Correction Definition and 178 Threads

Homework Statement Combine the Darwin correction with the relativistic kinetic energy correction for l=0 to show that the fine structure formula: \DeltaE_{fs}= - \frac{(E^{(0)2}_{n})}{2mc^{2}}[\frac{4n}{j + 1/2}-3] remains valid for l=0 Homework Equations From a previous problem...

Homework Statement Consider any ket. Find the perturbative correction to that ket. Then, |n> = |n0> + |n1> Here, |n0> is the ket from the unperturbed hamiltonian (who cares what it is), and |n1> is the 1st order correction. Do you introduce a new normalization when you add the...

Is it true that Ampere's Law with Maxwell's correction is equivelant to Biot-Savart Law? Under what assumptions?

Homework Statement The random variable X has the binomial distribution B(20,0.4), and the independent random variable Y has the binomial distribution B(30,0.6). State the approximate distribution of Y-X, and hence find an approximate value for P(Y-X>13) Homework Equations The...

In an assignment I was asked to improve the power factor of a certain circuit to 1. The supply is 240V peek-to-peek @ 60Hz. Rs = 58 ohm, Rl = 2 ohm and L = 8 mH. Below are my calculations but I can't seem to get the right answer. Indicating where I am going wrong would be a huge help :)...

Homework Statement Homework Equations If I want to figure out how much money we are losing because of poor power factor and the information I have is Power Factor 60% and total KWH I can take 60% of my total and then subtract that from my total then multiple the subtracted number by my...

Hi, I refer to the second edition (international edition) of Griffiths. He proves that the total fine structure correction (spin orbital plus relativistic) is given by E_{fs}^{1}\propto (3-\frac{4n}{j+1/2}) After that, he writes this. "Fine structure breaks the degeneracy in l (that is, for a...

In the weak field approximation, g_{\mu\nu}=\eta_{\mu\nu}+h_{\mu\nu} If we make a coordinate transformation of the form [itex]x^{\mu'}=x^{\mu}+\xi^{\mu}(x)[\itex] it changes [itex]h_{\mu\nu}[\itex] to [itex]h'_{\mu\nu}=h_{\mu\nu}+\xi_{\mu,\nu}+\xi_{\nu,\mu}+O(\xi^{2})[\itex] I...

Relativistic correction to quantum mechanical system: quantum well with a particle moving in high velocity relative to lab frame (the well moves together with the particle in it). Without relativistic correction there will be a probability for the particle to be outside the well since it's...

Hi, I am looking for a more precise calculation for determining an accurate end correction for an open-ended pipe of a relatively high fundamental frequency and am hoping someone might be able to steer me in the right direction. Researching online I have found the general calculation of...

Homework Statement Took a test today, one question I am not sure I got right. \int_{0}^{\infty} te^{-at}dt, when a>0 Homework Equations The Attempt at a Solution I set let infinity be b, then took the limit as b went to infinity of the integral with new bounds from 0 to b. My solution...

Homework Statement Homework Equations What is a leading correction? The Attempt at a Solution I easily proved the limits, however I do not know what a "leading correction" is. I googled it and I can't seem to find a precise definition.

Please teach me this: It seem to me that when we consider high momentum,then the strong interaction become asymtotic week force,so we can use perturbative QCD.But at the same time,when considering large momentum,the ''electric charge'' became large,then the ''electric force'' between quarks...

I was wondering why it is that the Pr(x=#)=0

Hi, If we have a non degenerate solution to a Hamiltonian and we perturb it with a perturbation V, we get the new solution by |\psi_{n}^{(1)}> = \sum \frac{<\psi_{m}^{(0)}|V|\psi_{n}^{(0)}>}{E_n^{(0)} - E_m^{(0)}}\psi_m^{(0)} where we sum over all m such that m\neq n. When we do the same...

i.e. thank you very much in advance

Hello all, I'm currently doing something that isn't technically coursework but I felt that this was the best place for my question, as an investigation into the properties of particles moving through matter, i have been trying to evaluate dE/dx in the Bethe-Bloch Equation...

