A particle is described by the wave function where A0. Find the normalization constant A.
2. Prove Find the value of the normalization constant A for the wave function y Axe 2. Prove Find the value of the normalization constant A for the wave function y Axe
Extra Credit (3 points to Mideterm-2) Q1. A particle is described by the wave function (x) b(a2-x2) for -a sx s a and (x) 0 for x -a and x +a, where a and b are positive real constants. (a) Using the normalization condition, find b in terms a. (b) What is the probability to find the particle at x = +a/2 in a small interval ofwidth 0.01 a ? (c) What is the probability for the particle to be...
A. Normalize the wave function Ψ=Ae^(-ax^2) where A is the normalization constant and a is an integer. A= ? B. What is the expected value of the momentum? <p> = ?
Problem 1. Wave function An electron is described by a wave function: for x < 0 *(z) = { ce Ce-s/1(1 – e-3/4) for x > 0 : where I is a constant length, and C is the normalization constant. 1. Find C. 2. Where an electron is most likely to be found; that is, for what value of x is the prob: bility for finding electron largest? 3. What is the average coordinate 7 of the electron? 4. What...
Consider a particle confined to one dimension and positive with the wave function Nxear, x20 x<0 0 where N is a real normalization constant and α is a real positive constant with units of (length)-1. For the following, express your answers in terms of α: a) Find the normalization constant N. What are the units of your result and do they make sense? b) What is the most probable location to find the particle, or more precisely, at what z...
Consider a particle confined to one dimension and positive r with the wave function 0, z<0 where N is a real normalization constant and o is a real positive constant with units of (length)-1. For the following, express your answers in terms of a: a) Calculate the momentum space wave function. b) Verify that the momentum space wave function is normalized such that (2.4) c) Use the momentum space wave function to calculate the expectation value (p) via (2.5)
Consider a particle described by the wave function Calculate the time derivative in where is the probability density, and shows that the continuity equation is valid, where the probability current Use the Schrodinger equation. We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
A quantum object confined to a container of dimension a is described by this unnormalized wave function: this wave function Phi(x)n = A(1-x/a) where A is the normalization constant. Given that 0 ≤ x ≤ a, what is the value of the constant A?
consider a particle with the wave function v(x)=N[sin(x)+sin(6x)] and the boundary condiitons 0<x<pi. Find the value of normalization constant
1. A particle is described by wave function: = A exp(-alphax^2). Find the potential energy V(x) with V(0)=0. And what is the energy of the particle?