Recent content by koil_
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Possible Results and Probabilities of a Measurement of Operator Q
I would like to say because, when a measurement is made, the wavefunction will collapse into one of the superposition eigenfunctions ##\phi_n## where the operator ##\hat{Q}## on ##\phi_n## will 'output' the eigenvalue ##Q_n##?- koil_
- Post #7
- Forum: Advanced Physics Homework Help
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Possible Results and Probabilities of a Measurement of Operator Q
I see thank you - I think what threw me off was just the wording of the question (as this was the only question in a series of superposition question that involved the eigenvalues) and I expected to utilise more information than I needed. On from that could you possibly recommend any resources...- koil_
- Post #6
- Forum: Advanced Physics Homework Help
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Possible Results and Probabilities of a Measurement of Operator Q
Thanks for pointing that mistake out and for the clarification :)- koil_
- Post #4
- Forum: Advanced Physics Homework Help
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Possible Results and Probabilities of a Measurement of Operator Q
I first Normalise the wavefunction: $$ \Psi_N = A*\Psi, \textrm{ where } A = (\frac{1}{\sum {|a_n^{'}|^{2}}})^{1/2} $$ $$ \Psi_N = \frac{2}{7}\phi_1^Q+\frac{3}{7}\phi_2^Q+\frac{6}{7}\phi_3^Q $$ The Eigenstate Equation is: $$\hat{Q}\phi_n=q_n\phi_n$$ The eigenvalues are the set of possible...- koil_
- Thread
- Eigen values Measurement Operator Operators Probabilities Superposition of states Wave function
- Replies: 7
- Forum: Advanced Physics Homework Help
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Find the Conserved Quantity of a Lagrangian Using Noether's Theorem
So Noether's Theorem states that for any invarience that there is an associated conserved quantity being: $$ \frac {\partial L}{\partial \dot{Q}} \frac {\partial Q}{\partial s}$$ Let $$ X \to sx $$ $$\frac {\partial Q}{\partial s} = \frac {\partial X}{\partial s} = \frac {\partial...- koil_
- Thread
- Conservation Invariance Lagrangian Noether's theorem Theorem
- Replies: 5
- Forum: Calculus and Beyond Homework Help