Homework Statement
I'm supposed to show that the Hermite Polynomials are in Schwartz space
h_n = \frac{1}{\sqrt{n!}}(A^{\dagger})^n h_0
where
A^{\dagger} = \frac{1}{\sqrt{2}}(-\frac{d}{dx} + x)
and
h_0 = \pi^{-1/4}e^{-x^2/2}
Homework Equations
Seminorm...
Homework Statement
I have been given the function
\varphi_{G}(z,t) = \frac{2}{\Delta k_0\sqrt{\pi}} \int_{-\infty}^{\infty}dk\ e^{-\frac{4(k-k_0)^2}{\Delta k_0^2}}e^{i(kz-\omega t)}
and been told to do the integration and then to specify the phase and group velocity of the wave package. I...
I believe you have to do a language test as part of the examinations, it's in high german. The language test is mandatory even if you have a secondary school diploma, the only way to be exempted from it (as I was) is to get a language certificate (for example a Goethe Certificate, TestDaf...
In Switzerland, more specifically at the ETH (where I'm currently studying) I believe you can be admitted by taking an entrance examination at any age, although if you're under 18 you will need your parents consent. The application deadline is something in April I think and the examinations will...
I know people who have studied or are studying theoretical physics at both universities and from that I get the feeling that the university in Uppsala is more known for their program in theoretical physics than the university in Lund. Lund I think is more famous for its research into...
Worked excellent, thank you. I also noticed that I could use the normal vector without turning it into a unit vector. I used it to create a system of equations
1+2s=1-2a
1+3s=2+t+2a
1+s=3+t-2a
which gives that a = 1/6
Then I multiplied that(1/6) with (-2,2,-2) and then used Pythagoras to...
Ok, LOL (Pardon the expression :smile:)
The scalar product of the normal (0, 5, 5) and the vector (-5, 1, 3) is 4/\sqrt{70} = cos a which gives a = 61,439 and 90-a = 28,56.
Thank you very much! :rolleyes:
I'm a bit uncertain about this question and would like some help, as I don't have the correct answer. Have I done this correctly?
Homework Statement
What is the shortest distance between the two lines A = (1,2,3) + t(0,1,1) and B = (1,1,1) + s(2,3,1)
The Attempt at a Solution
My...
I'm a little uncertain concerning a math-question and would like to know if I've done anything wrong here, I do not have the correct answer which is why I'm asking.
Homework Statement
An arrow is shot in a straight line through the points (3, 4, -1) and (-2, 5, 2) and hits a plane...
Homework Statement
I've recently encountered the cross-product while studying mathematics. I'm studying on my own so it has been quite difficult to get a proper answer, which is why I'm posting my question here.
What I've difficulties understanding is why the vector product of two vectors...
From what I've read here, I get the feeling that I'm not so hopelessly behind after all. ;)
I was tested on the subjects German, Chemistry, Applied Mathematics, Mathematics and Physics. I received my result and succeded in all the subjects except Mathematics(Score: 3,7), I needed a 4 to pass...
I applied to the Physics program on the Technical University in Zürich, and you were required to pass all the tests in order to be permitted to attend the university. I don't know what you mean by "being placed", in Switzerland everyone follows a fixed curriculum, ie everyone reads the same...
Hello!
A few months ago I applied to a university abroad (in Switzerland to be exact), I myself come from Sweden. As I have not finished upper secondary school I was required to pass a test, all tests went well except for mathematics where I failed completely.
The math tests had elements from...
Protons and electrons have the same charge, but with different signs. Protons are positive 1 e, and electrons are negative 1 e (-1 e). I gave you a hint for the charge of the proton, if 1 C equals 6,242E18 Protons (The value I posted above is wrong, sorry about that), what is the charge of one...