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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, multivariable 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 quantummechanical 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 quantummechanical description of the operator algebra for fermionics. Products of this form appear often in the manyelectron problem in chemistry where the vast majority of the periodic table involves more than one electron (fermion).electron (fermion)....
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 Fall '11
 DavidJ.Masiello
 Chemistry, Matrix Products

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