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0
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1
answer
493
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One problem on Classical Mechanics [closed]
I'm wondering why in this problem I can't apply newton second law? The mass $m$ of the moving part will be the mass solved in the problem.
0
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1
answer
1k
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Chemical potential in terms of temperature and pressure
For part (a), I know how to take the partial derivatives of S to get chemical potential, pressure. But there seems that I still need one equation to correctly express chemical potential in terms of T …
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1
answer
155
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Adiabatic Relation in Plasma Invariant and Thermodynamics
In the problem above, I know how to do the 1D part. Basically, you just plug $V_{\parallel} =
\frac{J}{L}$ into $\langle \frac{1}{2} m v^2\rangle = \frac{1}{2} k T$. After you get $T$ in terms of $ …
0
votes
2
answers
1k
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Two-state Hamiltonian matrix in basis
I have a homework problem as following:
Write the two-state Hamiltonian matrix in a certain basis |1>, |2> in a general form as
\begin{array}{ccc}
H_{11} & H_{12} \\
H_{21} & H_{22} \end{array}
…
1
vote
1
answer
621
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Derivation of $a_{j}$ coefficients in the quantum harmonic oscillator
In Griffiths' book page 53, when we derive the solution of the quantum harmonic oscillator by using the power series way, we have: $$a_{j+2} = \frac{2j+1-K}{(j+1)(j+2)}\, a_{j} .$$ And for large $j$, …
1
vote
1
answer
830
views
Complex Conjugate of Wave Function's Derivative [closed]
I am reading Griffiths QM textbook and I got confused by the following identity:
How to prove from $$\frac{\partial \Psi}{\partial t} = \frac{i\hbar}{2m} \frac{\partial^2 \Psi}{\partial x^2} - \frac …
1
vote
1
answer
2k
views
Electric field generated by a point charge moving at the speed of light
As you see, this is the electric field generated by a point charge moving at constant speed v. I know that when $v$ -> 0, $E$ is just the Coloumb Law. But how do you interpret $E$ when $v$ -> $c$ ? …