Solutions to Homework 1, Quantum Mechanics
... Answ: Yes. b) How about periodic functions obeying f (L) = f (0)? Answ: Yes. Periodic functions form a vector space. (It may be impossible, though, to introduce a workable inner product). c) How about all functions with f (0) = 4? Answ: No. This vector space wouldnt behave properly under addition: ( ...
... Answ: Yes. b) How about periodic functions obeying f (L) = f (0)? Answ: Yes. Periodic functions form a vector space. (It may be impossible, though, to introduce a workable inner product). c) How about all functions with f (0) = 4? Answ: No. This vector space wouldnt behave properly under addition: ( ...
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... Definition Suppose X is a nonempty set. Then a function f : X → C is a bounded function if there exist a C < ∞ such that |f (x)| < C for all x ∈ X. The set of all bounded functions on X is usually denoted by B(X) ([?], pp. 61). Under standard point-wise addition and point-wise multiplication by a sc ...
... Definition Suppose X is a nonempty set. Then a function f : X → C is a bounded function if there exist a C < ∞ such that |f (x)| < C for all x ∈ X. The set of all bounded functions on X is usually denoted by B(X) ([?], pp. 61). Under standard point-wise addition and point-wise multiplication by a sc ...
1 SPECIALIS MATHEMATICS - VECTORS ON TI 89
... SPECIALIS MATHEMATICS - VECTORS ON TI 89 TITANIUM. ...
... SPECIALIS MATHEMATICS - VECTORS ON TI 89 TITANIUM. ...
Problem Set 2 - Massachusetts Institute of Technology
... (due in class, 23-Sep-10) 1. Density matrices. A density matrix (also sometimes known as a density operator) is a representation of statistical mixtures of quantum states. This exercise introduces some examples of density matrices, and explores some of their properties. (a) Let |ψi = a|0i + b|1i be ...
... (due in class, 23-Sep-10) 1. Density matrices. A density matrix (also sometimes known as a density operator) is a representation of statistical mixtures of quantum states. This exercise introduces some examples of density matrices, and explores some of their properties. (a) Let |ψi = a|0i + b|1i be ...