- #1
snoopies622
- 840
- 28
I'm still enjoying Daniel T. Gillespie's "A Quantum Mechanics Primer". It includes six postulates of quantum mechanics which are very similar to sets I've found in other texts, as well as by internet-searching "quantum mechanics postulates":
1. Identifying the state of a system with a vector in Hilbert space
2. identifying observables with Hermitian operators
3. the formula for predicting the results of a measurement
4. the effect of a measurement of the state vector itself
5. the time evolution of the state vector (the Schrodinger equation)
6. specifically defining the position and momentum operators, and the way they can be used in combination to form new operators.
I was wondering, is there any difference between these postulates and the Heisenberg formulation of QM (or what might still be called "matrix mechanics") other than substituting his formula of the time evolution of an operator for the Schrodinger formula of the time evolution of a state?
1. Identifying the state of a system with a vector in Hilbert space
2. identifying observables with Hermitian operators
3. the formula for predicting the results of a measurement
4. the effect of a measurement of the state vector itself
5. the time evolution of the state vector (the Schrodinger equation)
6. specifically defining the position and momentum operators, and the way they can be used in combination to form new operators.
I was wondering, is there any difference between these postulates and the Heisenberg formulation of QM (or what might still be called "matrix mechanics") other than substituting his formula of the time evolution of an operator for the Schrodinger formula of the time evolution of a state?