Compact Operators and the Schrödinger Equation Page: II
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CONTENTS
LIST OF FIGURES iii
CHAPTER 1. A BRIEF INTRODUCTION TO QUANTUM MECHANICS 1
CHAPTER 2. COMPACT OPERATORS AND THE SCHRODINGER EQUATION 3
2.1. Compact Operators 3
CHAPTER 3. NUMERICAL SCHEME 12
3.1. Numeric Scheme 12
3.2. Numerical Results 15
3.2.1. Particle in the Box 16
3.2.2. Harmonic Oscillator 17
3.2.3. Double Well and Coulomb Potentials 19
CHAPTER 4. CONCLUSIONS 24
BIBLIOGRAPHY 25ii
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Kazemi, Parimah. Compact Operators and the Schrödinger Equation, thesis, December 2006; Denton, Texas. (https://digital.library.unt.edu/ark:/67531/metadc5453/m1/3/: accessed July 17, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; .