Recent content by laguna
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High School What is the Inverse of a Differential Operator?
What is it equal to or how can i calculate it please? -
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High School What is the Inverse of a Differential Operator?
Hello everybody, If I define z_\mu = \frac{\partial{\phi}}{\partial{x^{\mu}}}, \, \mu = 0,1,...,n , (for some scalar function phi of x=(x_0,...,x_n)) how is then \frac{\partial{}}{\partial{z_{\mu}}} defined or rather what is it equal to? How would you call this expression? the inverse of a... -
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Graduate Tensor Calculation & Lorentz Transformation: Understanding Relations
Thank you all for taking your time helping me. I think i understand this part now. Thanks.- laguna
- Post #8
- Forum: Special and General Relativity
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Graduate Tensor Calculation & Lorentz Transformation: Understanding Relations
Ah, i see. We just define it this way. Thank you so much. But in equation (1.2.8), in the last equality, how do I formally see that we can swap \bar{e_\mu} with \Lambda^{\nu}{}_{\sigma} ? I mean is it not a matrix multiplication?- laguna
- Post #6
- Forum: Special and General Relativity
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Graduate Tensor Calculation & Lorentz Transformation: Understanding Relations
if the first relation is true (which I of course believe but do not understand) then ds^2 = dx^2 + dy^2 + dz^2 = \eta_{\alpha\beta}dx^\alpha dx^\beta = c^2dt^2 -dr^2, since dx^{\alpha} = (cdt,dx,dy,dz) is the 4-vector and we treat dx^{\alpha}dx^{\beta} like the scalar product to get (c^2...- laguna
- Post #3
- Forum: Special and General Relativity
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Graduate Tensor Calculation & Lorentz Transformation: Understanding Relations
Hi, I have trouble understanding why the following relations hold true. Given the Minkowski metric \eta_{\alpha\beta}=diag(1,-1,-1,-1) and the line segment ds^2 = dx^2+dy^2+dz^2, then how can i see that this line segment is equal to ds^2 = \eta_{\alpha\beta}dx^\alpha dx^\beta . Further, we...- laguna
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- Calculation Lorentz Lorentz transformation Tensor Transformation
- Replies: 7
- Forum: Special and General Relativity
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Velocity of a Helium-atom in a double slit experiment
thank you. i didnt even condsider relativity.- laguna
- Post #6
- Forum: Introductory Physics Homework Help
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Velocity of a Helium-atom in a double slit experiment
thank you for the warm welcome :-) I can use the de-Broglie relation lamba=h/p, p the momentum. then i get the speed, right? :-) I am sorry, I missread '2. relevant equations' with '2. relevant questions' when I was writing the post.- laguna
- Post #4
- Forum: Introductory Physics Homework Help
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Velocity of a Helium-atom in a double slit experiment
Homework Statement Hi, I want to apologize for any grammar errors in advance since english is not my first language. But i hope it is good enough such that the question is clear: I want to calculate the velocity of a Helium-atom after it scattered on a double slit. The following information are...- laguna
- Thread
- Double slit Double slit experiment Experiment Slit Velocity
- Replies: 5
- Forum: Introductory Physics Homework Help