Terms Definition and 1000 Threads

Hey everyone, This is a really strange question and I wasn't sure where to post it, but I need those who are well versed in physics and math to help with this. I recently started a new band and we came up with the symbol "1_" as our logo. We had a name, One Unknown, but we found out that it...

In the double slit experiment there are interference terms which are responsible for the way in which particles appear on a screen (diffraction pattern). The density matrix for an electron with spin |+X> going into a stern Gerlach alligned in the z direction also has off diagonal terms which...

A problem involving Force in terms of time? Homework Statement There is a body of 3 kg which is moving to the right with a velocity of 10 m/s. A force of 6 N/s2t2 is applied on the body to the left. How much distane will the body have traveled from t=0 when its velocity is 0 m/s...

Hello, I can't seem to find a reference formulating the Schrödinger equation as a set of two differential equations in terms of the modulus |\psi| and the phase S instead as one diff. eq. in terms of the complex wavefunction \psi = |\psi|e^{i S}. Can anyone show me the way?

Homework Statement The Gamma function is given by \Gamma(x) = 0∫∞ tx-1e-t dt Evaluate 0∫∞ exp(-αy2)dy in terms of Gamma functions. Homework Equations n/a The Attempt at a Solution Honestly, I don't know where to start. I have knowledge of parametric differentiation (we use...

Write f(x) in terms of the unit step function u(x). $u(x)=\left\{ \begin{array}{rcl} 1\ &\text{if}& \ x\geq 0 \\ 0\ &\text{if}& \ x<0\end{array} \right.$ $f(x)=\left\{ \begin{array}{rcl} 1\ &\text{if}& \ 2n\le x\le 2n+1 \\ 0\ &\text{elsewhere}\end{array} \right.$

Homework Statement x' ={{-1,1},{-4, 3}}*x, with x(0) = {{1},{1}} Solve the differential equation where x = {{x(t)}, {y(t)}} Homework Equations The Attempt at a Solution I have e^t*{{1},{-2}} + e^t*{{t},{2t+1}} but I'm not sure how to get it in terms of what it's asking.Edit: Please quick...

Homework Statement Which terms of this sequence add up to 1010100? (Don't need to be consecutive terms) {an}∞n=1 = {n(n+1)/2}∞n=1 Homework Equations The Attempt at a Solution The sequence is made up of the sums of all the numbers less than and including n. Don't really know much more...

According to wikipedia :- " Formally, temperature is defined as the derivative of the internal energy with respect to the entropy." I always thought entropy is defined in terms of energy and temperature. IS this true that temperature is defined in terms of entropy and energy? According...

Hello, I have two functions say f1(β) and f2(β) as follows: f1(β)=1/(aδ^2) + 1/(bδ) + O(1) ... (1) and f2(β)= c+dδ+O(δ^2) ... (2) where δ = β-η and a,b,c,d and η are constants. Eq. (1) and (2) are the Taylor series expansions of f1(β) and f2(β) about η...

Homework Statement The problem I am doing is problem 1.55 in Schroeders Intro to Thermal Physics. Unfortunately, I have to come here for help a lot because the office hourse are not until after the homework is due...In any case, the first part of the question was to show that the potential...

Reparametrize the curve R(t) in terms of arc length measured from the point where t = 0 R(t) is defined by x = et, y = \sqrt{2}t, z = -e-t Arc length S = ∫ ||R'(t)||dt ||R'(t)||= sqrt{\dot{x}2 + \dot{y}2 + \dot{z}2}The attempt at a solution Getting R'(t) ==> x = et, y = \sqrt{2}, z = e-t...

hi i am not a newbie to physics but some terms are quite confusing such as inertia, momentum and many other similar ones can anyone explain what actually the momentum is so that my concept become more clear about it.. thank you

Say we have a Lagrangian \mathcal{L}=\bar{u}i\kern+0.15em /\kern-0.65em Du+\bar{d}i\kern+0.15em /\kern-0.65em Dd-m_u\bar{u}u-m_d\bar{d}d, where u and d are fermions. In Peskin&Schroeder p. 667 it says that if m_u and m_d are very small, we can neglect the last two terms of the Lagrangian. I'd...

I think that buoyancy is caused by the increase of density with depth (the deeper you go, the more molecules there are per unit volume). Therefore an object in a fluid will be hit by more of the fluid molecules from below than from above (even if the difference is only a tiny fraction of 1%). Is...

Homework Statement Prove that the unit vector r{hat} of two-dimensional polar coordinates is equal to r{hat}= x{hat}cosθ + y{hat}sinθ and find the corresponding expression for θ{hat}. all I need is the last part... I'm just not sure what θ{hat} is? How do I go about doing this? Nothing in my...

