Recent content by Drew Carey
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Graduate The co-moving frame - acceleration, momentum and velocity
Thanks a lot for taking the time to reply. I would like to delay on each one of your paragraphs if you don't mind: By this do you mean the 3-velocity and 3-momentum? How do you settle the following equation...- Drew Carey
- Post #4
- Forum: Special and General Relativity
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Graduate The co-moving frame - acceleration, momentum and velocity
Hi all, I'm having trouble with the concept of a co-moving frame, specifically in the context of constant proper-acceleration (hyperbolic motion). I feel like I don't "get it"; and perhaps this is related to some deeper misunderstandings I may have regarding the definitions of certain quantities...- Drew Carey
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- Acceleration Frame Momentum Velocity
- Replies: 4
- Forum: Special and General Relativity
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Graduate QFT - Commutator relations between P,X and the Field operator
Thanks! So basically it operates as it would on any function of space? What is the commutation relation between P and the field ladder operators?- Drew Carey
- Post #13
- Forum: Quantum Physics
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Graduate QFT - Commutator relations between P,X and the Field operator
I'm asking about the commutation relation between P and the field operator, not between P and X (which I realize now doesn't have an obvious 2nd Q parallel), but we can focus on the question in regards to P and the field operator.- Drew Carey
- Post #10
- Forum: Quantum Physics
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Graduate QFT - Commutator relations between P,X and the Field operator
Interesting, thanks, I haven't realized this; I'll look into this. However it does digress a bit from my question which I am willing to restrict to the momentum operator which definitely can be 2nd quantized...- Drew Carey
- Post #5
- Forum: Quantum Physics
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Graduate QFT - Commutator relations between P,X and the Field operator
Perhaps this isn't well defined? I can treat this by writing the 2nd quantized momentum or position operators in terms of the field ladder operators and then express my desired commutator as a pretty trivial commutator between ladder operators. Is this the only way to go about this? Doesn't...- Drew Carey
- Post #2
- Forum: Quantum Physics
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Graduate QFT - Commutator relations between P,X and the Field operator
Hi all, I haven't been able to find an answer online but this seems like a pretty basic question to me. What are the commutator relations between the position/momentum operators and the field operator? I'm not even certain what the commutation relations between X/P and a single ladder operator...- Drew Carey
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- Commutator Field Operator Qft Relations
- Replies: 13
- Forum: Quantum Physics
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Graduate Understanding Commutators in Quantum Mechanics: General and Specific Questions
Can you please elaborate on the second part. What do you mean by " for scalar operators, the answer is clearly no."? If A and B commute with H then: [AB,H]=A[B,H]+[A,H]B=0 If the answer to my first question was #1, then for vector operators \vec A and \vec B that commute with H we would have...- Drew Carey
- Post #4
- Forum: Quantum Physics
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Graduate Understanding Commutators in Quantum Mechanics: General and Specific Questions
Hi all, My motivation is understanding some derivations in Quantum Mechanics, but I think my questions are purely algebraic. I have a general question and then a specific one: General Question - when writing the commutator of commuting vector and a scalar operators (for instance angular...- Drew Carey
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- Commutators
- Replies: 6
- Forum: Quantum Physics
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Graduate Klein Paradox - Dirac equation with step potentional
Hi all! I was reading up on the Klein paradox in Itzykson & Zuber's Quantum Field Theory (but I think this is a pretty standard part that's probably present in most QFT textbooks) and on page 62 they have a pretty straight forward solution to the Dirac equation with a step potential. I've...- Drew Carey
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- Dirac Dirac equation Klein Paradox
- Replies: 1
- Forum: Quantum Physics