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Physics
Quantum Physics
When should one eigenvector be split into two (same span)?
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[QUOTE="Simon Bridge, post: 5455014, member: 367532"] You appear to have misunderstood what is going on. The pdf author starts by finding the operator has 2 eigenvalues ... these are +b and -b. The next step is to find out the conditions that x,y,z must satisfy if they are to be the components of an eigenvector that points to value +b. The result is 3 simultanious equations that the author places, for convenience, into a vector form. This vector is not an eigenvector. The next step is to solve the equations to get the actual eigenvectors. There are two vectors that satisfy the conditions: these are the sought-after eigenvectors. The author has, at not time, split any eigenvectors up. [/QUOTE]
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Forums
Physics
Quantum Physics
When should one eigenvector be split into two (same span)?
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