Can someone explain how the Stark Effect works in Layman's terms? I'm trying to understand how an electric field can cool down atoms. What is the electric field doing exactly to the atoms? How is it lowering the atomic energy levels? Is there a difference between Stark Shifting and Stark...

I've been having a very difficult time understanding why band structure is expressed in terms of momentum/crystalline directions. I've included a picture of the band structure of silicon so that you can better understand my question. I think I understand basic crystalline structures and the...

Hi, I remember having read in basic calculus that the following is true, but I don't know what this property is called and am having a hard time finding a reference to this. d u(x,y) = \frac{\partial u}{\partial x} dx + \frac{\partial u}{\partial y} dy Ques: Is this true ? Is this true for...

Hi there, I apologise that I should probably know this/its a stupid question but I seem to have forgotten all physics over the holiday and so any help would be great! I have been told that there is a beam of atoms with spin quantum number 1/2 and zero orbital angular momentum, with spin +1/2...

Hi, I wonder if anyone knows when (maybe always?) it is true that, where z=x+iy \text{ and } f : \mathbb{C} \to \mathbb{C} \text{ is expressed as } f=u+iv, \text{ that } f'(z)=\frac{\partial u}{\partial x}+i\frac{\partial v}{\partial x}? I'm pretty sure that this is true for f=exp. I...

Edward Nelson, a Princeton mathematician showed that quantum mechanics could be derived from the principle that elementary particles are subjected to a universal jiggling of an unspecified cause. As I understand the obstacle to use this mathematical model as a physical one, is that dynamics of...

Given an equation for a line y=7x/3, how can i define it in mathematica using x,y and theta. I am eventually going to have to find the intersection of this line to a circle with the equation Circle[{0,9},5] as a function of theta. I thought maybe if i use the rule tan(θ) = y/x then id get...

Homework Statement A ladder of length L and mass M leaning against a wall. Assuming the wall and the floor are frictionless, the ladder will slide down the wall and along the floor intl the left end closes contact with the wall. Before the ladder loses contact with the wall there is one degree...

"I have agreed to the Terms and Conditions..." Peng here. As I installed Adobe Flash update #15,203,203 and clicked the usual "blahb lah blah terms and crap, don't use Flash to create a nuclear weapon or biological warfare please or we'll sue you", I started wondering how often people ever...

Homework Statement Give an example of a sequence {an}, satisfying the following: {an} is monotonic 0<an<1 for all n and no two terms are the same lim(n→∞) an = 1/2 Homework Equations what is monotonic The Attempt at a Solution 1/(2√n) n/(2n-1) 1/2^n just been trying...

Homework Statement Find y" in terms of x and y: y^2 + 2y = 2x + 1 Homework Equations N/A The Attempt at a Solution I found the first derivative: y^2 + 2y = 2x + 1 2yy'+2y'=2 2y'.(y+1)=2 y'=2/2(y+1) y'=1/(y+1) But I'm having trouble moving on from there.

I appear to be getting two sides with the same unknown. Does it mean I'm screwed and can't solve it in terms of "r"? http://img716.imageshack.us/img716/4409/image2011121500032.jpg

Homework Statement given: Vn+1=Vn*cos(pi/2^(n+2)) Homework Equations Write a sequence Vn in terms of n The Attempt at a Solution we substitute n with n-1 and we get: V(n-1)+1= Vn-1*cos(pi/2^(n-1+2)) Vn=Vn-1*cos(pi/2^(n+1) Is this correct?

As part of my problem I need the following condition to hold: \frac{2^{n(H+\epsilon)}}{\epsilon}:=\delta^{-\theta} for some \epsilon, \delta and \theta all in (0,1). Now, I would like to rearrange the equation (solve for \epsilon[itex/] in terms of the rest of the parameters) so as to have the...

Hi. Can someone explain to me how to sort a Series so that the terms are in increasing powers of the exponent? For example the code: myseries = Normal[ Series[Sqrt[1 - w], {w, 0, 5}]] /. w -> 1/z produces 1-\frac{7}{256 z^5}-\frac{5}{128 z^4}-\frac{1}{16 z^3}-\frac{1}{8 z^2}-\frac{1}{2...

We just did atomic physics in class, and my teacher assumed everyone had already taken chemistry so she really skimmed through the material, and I have yet to take chemistry so I am beyond lost with this chapter. I read the chapter and it is so technically written that I don't comprehend it...

dear PF.. what is the Bernoulli equation in terms of energy per unit volume the equation include the 1) static pressure 2) hydrostatic pressure 3) dynamic pressure 4) stagnation pressure

Homework Statement \frac{\frac{2}{3}x(x^{2}+4)^{1/2}(x^{2}-9)^{-2/3}-x(x^{2}-9)^{1/3}(x^{2}+4)^{-1/2}}{x^{2}+4} The Attempt at a Solution \frac{x(x^{2}+4)^{-1/2}(x^{2}-9)^{-2/3}(\frac{2}{3}(x^{2}+4)-(x-9))}{x^{2}+4} Then: \frac{x(\frac{2}{3}(x^{2}+4)-(x-9))}{(x^{2}+4)^{3/2}(x^{2}-9)^{2/3}}...

