1d Definition and 417 Threads

Problem 1 A commuter train travels between two downtown stations. Because the stations are only 1.00 km apart, the train never reaches its maximum possible cruising speed. During rush hour the engineer minimizes the travel interval Δt between the two stations by accelerating for a time interval...

Homework Statement In a historical movie, two knights on horseback start from rest 62 m apart and ride directly toward each other to do battle. Sir George's accleration has a magnitude of 0.21 m/s2, while Sir Alfred's has a magnitude of 0.26 m/s2. How far from Sir George's starting point do...

could anyone suggest the methods for solving the energy eigenvalues in a 1d finite potential well. are there any websites where we can directly get these instead of writing programs for rootfinding

Homework Statement Consider a particle confined in a 1D potential well of length L. Derive the normalized wavefunctions and energies of the eigenstates of the system in terms of the quantum number n, working from the time independent Schördinger equation. With the particle initially in the...

Hi all, I've been looking at the problem of two interacting electrons in a 1D infinite well and wanted to run my conclusions past other people to see if I'm on the right track. The potential is 0 from x=0 to x=1 and infinite outside of this. The 1 particle solutions to this potential are...

Homework Statement Hey, the question is about delta function potentials V(x) = -g[... del(x + 3b/2) + del(x + b/2) + del(x - b/2) ...] going on out to a large x in either direction. a) sketch the ground-state wave fn, write the form of psi(x) for -b/2 to + b/2 b) show that e^z =...

I have just started programming (started on C but currently using Ruby). This is literally my first proper program and I wanted some help and opinions. The problem is I am completely self taught using various random tutorials to learn the language and my own logic for the actual programs, so...

Problem Show that for a particle in a one-dimensional box, in an arbitrary state \psi(x,0), \langle E \rangle \ge E_1. Under what conditions does the equality maintain? Solution Note that any arbitrary particle in a one-dimensional box can be expanded in terms of the eigenstates \phi_n =...

Homework Statement a .450kg ice puck moving east with a speed of 3 m/s has a head on collision with a .9 kg puck initially at rest. Assuming a perfectly elastic collision what will be the speed and direction of each object after the collision? Homework Equations v1 +v1f = v2+v2f...

Hello: There is a well known theorem which asserts that every attractive 1D potential has at least one bound state; in addition, this theorem does not hold for the 2D or 3D cases. I've been looking for a proof in my textbooks on qm but I've been unable to find it. Can you help me out? Thanks!

Hello everyone. I have a question that i think belongs here or in the linear algebra section; but now i put it here, maybe someone will move the post if it's in the wrong place. The question: I have a normalized (1D) state in the x-axis in the harmonic oscillator...

I have trying solving this PDE for some random boundary values, and were wondering if someone could verify my calculations? \[ \begin{array}{l} T_t = DT_{xx} \\ T\left( {0,t} \right) = 0,T(\pi ,t) = 0,T(x,0) = \frac{1}{4}\left( {\left( {x - \frac{\pi }{2}} \right)^2 + \frac{{\pi ^2...

[SOLVED] Very beginner physics 1D motion question! Homework Statement Two cars move in opposite directions toward each other on a level, straight, one-lane road. When both drivers begin to brake, their front bumpers are 275 meters apart. The smaller car is initially moving at 25.0 m/s and the...

For a particle in a 1-dimensional box confined by 0<x<a. a)Construct a wave function phi(x)=psi(x,t=0) such that when an energy measurement is made on the particle in this state at t=0, the following energy values are obtained with the probabilities shown: Energy E_n Obtained ...

Ok, I have been given the steady state diffusion equation in 1d spherical polar coordinates as; D.1/(r^2).'partial'd/dr(r^2.'partial'dc/dr)=0 I know that the solution comes in the form c(r) = A+B/r where A and B are some constants. I just don't know how to get from here to there. I...

Homework Statement The solution to the diffusion equation in 1D may be written as follows: n'(x,t) = N/sqrt(4piDt) * exp(-x^2/4DT) where n'(x,t) is the concentration of the particles at position x at time t, N is the total number of particles and D is the diffusion coefficient. a)...

Hi all first post. Myself and my friends are very much stumped by this question. Any help would be much appreciated! Homework Statement A body with mass m collides directly with a body of mass 3m. If two thirds of the original kinetic energy is lost, find the coefficient of elasticity for...

