Homework6 - Physics 401 - Homework #6 1) A bracket written...

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Physics 401 - Homework #6 1) A bracket written "backwards" (three points each) . We use three types of mathematical objects in quantum mechanics: complex numbers, bra and ket vectors, and operators. a) If a and b are ket vectors, what type of object is b a ? b) Explain in a sentence or two the mathematical effect of b a on an arbitrary ket vector . c) What type of object is b a ? d) Explain in a sentence or two the mathematical effect of b a on an arbitrary ket vector . e) Explain in a sentence or two the mathematical effect of b a on an arbitrary bra vector . 2) A continuous observable (three points each). Suppose we have an observable , with associated operator , and which has a continuous set of eigenstates ˆ . Here we have used the symbol ( ) to label the continuous eigenstates. Just to be confusing, let's also use the symble ( ) to stand for the continuum of eigenvalues for these states. a) Write down the eigenvalue equation for this observable in Dirac notation.
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This note was uploaded on 12/29/2011 for the course PHYSICS 401 taught by Professor Hall during the Fall '11 term at Maryland.

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Homework6 - Physics 401 - Homework #6 1) A bracket written...

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