Hello, I was hoping that someone might be able to provide a definition for the "resonance self shielding correction". -TP

I'm designing an interface between an ARM-CPU and a FPGA and have a pretty noisy channel between them. So I was wondering if anyone have any tip of error correction code on the FPGA side except the Hamming method I am using right now. What I want is a method which can correct if the...

Homework Statement An industrial electrical load operates from a 50 Hz 10 kV (rms) line with a power factor of 60% lagging. Determine a range of values of a capacitance that may be placed in parallel with the load to achieve a 90 to 95% lagging power factor. Homework Equations Power factor =...

Homework Statement Compute the Work of the following line integrals in the vector field \vec{V}=(2x^{2}-3y;4xy;3x^{2}z) Homework Equations For the following lines: Curve1: \vec{r}(a)=(a,a,a^{2}); \ 0\le a \le 1 Curve2: \vec{r}(a)=(a,a^{2},a); \ 0\le a \le 1 The Attempt at a Solution...

Okay I realize that stars emit at least some radiation outside the visual range but I have seen stars with positive BC when I thought that most values are negative due to the radiant flux over all wavelengths being greater than its flux over a certain wavelength. Is the sign of the BC the same...

If you have an object traveling at a velocity v at a point where, if the object had zero velocity, its gravitational acceleration would be a, what is the formula for calculating the relativistic correction for its acceleration at this point? Does it depend on the angle between the velocity...

Homework Statement Hey. I've just conducted Rutherford's gold foil scattering experiment and am a little stuck on a part of the analysis. One of the objectives of the lab script is; 'To correct the counting rates measured in one plane for the fact that the foil scatters in a 3D cone'...

Say I have a circuit like this: (R+L+R||L) -----20ohm---150mH------------ |......|...| Vs.......80mH 120ohm |......|...| --------------------------------- Vs = 120V @ 60Hz So I decide I want to add a capacitor across the source of 28.35uF to correct the power factor to 1. Then...

If one wants, to calculate the self energy correction to the electron propagator(using the approach where one introduces a photon mass \mu to deal with IR divergences), one gets after some work an integral like this (this is from the Itzykson Zuber book equ. 7-34): \int_ 0 ^ 1 d\beta \beta...

Homework Statement 1. If we mix 25 grams of sodium bromide with a large amount of potassium chloride, what will our theoretical yield of sodium chloride be? 2. If our actual yield from this reaction was 18 grams of sodium chloride, what would our percent yield for this reaction be...

1. Calculate the first-order correction to E^{3}_{(0)} for a particle in a one-dimensional box with walls at x = 0 and x = a due to the following perturbations: (a) H' = 10^{-3}E_{1}x/a (b) H' = 10^{-3}E_{1}sin(x/a) The Attempt at a Solution The only attempt that I have made is to...

Short intro.: I'm a 2nd year M.Sc. student in particle physics, with basic quantum field theory and knowledge of the SM and perhaps a bit more. I've read the forums before and tried to find questions/answers that were similar to my own until I decided, "why not just join so I can ask exactly...

Hi all, I've been doing a lot of thinking and I was wondering precisely how the 2nd order correction to the wave function from perturbation theory is derived: I mean, I can see where bits and pieces come from and I've tried to work through it as an exercise. Does anyone have a...

Homework Statement A falling flowerpot takes 0.2s to fall past a window that is 1.9m tall. From what height above the top of the window was the flower pot dropped? g = -9.8 m/s^2, v1 = 0 m/s Homework Equations d = v1t + 1/2at^2 a = (v2 - v1) / t d = (v2 + v1) / 2 * t The Attempt...

Homework Statement A have a bit of a general question regarding 1st order wave function corrections using perturbation theory. In a problem like the infinite potential well where you have states numbered like n = 1, 2, 3, ..., how do you compute the sum for the 1st order correction when you...

Homework Statement Time-independent, non-degenerate perturbation theory: - Let |k> represent k-th order wave function correction. - Let E^{(k)} represent k-th order energy correction - H' is the perturbed Hamiltonian. Want the third order energy correction: E^{(3)} = <1|H' - E^{(1)}|1> -...

