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Hermitian operators
Required math: calculus Required physics: some knowledge of quantum mechanics Reference: Arfken, George B. & Weber, Hans J. (2005), Mathematical Methods for Physicists, 6th Edition, Academic Press...
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Angular momentum – raising and lowering operators
Required math: calculus Required physics: 3-d Schrödinger equation References: Griffiths, David J. (2005), Introduction to Quantum Mechanics, 2nd Edition; Pearson Education Section 4.3.1 & Problem...
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Hermitian operators – equivalence of conditions
Required math: calculus, linear algebra Required physics: elements of quantum mechanics References: Griffiths, David J. (2005), Introduction to Quantum Mechanics, 2nd Edition; Pearson Education –...
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Hermitian operators – a few theorems
Required math: calculus, linear algebra Required physics: Schrödinger equation References: Griffiths, David J. (2005), Introduction to Quantum Mechanics, 2nd Edition; Pearson Education – Problem 3.4....
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Hermitian conjugate of an operator
Required math: calculus, linear algebra Required physics: Schrödinger equation References: Griffiths, David J. (2005), Introduction to Quantum Mechanics, 2nd Edition; Pearson Education – Problem 3.5....
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Hermitian operators: periodic function
Required math: calculus, linear algebra Required physics: Schrödinger equation References: Griffiths, David J. (2005), Introduction to Quantum Mechanics, 2nd Edition; Pearson Education – Section 3.2.2;...
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Hermitian operators: common eigenfunctions implies they commute
Required math: calculus Required physics: Schrödinger equation References: Griffiths, David J. (2005), Introduction to Quantum Mechanics, 2nd Edition; Pearson Education – Problem 3.15. The...
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Matrix elements: example
Required math: calculus, vectors Required physics: none References: Griffiths, David J. (2005), Introduction to Quantum Mechanics, 2nd Edition; Pearson Education – Section 3.6; Problem 3.22. As a...
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Anti-hermitian operators
Required math: calculus, vectors Required physics: none References: Griffiths, David J. (2005), Introduction to Quantum Mechanics, 2nd Edition; Pearson Education – Problem 3.26. A hermitian operator is...
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