Recent content by Erwin Kreyszig

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    Qestion regarding independent study

    Well you only need a laser and some kind of diffraction patterns to do this investigation. Diffraction patterns are usually a set of slides and you place in front of the laser at certain distance. Check out here to see if this is the kind of project you like the look of...
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    Can integration by parts (and other int related Q's)

    You can't use integration by parts to prove this, as you don't have 2 functions of x. you have one function of x with two terms. Basically in an integration problem you want to take any constants outside the integral (constant is any function that is not to be evaluated (y etc in this case)...
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    Qestion regarding independent study

    A diffraction project? Young's Double slit etc... If you have the equipment at the college, is i am sure you do, a diffraction project is interesting and will help you in modern optic. In investigate interaction of light (from laser is normally best) and note what changes depending on the...
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    Another problem - time dependent perturbation and transition probabilities

    Thanks for your help Avodyne, i think i was being a bit retarded. now i know what i am looking for using the recursion relation, i should be fine. I think i got an answer for the solution, and its less that 1 so i am happy that its sensible. Thank you again. EK
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    What is the length of the vibrating section of the violin string?

    With stringed instruments you have as many harmonics as there are notes, effectively that is the physics behind it. A violinist can place his finger very lightly on a string so that it divides the string into half. He will hear a harmonic (the note an octave higher than the open string). By...
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    Unravelling the Secrets of Neutron Stars

    Are you using the conservation of momentum? Find the initial momentum of the star before collapse, then use the conservation to give you a value of I_2 (after the collapse) then you have everything you need.
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    Projectile motion with air resistance and ball of mass

    For this question you have to think about the constant deceleration, the air resistance. Would that effect the both the up and down directions. Then consisder gravity as a deacceleration on the way up, but is it not a acceleration on the way down. Try using the equation of V_{final}=...
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    What is the length of the vibrating section of the violin string?

    The vibrating section of the string is that of the standing wave, i.e. the bit better the bridges of the violin. This length is dependent on the note played. To solve this problem you need to figure out which harmonic the string is vibrating at.
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    Rotational Motion: Understanding Torque, Work & Energy

    Depending on your level of for a basic understanding on most topics in physics look maybe at hyperphysics, otherwise most textbooks designed for physicists and engineers will cover these topics in more depth, i personally use Tipler & Mosca...
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    Another problem - time dependent perturbation and transition probabilities

    I am lost as to how to use the recursion relation to be honest. I am thinking you use this to find the wave function of the problem. Is there any good internet sites or books in which the recursion relation and hermite polynomials are described fully? I am struggling to find out how to use...
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    Another problem - time dependent perturbation and transition probabilities

    Yeah Loughborough, i am pretty sure you take the matrix element of perturbation, at t=0, then find the constant C_{n} with that. Then from that you can find the probability. Maybe... That or you go straight from V_{nk} to probability EK [
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    Another problem - time dependent perturbation and transition probabilities

    I understand the Kronecker and the dirac notation, but the recursion relation still has me. so far on this problem, i am thinking about the Probability being \frac{\left|H''\right|^2}{2 \hbar^2} g(w)t where g(w) being the density of states. And in this case, we only deal with the ground...
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    Another problem - time dependent perturbation and transition probabilities

    Not really, i have not encountered the recursion relation, and am fairly confused about that. Is the eqauation for the hamiltonian just the [ hamiltonian for the stationary state + a the pertibation ] ? I am truly at a loss atm. Thanks EK
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    What is the ratio of energies in a hydrogen atom and how can it be calculated?

    Sorry to be retarded, but to find the potential then you have to find the expectation value of the ground state radius, which is the Bohr radius yes? Then you sub that Bohr radius into the coulombs law and that is your Potential? Then equate then with that i can find my ratio of the two...
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    Relativistic Density of Cube Moving at 90% Speed of Light

    In addition to length contraction and time dilation, another consequence of Special relativity is that mass of a moving object appears to increase with speed. This increase is actually proportional to the time dilation factor at very high speeds. the mass at high speeds is given by m =...
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