I am in eleventh standard , In my book it is given about the plane progressive simple harmonic wave , later somewhere is mentioned about intensity of wave what my doubt is intensity is defined as energy/area but what about waves in 2d or 1d plane SHW are 1d as wave progresses in x-axis...

Hi all, I have another post on here relating to Fick's law of diffusion, but before I asked that I really should have started with this question: How do you go from a one dimensional version of the diffusion equation to a cylindrical co-ordinate system of the same equation? I have found...

Homework Statement The position of a particle moving along the x-axis depends on the time according to the equation x = ct2 - bt3, where x is in meters and t in seconds. For the following, let the numerical values of c and b be 3.5 and 1.0 respectively. (b) At what time does the...

Hi, I have a physics problem here that I'm quite stuck on. Maybe I'm making it harder than it seems: A ball is thrown upward with an initial speed, Vo. When it reaches the top of its flight, at a height h, a second ball is thrown at the same initial velocity. Find the height where the paths...

Hi. I have recently designed a simulator about Qunatum Mechanics one dimensional harmonic oscillator. Please try it. I will be glad to read your opinions. http://erham.persiangig.ir/Programs/1386/QM1DHOS10.png Size: 223 KB http://erham.persiangig.ir/Programs/1386/QM1DHOS10.zip"

Homework Statement particle in ground state of 1D harmonic oscillator - spring constant is doubled - what is the probability of finding the particle in the ground state of the new potential Homework Equations v=1/2kx^2 oscillator potential wavefunction ground state n=0 =...

Homework Statement A police car leaves in pursuit of a holdup car 0.50 h after the latter has left the scene of the crime at 120 km/h. How fast must the police car go if it is to catch up with the holdup car in 1.00h? Homework EquationsI'm thinking Vf=Vo+at? i must be wrong, I can't seem to...

FUN 1d motion prob--help Homework Statement The figure (http://img471.imageshack.us/my.php?image=picprobfd5.png) shows a general situation where a stream of people attempt to escape through a door that is closed. The people move toward the door at a speed of v = 3.50 m/s, are each d = .25 m...

For the well shown below (Attachment or Link belew) solve the time independent one dimensional Schrodinger equation for energies less than V0. You may (and should) leave your answer in terms of a single transcendental equation for the allowed wave numbers. \frac{-\hbar^2}{2m} ...

Homework Statement if 3 identical objects with mass m are conneted by springs of spring constant k, moving in 1D. At t=0, the masses are at rest at their equilibrium. position. Mass A is then subjected to an external force. A -> B -> C Where A, B, C are the masses and -> represents the...

Homework Statement Two charges are on the X axis as follows: q1=3x10^-9 C at x=0.4metre and q2=5x10^-9 C at x=-0.2m. What is the size and direction of the sum of forces are on third charge q3=-2x10^-9 C at x=0? Homework Equations F=k|q1q2|/r^2 The Attempt at a Solution By my...

I have just started out with Physics, so please don't expect to much :) I've tried by myself to figure out where x = vt + ½t² comes from; I know (because I've read) how to deduce it from a v versus t graph, and that it only works with a constant acceleration. My question is as follows...

Homework Statement Two boats start together and race across a 42 km wide lake and back. Boat A goes across at 42 km/h and returns at 42 km/h. Boat B goes across at 21 km/h, and its crew, realizing how far behind it is getting, returns at 63 km/h. Turnaround times are negligible, and the boat...

Homework Statement To find the height of an overhead power line, you throw a ball straight upward. The ball passes the line on the way up after 0.70 s, and passes it again on the way down 1.2 s after it was tossed What is the height of the power line? m What is the initial speed of...

Homework Statement 1D polymer, fixed segment length a If the angle between segment j and j+1 is 0, the energy is 0 If the angle is pi the energy is +2J. Compute the correlation function <s_i s_{i+n}>, where s_j = \pm 1 denotes the direction of segment j Find the persistence length Lp...

Hi! I read that in an 1D potential, the solution for the Schrödinger equation is always either symmetric or antisymmetric if the potential is a symmetric function: V(x) = V(-x). How can I proof this? Thanks, for ur answers!

The solution to the diffusion equation in 1D may be written as follows: n'(x,t) = N/sqrt(4piDt) * exp(-x^2/4DT) where n'(x,t) is the concentration of the particles at position x at time t, N is the total number of particles and D is the diffusion coefficient. Write down an expression for the...

INTRODUCTION: This is a problem from my Introduction to Physical Science class using "Conceptual Physics" 10th Ed.by Paul G. Hewitt EXACT PROBLEM: "The coefficient of kinetic friction between a rubber tire and a wet concrete road is 0.5." PROBLEMS FACED: a) Find the minimum time in...