The paper is impressive. I'll get the link. Here http://arxiv.org/abs/1003.1998 On our 2nd quarter 2010 MIP ("most important paper") poll, I noticed that Atyy picked both of the Randono papers. It made me think about this one, that came out in March---the first quarter of 2010, so not on the...

Hello I am re-reading some of my old textbooks and have come across a simplified (non-relativistic) term used to correct the beta decay spectrum for the coulomb effect of the nucleus on the ejected beta particle. The expression is; F(Z,E) = (2*Pi*n) / (1 - exp(-2*Pi*n)) where n =...

so imagine you have an airplane traveling at an axis projecting a signal vertically down along AF axis and you have some point O on AF axis and a refference angle Sun-O-Plane . the plane gets affected by some rolling motion at a certain known angle... now the axis shifts to A'F' and O become O'...

Hey! My teacher told me that there is a correction term to Newtons law of gravitation when you take general relativity into account, somthing lik: F=G\frac{M_1M_2}{r^2}+F_{correction} I been searching like mad but can't find it on the internet anywhere. The only things I found was a set of...

I've been working on a mathematical problem for a few days now. I'm not sure where my math is falling apart. I have an impedance connected in series with a source. In phasor notation, the impedance is 1.2649 at 71.565 degrees. In rectangular, this impedance is .4 + j1.2 . The power factor for...

I am working on a vehicle based computer game. The focus right now is to get the internal physics of each drive line component as physically correct as possible. Since a few weeks, I am stuck with a problem that I cannot get past by myself. I have narrowed it down to a specific issue. It should...

First order correction to particle-in-box eigenstates for Dirac perturbation Homework Statement Calculate the first three nonzero terms in the expansion of the correction to the ground state \psi^{1}_{1} for a Dirac delta perturbation of strength alpha at a/2 (box from 0 to a). Homework...

Consider a pipe closed at one end and open at the other.a simple model tells that resonance will occurs when the sound wavelength of the resonator is 1/4,3/4,5/4.. of pipe length,by assumption that antinode occurs at the open end.But it comes out that the air at open end isn't completely...

[b]1. Homework Statement A 4-20mA current loop is being used to transfer temperature values in the range + 10ºC to +60ºC. (i) What temperature is represented by a current of 7mA? (A) What current would you expect when the temperature of the sensor is 32ºC? Homework Equations i HAD AN...

Understanding the short-distance behaviour of gravity is crucial for constructing a quantum theory of gravity. The Newtonian inverse square law approximation has been tested in laboratory down to millimeter scales, but I'm not aware of any laboratory scale experiments testing general...

Homework Statement A pilot wishes to fly 2875 km to an airport 18 degrees east of north from his departure point(for the sake of the problem and simplicity, use the origin). He wants to make the trip in 3 hours and 20 minutes. The pilot finds that he actually has to make a change in his air...

Hey all, this is long so read if you like anything to do with motorsports and let me know what you think. My friends and I (currently in junior year as ME student) are going to a high performance karting facility for some good racing and I wanted to do something as a fun little project...

Homework Statement find the 1st order correction for the 1st excited state with spin when the H'=(eB0/2mc).Lz+2Sz z the direction this proplem for the charge particleon sphere of radius R with magnatic field B Homework Equations l=1 m=0,1,-1 [b]3. ]The attempt at a...

Sag formula When measuring a distance with a 100 foot steel tape supported at both ends the sag formula needs to be applied to correct the distance. Does anybody know why an overall distance does not work in this sag formula? For example If you measure a distance of 735 feet you would have...

what is the lowest-order correction to the ground state for the pendulum with small angle?

Homework Statement using first-order perturbation theory ,estimate the correction to the ground state energy of a hydrogenic atom due to the finite size of the nucleus, assume it's spherical nucleus. Homework Equations you can employ the fact that the electrostatic potential fi...

Whoops, I meant to say tact. Hehe, maybe tactons are the gauge bosons for the tact force. My Chemistry teacher, who has a Ph.D in Biology., is teaching us that one can use the Celsius temperature scale for the Ideal Gas Law using (approximate) R = 0.0821 \frac{atm * L}{mol * K} . Where R is...