Recent content by KDPhysics
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K
I Exact dynamics of spin in varying magnetic field
It seems like I overlooked the simple fact that the state cannot change during a sudden, ##\textit{finite}## perturbation, so I was right in assuming that the spin would be ##|+\rangle## at ##t=0^+##. To understand why the system's state must be continuous over the sudden perturbation in the...- KDPhysics
- Post #2
- Forum: Quantum Physics
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K
I Exact dynamics of spin in varying magnetic field
Consider an uncharged particle with spin one-half moving with speed ##v## in a region with magnetic field ##\textbf{B}=B\textbf{e}_z##. In a certain length ##L## of the particle's path, there is an additional, weak magnetic field ##\textbf{B}_\perp=B_\perp \textbf{e}_x##. Assuming the electron...- KDPhysics
- Thread
- Dynamics Field Magnetic Magnetic field Spin
- Replies: 1
- Forum: Quantum Physics
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K
A Unruh & Minkowski Modes: Analytic Extension Explained
One last question, the Unruh modes as defined in Sean Carroll's "Spacetime and Geometry" are: $$h_k^{(1)} = \frac{1}{\sqrt{2\sinh(\pi \omega/a)}}\big(e^{\pi \omega/2a} g_k^{(1)} + e^{-\pi \omega/2a} g_{-k}^{(2)}{}^*\big)$$ On the other hand this paper gives a different definition: $$h_k^{(1)} =...- KDPhysics
- Post #6
- Forum: Special and General Relativity
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K
A Unruh & Minkowski Modes: Analytic Extension Explained
I see, thanks!- KDPhysics
- Post #5
- Forum: Special and General Relativity
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K
A Unruh & Minkowski Modes: Analytic Extension Explained
But couldn't the left moving negative frequency modes be analytic in that half of the complex plane?- KDPhysics
- Post #3
- Forum: Special and General Relativity
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K
A Unruh & Minkowski Modes: Analytic Extension Explained
In Carroll "Spacetime and Geometry" I found the following explanation for why the analytically extended rindler modes share the same vacuum state as the Minkowski vacuum state: I can't quite understand why the fact that the extended modes [\tex]h_k^{(1),(2)}[\tex] are analytic and bounded on...- KDPhysics
- Thread
- Minkowski Modes Vacuum
- Replies: 6
- Forum: Special and General Relativity
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K
I Gauge in the Aharonov Bohm effect
Thanks for the answers, very enlightening!- KDPhysics
- Post #4
- Forum: Quantum Physics
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K
I Gauge in the Aharonov Bohm effect
In p.385 of Griffiths QM the vector potential ##\textbf{A} = \frac{\Phi}{2\pi r}\hat{\phi}## is chosen for the region outside a long solenoid. However, couldn't we also have chosen a vector potential that is a multiple of this, namely ##\textbf{A} = \alpha \frac{\Phi}{2\pi r} \hat{\phi}## where...- KDPhysics
- Thread
- Aharonov-bohm Electromagnetism Energy levels Gauge Quantum
- Replies: 4
- Forum: Quantum Physics
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K
I Is this system a superposition?
Thanks, very clear explanation!- KDPhysics
- Post #17
- Forum: Quantum Physics
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K
I Is this system a superposition?
So the so-called act of measurement in the OP is the painting process, not the blind man somehow "measuring" the colour of the apple? This seems to make a lot more sense now.- KDPhysics
- Post #15
- Forum: Quantum Physics
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K
I Is this system a superposition?
Thank you. Suppose then that instead of colouring apples i consider randomly assigning a spin to an electron (here surely quantum effects are coherent). If I don't observe the spin of the electron, then does this mean that the electron is in a definite spin state, but I just haven't performed a...- KDPhysics
- Post #13
- Forum: Quantum Physics
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K
I Is this system a superposition?
Thank you. So this case would fall under "incomplete information situations" rather than superpositions as you have described?- KDPhysics
- Post #11
- Forum: Quantum Physics
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K
I Is this system a superposition?
I guess my question is what makes something capable of being in a superposition, and other things not?- KDPhysics
- Post #8
- Forum: Quantum Physics
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K
I Is this system a superposition?
just because an apple isn't an elementary particle doesn't mean that it can't be in a superposition right?- KDPhysics
- Post #7
- Forum: Quantum Physics
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K
I Is this system a superposition?
But couldn't you apply that logic to an electron's spin as well? It's either spin up or spin down.- KDPhysics
- Post #5
- Forum: Quantum Physics