Final preview
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* First principle: superposition | * First principle: superposition | ||
− | ** with each physical system there is an associated Hilbert space <math>{\ | + | ** with each physical system there is an associated Hilbert space <math>{\rm E} _ {\rm H}</math> |
** at each time t, the state of the system is completely determined by a normalized vector <math>|\psi(t) \rangle</math> | ** at each time t, the state of the system is completely determined by a normalized vector <math>|\psi(t) \rangle</math> | ||
* Second principle: measurement | * Second principle: measurement | ||
** with each physical quantity <math>A \ </math> one can associate a linear hermitian operator <math>\hat{A} \ </math> | ** with each physical quantity <math>A \ </math> one can associate a linear hermitian operator <math>\hat{A} \ </math> |
Revision as of 14:51, 3 May 2006
major concepts
the three principles of quantum mechanics. page 101.
- First principle: superposition
- with each physical system there is an associated Hilbert space EH
- at each time t, the state of the system is completely determined by a normalized vector
- Second principle: measurement
- with each physical quantity one can associate a linear hermitian operator