A motorist is traveling at 18 m/s^2 when he sees a deer 38 m ahead. If the maximum negative acceleration is -4.5 m/s^2, what is the reaction time (delta t) of the motorist that will allow him to avoid hitting the deer? Answer in units of 's'. I tried using x(t)=x0+v0t+1/2at^2 and it didn't...

Consider the one dimensional motion of a particle in the potential V(x)=D(e^{-2ax}-2e^{-ax}). I'm supposed to obtain the expressions for x as a function of time separately for the cases that the total energy E is positive, zero or negative. I have used \frac{1}{2}m\dot{x}^2 + V(x) -...

Question states: Derive an expression for the energy of the bound states of a particle in the one-dimensional well defined by: V(x) = \infinity x<=0 (Region I) V(x) = 0 0<x<L (Region II) V(x) = V_0 x>=L (Region III) And its not been too bad. Up until a point. I know for I \psi(x)=0. In...

A tourist being chased by an angry bear is running in a straight line toward his car at a speed of 4.5 m/s. The car is a distance d away. The bear is 24 m behind the tourist and running at 6.0 m/s. The tourist reaches the car safely. What is the maximum possible value for d? In meters. I...

Acceleration -- Rocket 1d Kinematics NASA has developed Deep-Space 1 (DS-1), a spacecraft that is scheduled to rendezvous with the asteroid named 1992 KD (which orbits the sun millions of miles from the earth). The propulsion system of DS-1 works by ejecting high-speed argon ions out the rear...

Starting from rest, a speedboat reaches a speed of 3.4 m/s in 1.8 s. What is the boat's speed after an additional 2.6 s has elapsed, assuming the boat's acceleration remains the same? I have tried finding the velocity for the first 1.8 seconds v = v_0 + a t 3.4 = 0 + a(1.8) 3.4 / 1.8...

Bond is standing on a bridge, 10 m above the road below, and his pursuers are getting too close for comfort. He spots an approaching flatbed truck loaded with mattresses and decides to jump from the bridge onto the truck to make his getaway. He notes that the telephone poles the truck is passing...

A model rocket is launched straight upward with an initial speed of 70.0 m/s. It accelerates with a constant upward acceleration of 1.00 m/s2 until its engines stop at an altitude of 190 m. (a) What is the maximum height reached by the rocket? m I don't know what I am doing wrong...

A person who walks for exercise produces the position-time graph given with this problem. (b) Calculate the average velocity for each segment to verify your answers to part (a). A m/s B m/s C m/s D m/s B is obviously 0 For A I did .20 of an hour is 300 seconds. And 1km =...

Hi all, I'm trying to solve the 1D Schrodinger equation for an arbritary potential, to calculate Franck Condon factors for absorption and emmision spectra. I can do this using iterative techniques (e.g. the Numerov method), but I can't seem to get it to work by discretrizing the hamiltonian...

I think I'm on the right track for this problem, but I'm not entirely sure. Find the solutions to the one-dimensional infinite square well when the potential extends from -a/2 to +a/2 instead of 0 to +a. Is the potential invariant with respect to parity? Are the wave functions? Discuss the...

Hi guys, I am solving the 1D infinite potential well for a particle, but in this case instead of the potential being 0 from -a to a, its shifted to 0 to 2a. I have calculated that the even parity solution is zero. My question is, I have calculated that k=n*Pi/(2*a) by applying the boundary...

Could someone please help me in determine the correct formula(s) to answer this problem? A helicopter is ascending vertically with a speed of 2.50 m/s. At a height of 120 m above the Earth, a package is dropped from a window. How much time does it take for the package to reach the ground...

given the initial boundary value problem u_{tt} - u_{xx} = 0 , 0<x<1, t>0, u(x,0) =1 , 0\leq x \leq 1 , u_{t}(x,0) = \sin(\pi x) , 0\leq x \leq 1 , u_{x} (0,t) = 0 , t \geq 0 , u_{x} (1,t) = 0 . find u(0.5,1). Where u is d'Alembert's solution for the 1D wave equation well f(x)...

1D Time-Indep Sch Equation Solutions... I'm trying to write a C++ program which displays a 'moveable' graph showing the solution (wavefunctions) to the Schrodinger Equation for a Simple Harmonic Oscillator. I need a little help with the physics of it. The idea is that (using the mouse) the...