Elementary Quantum Mechanics in One Dimension
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Elementary Quantum Mechanics in One Dimension

Elementary Quantum Mechanics in One Dimension


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About the Book

One of the key components of modern physics, quantum mechanics is used in such fields as chemistry, electrical engineering, and computer science. Central to quantum mechanics is Schrodinger's Equation, which explains the behavior of atomic particles and the energy levels of a quantum system. Robert Gilmore's innovative approach to Schrodinger's Equation offers new insight into quantum mechanics at an elementary level. Gilmore presents compact transfer matrix methods for solving quantum problems that can easily be implemented on a personal computer. He shows how to use these methods on a large variety of potentials, both simple and periodic. He shows how to compute bound states, scattering states, and energy bands and describes the relation between bound and scattering states. Chapters on alloys, superlattices, quantum engineering, and solar cells indicate the practical application of the methods discussed. Gilmore's concise and elegant treatment will be of interest to students and professors of introductory and intermediate quantum courses, as well as professionals working in electrical engineering and applied mathematics.

Table of Contents:
Preface Part I: Foundations Chapter 1. Schrödinger's Equation Chapter 2. Solutions in a Constant Potential Chapter 3. Wavefunctions across a Boundary Chapter 4. Piecewise Constant Potentials Chapter 5. Momentum Conservation Chapter 6. Preview of Boundary Conditions Chapter 7. Units Part II: Scattering Chapter 8. Boundary Conditions Chapter 9. A Simple Example Chapter 10. Coding and Validation Chapter 11. Shape of Barrier Chapter 12. Asymptotic Behavior Chapter 13. Phase Shifts Chapter 14. Double Barrier Chapter 15. Multiple Barriers Chapter 16. Probability Distributions Chapter 17. Combining Barriers Chapter 18. Quantum Engineering Chapter 19. Variations on a Theme Part III: Bound States Chapter 20. Boundary Conditions Chapter 21. A Simple Example Chapter 22. Coding and Validation Chapter 23. Shape of Potential Chapter 24. Dependence on Parameters Chapter 25. Relation between Bound and Scattering States Chapter 26. Double and Multiple Well Potentials Chapter 27. Level Splitting Chapter 28. Symmetry Breaking Chapter 29. Wavefunctions Chapter 30. Superpositions, Overlaps, and Probabilities Chapter 31. Symmetry and Wavefunctions Chapter 32. Transmission Resonances and Bound States Chapter 33. Creation of Bound States Chapter 34. Quantum Engineering Chapter 35. Variations on a Theme Chapter 36. The Sine Transform Part IV: Periodic Potentials Chapter 37. Boundary Conditions Chapter 38. A Simple Example Chapter 39. Coding and Validation Chapter 40. Asymptotic Behavior Chapter 41. Relation among Boundary Conditions Chapter 42. Wavefunctions and Probability Distributions Chapter 43. Alloys Chapter 44. Superlattices Chapter 45. Impurities Chapter 46. Quantum Engineering Index

About the Author :
Robert Gilmore is a professor of physics at Drexel University.

Review :
I found this book to be very interesting and I enjoyed exploring the problems with the power and simplicity of Gilmore's approach. Australian Physics 2005 Gilmore will indulge many instructors' desires to dwell on problem-solving techniques in introductory quantum mechanics despite the ever-expanding menu of critical topics that need to be covered. Choice 2005 A rich source of ideas for activities or projects suitable for students in an intermediate quantum mechanics or a computational physics course... Highly recommended to those teaching undergraduate quantum mechanics. -- Alan J. DeWeerd American Journal of Physics 2005 This is the full-blooded version of an undergraduate course... aimed at the second-year undergraduate. -- Drew McCormick School Science Review 2006


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Product Details
  • ISBN-13: 9780801880148
  • Publisher: Johns Hopkins University Press
  • Publisher Imprint: Johns Hopkins University Press
  • Height: 229 mm
  • No of Pages: 240
  • Spine Width: 22 mm
  • Width: 152 mm
  • ISBN-10: 0801880149
  • Publisher Date: 17 Dec 2004
  • Binding: Hardback
  • Language: English
  • Returnable: 01
  • Weight: 476 gr


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