homework1 - Physics 610 Spring 2014 HW#1 due Feb 5 2014...

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Physics 610 Spring 2014 January 29, 2014 HW #1 due Feb 5, 2014 Shankar problems 1.1.3, 1.1.4, 1.1.5, + the following Johnson 1.1: Consider the following vectors: Ο Ο Ο Π Ξ Μ Μ Μ Ν Λ = 3 2 1 1 V , Ο Ο Ο Π Ξ Μ Μ Μ Ν Λ = 3 2 1 2 i V , and Ο Ο Ο Π Ξ Μ Μ Μ Ν Λ + = i i V 3 2 1 1 (a) What is the length of each of these vectors? Is it a real number? If not, why not? (b) Compute <V 1 | V 2 >, etc. Johnson1.2 : Consider the vectors Ο Ο Ο Π Ξ Μ Μ Μ Ν Λ = 1 1 1 3 1 1 V , Ο Ο Ο Π Ξ Μ Μ Μ Ν Λ = 2 1 1 6 1 2 V , Ο Ο Ο Π Ξ Μ Μ Μ Ν Λ = 0 1 1 2 1 3 V (a) Show that these form an orthonormal set.
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