and IQ -- A.1.1 A Simple Example -- A.1.2 The General Form of Commands -- A.1.3 The Descriptor File -- A.1.4 The Descriptor (Record) -- A.1.5 The PLOT Command -- A.1.6 The STOP Command -- A.1.7 HELP: The Commands HE and PH -- A.2 Coordinate Systems and Transformations -- A.2.1 The Different Coordinate Systems -- A.2.2 Defining the Transformations -- A.3 The Different Types of Plot -- A.3.1 Choosing a Plot Type: The Command CH -- A.3.2 Cartesian 3D Plots (Type 0 Plots) -- A.3.3 Polar 3D Plots (Type 1 Plots) -- A.3.4 2D Plots (Type 2 Plots) -- A.3.5 3D Column Plots (Type 3 Plots) -- A.3.6 Special 3D Plots (Type 10 Plots) -- A.4 The Background in the Plots -- A.4.1 Boxes and Coordinate Axes: The Command BO -- A.4.2 Scales -- A.4.3 Arrows -- A.4.4 Text and Numbers -- A.4.5 Mathematical Symbols and Formulae -- A.5 Further Commands -- A.5.1 Line Styles -- A.5.2 Multiple Plots -- A.5.3 Combined Plots -- A.5.4 Using Different Plotting Devices -- A.5.5 The Different Running Modes -- A.5.6 Introducing Physical Variables: The Commands VO toV9 -- A.5.7 Reserved Commands -- Appendix B. How to Install IQ -- B.1 Hardware and Operating-System Requirements -- B.2 Diskette Format -- B.3 Installation on a Macintosh with Hard Disk -- B.4 Installation on a Macintosh without Hard Disk -- B.5 Limited Memory -- B.6 Removing Output Files -- Appendix C. Lists of All Provided Files -- C.1 Program File -- C.2 Data File Specifying Graphics Devices -- C.3 File Containing Fonts Used in Graphics -- C.4 Descriptor Files for Examples and Exercises -- C.5 Command Input Files and Associated Descriptor Files for Demonstrations -- C.6 Help Files -- Appendix D. Graphics Devices and Metafiles -- Index of IQ Commands. | |
| 520 | |a Based on the interactive program Interquanta, Quantum Mechanics on the Macintosh, uses extensive 3-D graphics to guide the student through computer experiments in the quantum mechanics of free particle motion, bound states and scattering, tunneling, two-particle interactions, and more. It also includes a section on special functions of mathematical physics. With more than 200 problems, the text and programs provide students with practical experiences in using such hard-to-visualize concepts as complex amplitudes, eigenvalues, and scattering cross sections. The diskette included with the book provides two versions of the programs, one for use in computers with a mathematical coprocessor, the other optimized for machines without a coprocessor. For this new edition the software has been updated and extended. | ||
| 650 | 0 | |a Physics. | |
| 650 | 0 | |a Quantum theory. | |
| 650 | 7 | |a Physics. |2 fast |0 (OCoLC)fst01063025. | |
| 650 | 7 | |a Quantum theory. |2 fast |0 (OCoLC)fst01085128. | |
| 700 | 1 | |a Dahmen, Hans Dieter. | |
| 776 | 0 | 8 | |i Print version: |z 9781461275619. |
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