hw1 - Chemistry 550 / 475 Homework Assignment #1 (warm up)...

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Unformatted text preview: Chemistry 550 / 475 Homework Assignment #1 (warm up) due: Friday, October 7th at 5:00 pm Readings : Chapters 1 - 3 in Levine Computations in quantum mechanics will require knowledge of statistics, linear algebra, multi-variable calculus, and differential equations, at the least. This assignment is intended to test your background in some of these areas. Problem 1 - Matrix Products. Given the matrices A = 1 1 1 2 2 0 2- 1 and B = 1- 1 1- 1 0 0 1 0 1 compute the following: a. [ A , B ] AB- BA [ , ] is called the commutator and appears in the quantum-mechanical description of the operator algebra for bosons. What does this teach you about matrix products that is different from products of scalars? b. { A , B } AB + BA { , } is called the anticommutator and appears in the quantum-mechanical description of the operator algebra for fermionics. Products of this form appear often in the many-electron problem in chemistry where the vast majority of the periodic table involves more than one electron (fermion).electron (fermion)....
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hw1 - Chemistry 550 / 475 Homework Assignment #1 (warm up)...

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