I've been contemplating an experiment on a 1-dimensional system which would require a single light source to be split into two separate sources which are exactly out of phase with each other. The idea is to focus the beams near each other (but not overlapping) along the 1D object. Any phonons...
Thanks weezilla - that helps a lot. I'm not actually using an autosampler - I have a custom application that will require multiple punctures (maybe several dozen) without changing vials (it's a long story). These vials are the perfect size, so I was just wondering about the caps.
Thanks again.
I have a question about https://www.amazon.com/dp/B002RS5IKA/?tag=pfamazon01-20 product. It is an autosampler shell vial with a polyethylene plug style needle closure. Does anyone know whether the plug on this vial will be resealable? In other words, will it be able to withstand multiple...
We have a 532 nm laser that we use with our Raman tool. The only power indicator on the control is in the form of a percentage. I know that at 100%, the laser has a power of 25 mW. Does this scale linearly with power percentage? In other words, does 50% power translate to 12.5 mW?
I saw this notation in a textbook but I'm a bit confused by it. What exactly does the 3 mean? Is it shorthand for a triple integral in spherical coordinates?
\int{d^3 r}
Thanks in advance.
A colleague of mine just started a website called wikiquation.com. It's a searchable wiki-style database for equations. The database is currently quite empty, so it's not very useful as a search engine yet, but it allows anyone to add or edit an equation without creating a user account. I think...
Yes, that link is perfect! I never tried googling the exact quote because I assumed my version of the quote was off, but I underestimated my own memory. It was definitely Compton. Here is a quote from the source cited above:
One of my professors told me a story about a physicist and I can't remember who it was. It's driving me crazy. This is what I remember about the story.
Apparently this physicist was a new faculty member and he had a seemingly brilliant plan for some experiment. All of the older faculty members...
I'm looking for a book that gives advice on how to research as a professional scientist. I am looking for insight into the culture of industrial research, applying for grants and obtaining funding, methods and techniques to use time your time effectively, etc. I'd prefer something from a physics...
Research-related question:
What is the typical on/off ratio of a silicon transistor? This seems like basic information, but I can't find it anywhere.
Also, how high does the on/off ration need to be in order for transistors (say, in a logic circuit) to function correctly?
Thanks!
I'm graduating with a B.S. in physics and I will soon be starting a Ph.D. program in nanoscale science, which is essentially an applied physics program. I chose this program because my undergraduate research was focused in this area and I've really enjoyed it.
However, I'm wondering if my...
Homework Statement
True/False
If Ttheta is a rotation of the Euclidean plane R2 counterclockwise through an angle theta, then T can be represented by an orthogonal matrix P whose eigenvalues are lambda1 = 1 and lambda2 = -1.
Homework Equations
The Attempt at a Solution
Just checking to...
Thanks for your help.
So let me get this straight. Whenever I divide by a term to cancel it, I count that term as one of my solutions, right? Does this always work? I didn't quite understand what you meant by testing two separate cases.
Homework Statement
Find the eigenvalues of the following matrix:
\left(
\begin{array}{ccc}
1 & 0 & -3 \\
1 & 2 & 1 \\
-3 & 0 & 1
\end{array}
\right)
Homework Equations
The Attempt at a Solution
I think I'm forgetting a basic algebra rule or something. I know there are supposed to be...
Homework Statement
Write the standard matrix representation TE for T.
Homework Equations
T\left(ax^3+bx^2+cx+d\right)=(a-b)x^2+(c-d)x+(a+b-c)
The Attempt at a Solution
[T]_E=\left(
\begin{array}{c}
a+b-c \\
c-d \\
a-b \\
0
\end{array}
\right)
I think this is right, but a...
Homework Statement
Let E={1, x, x2,x3} be the standard ordered basis for the space P3. Show that G={1+x,1-x,1-x2,1-x3} is also a basis for P3, and write the change of basis matrix S from G to E.
Homework Equations
The Attempt at a Solution
Here's what I got:
S_E^G=\left(...
Thanks!
There are two 1's in the third column of the first matrix because there is an x3 in the first and last element of T1 (is that the right terminology?)
Homework Statement
This is a slight variation of the last problem I posted.
Write the standard matrix representation for T1T2 and use it to find [T1T2(1,-3,0)]E.
Homework Equations
T_1\left(x_1,x_2,x_3\right)=\left(x_3,-x_1,x_3\right)...
Homework Statement
Write the standard matrix representation for T1 and use it to find [T1(1,-3,0)]E.
Homework Equations
T_1\left(x_1,x_2,x_3\right)=\left(x_3,-x_1,x_3\right)
The Attempt at a Solution
I just wanted to check to see if I am doing this right. Thanks in advance!
A=\left(...