This may seem obvious, but please define these for me, in as much details as possible. What does it mean to: "be at rest" "be still" "be stationary" "to be in motion" "to move" "to travel" Please do so without using one of the words in another one's definition (I.e. stationary means...

Homework Statement Let C be the line segment connecting the points (x1,y1) and (x2,y2). More over let the line integral over C of (x dy - y dx) = x1y2 - x2y1. Suppose the vertices of a polygon, listed in counter-clockwise order, are (x1y1), (x2y2), ... , (xnyn). Show that the area of the...

Homework Statement A group G acts transitively on a non empty G-set S if, for all s1, s2 in S, there exists an element G in G such that g*s1 = s2. Characterize transitive G-set actions in terms of orbits. Prove your answer Homework Equations Transitive G-set Actions: for all s1, s2 in S...

Homework Statement Find the first 4 nonzero terms of: e^{t}cos(t) Homework Equations The Attempt at a Solution I am trying to multiply the terms of two known series for my answer, but I'm not sure how to do it efficiently. Should I list 4 terms of each series, then...

The concept of describing something in layman's terms has come into wide use in the English speaking world. To put something in layman's terms is to describe a complex or technical issue using words and terms that the average individual (someone without professional training in the subject area)...

A thought just struck me today after watching a lecture on the construction of the rational numbers. What is the definition of 'greater than (>)' and 'less than (<)' in the real number system. The only way I can think to describe it is to make some reference to the Euclidean distance between the...

Homework Statement How many terms of the series ∞ Ʃ (-1)n/(ln(n+1)) n=1 are needed in order to estimate the exact sum within .01 Homework Equations I know that I need to use the remainder estimate for the integral test where Rn=s-sn and that ∫ from (n+1) to ∞ of f(x)dx \leq Rn...

Homework Statement "A rod of mass 4.0 kg and length 1.5 m hangs from a hinge. The end of the rod is then given a 'kick' so that it is moving at a speed of 5 m/s. How high will the rod swing? Express you answer in terms of the angle the rod makes with the vertical.Homework Equations KE(rot) =...

Homework Statement The ground state wave function for a particle of mass m moving with energy E in a one-dimensional harmonic oscillator potential with classical frequency omega is: u(subscript 0) (x)= N(subscript 0) exp((-alpha^2)(x^2)/2) and alpha=sqrt (m *omega/h-bar) where...

Homework Statement I'm trying to simplify this polynomial ((s+1)/(2+s))/((s+1)+((s+1)/(s+2))(s+1)) It's more readable if you view it here: http://www.wolframalpha.com/input/?i=%28%28s%2B1%29%2F%282%2Bs%29%29%2F%28%28s%2B1%29%2B%28%28s%2B1%29%2F%28s%2B2%29%29%28s%2B1%29%29 It simplifies...

Homework Statement A particle moving in xy plane has velocity components in x and y directions Dx/dt = b1+c1t and dy/dt = b2+c2t A) integrate above equations to give displacement components x and y as functions of time B) write the velocity (v) of the particle at time t in terms of...

I'm relatively knew to fluid dynamics. I'm self teaching myself. Could someone explain what it means to say a function or vector is a source term? Are there any significant mathematical properties/uniqueness's? I'm working with vector matrices, so if you could explain in this context that...

If you have a polynomial like (1+x)^6 = x^6+6 x^5+15 x^4+20 x^3+15 x^2+6 x+1, What function would you use to pick only the last N terms? For instance, for N=3 pick x^6+6 x^5+15 x^4 I've being using sum of a binomial times something, but was wondering if there is anything more simple. Thanks!

THIS ISN'T WORKING AT ALL! I'm trying to define a matrix M in terms of a predefined matrix N by using the following for loop: For[a=1,a<=12,a++,M[[a,a]]=N[[1,a]]] So I just want the diagonal of M to be the first row of N. But this is not working at ALL. Does anyone see what I'm doing wrong?

Homework Statement Consider the following convergent series. Then complete parts a throw d below. sum[k=1,inf] 5/k^7 a. Find an upper bound for the remainder in terms of n Homework Equations Estimating Series with Positive Terms Let f be a continuous, positive, decreasing...

How can a system of non-linear differential equations be solved using Mathematica? More specifically, I understand the process that needs to be executed, but I don't understand how to make it work syntactically. The process as I understand it: Four expressions are given in four...