dirac notation
Post on 03-Jan-2016
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DIRAC NOTATION. Notations Bra and Ket Inner products and Projection operators Examples Eigenvalues and Eigenvectors Postulates of QM. Dirac Notations. Dirac Notations. Dirac Notations. More general superposition. The index of bases is a continuous variable x: - PowerPoint PPT Presentation
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DIRAC NOTATION
Notations• Bra and Ket•Inner products and Projection operators
ExamplesEigenvalues and EigenvectorsPostulates of QM
Dirac Notations
Dirac Notations
Dirac Notations
More general superposition
• The index of bases is a continuous variable x:
• A State in terms of wavefunction
= ( )dx x x
Inner product
Orthogonal and normalized bases
• Used implicitly
For continuous variables
iji j
( )x x x x
Projection operators
Complete space
ˆdx x x IThe complete space may contain two parts, one with discrete index and one with continuous variable!
Projection operators
Eigenvalue and eigenvectors
Postulations of QM
Postulations of QM
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