Recent content by gotjrgkr

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    Regular Transformation Homework: Definition & Interpretation

    Homework Statement Hi! i want to ask somebody who are studying quantum mechanics about the definition of regular transformation. I guess there might be people who are not familiar with the notion. So, i'd like to let you know which book I'm referring to; "principles of quantum mechanics" ...
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    Calculating the atomic polarizability of an atom

    What I know is that the electric field outside of a uniformly charged sphere is the same as the electric field of a point charge which is equal to the whole charge of the sphere. However, as you can see in the picture, d is less than the radius of the sphere a. And, unfortunately, inside of the...
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    Calculating the atomic polarizability of an atom

    Homework Statement https://www.physicsforums.com/attachments/51461 https://www.physicsforums.com/attachments/51462 Hi! I got stuck in studying the book "introduction to electrodynamics" written by griffith I attached the related pictures above. The page is p.161-p.162. It's concerned...
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    Equation related with operators

    For me, the second equality is still mystery... ;; Could you give me more hint??
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    Equation related with operators

    Hi! I was studying Shankar's Principles of Quantum Mechanics, but I was stuck to understand a relation concerned with operators. Homework Statement I've learned that in order to get the equation of motion, I should apply the Schrodinger's equation to the given Hamiltonian operator. In...
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    Safety of Reacting: What's the Best Way?

    I really appreciate your help!
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    Safety of Reacting: What's the Best Way?

    Thank you for your recommendation. But, I have one thing to check. Do you mean that using vinegar to wash hands is wrong way?? Or, do you think is it okay to wash hands by vinegar when injured by sulfuric acids??
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    Safety of Reacting: What's the Best Way?

    Hi! I write this letter to confirm the safety of a reation. I've heard that one of my friends made his hands injured because he touched it without knowing that it is the sulfuric acid. And, he told me that he washed his hands with the vinegar. Do you think it is right to use vinegar to...
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    Question about calculating electric field made by finite point charges

    Thanks for your responding! I actually asked you above one because of some equations. I attach it here. As you can check in the first equation, it represents the electric field at a point r occurred by continuously distributed electric charges. Here's my question in the second...
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    Question about calculating electric field made by finite point charges

    Homework Statement Hi! I have a question about calculating electric field made by finite point charges q_{1},q_{2},..., q_{n}. From the book "introduction to electrodynamics", you can see that the electric field E at a point P made by the finite point charges can be calculated by the below...
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    Independence of parametrizations of a line integral

    Homework Statement Hello! I've been trying to prove a problem. I attach the problem. I refer to the book " Advanced calculus" written by watson fulks. You can find the below information in p. 405~p.417 I want to prove C Exercise problem number 2. Homework Equations The...
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    A problem related with a meromorphic function

    I refer to a book " an introduction to complex function theory" by palka. In p. 318 of the book, a meromorphic function is defined as follows; Let U be an open set in the complex plane. We characterize a function f as meromorphic in U provided f has at no point of U worse than a pole. " no...
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    A problem related with a meromorphic function

    Oh, I'm sorry. I've just seen it. I find "the identity theorem" by searching it through google. It is said that "In complex analysis, a branch of mathematics, the identity theorem for holomorphic functions states: given functions f and g holomorphic on a connected open set D, if f = g on...
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    A problem related with a meromorphic function

    Homework Statement Hello! I have a question about a meromorphic function introduced in a field of complex analysis. I refer to palk's book "an introduction to complex function theory". As you can check in that book, the author introduces a definition of a meromorphic function in p. 318. I...
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