Homework Statement
Consider a particle in a potential ;
V(x)=0\ for\ 0<=x<=L and
V(x)=\infty\ otherwise
. Its wave function is a linear superposition of the lowest two stationary states and given by
\psi(x,t)=\frac{1}{2}*(\sqrt{3}...
Homework Statement
A particle is trapped in an infinite potential well, with the infinite walls at ±a. At time t=0, the wavefunction of the particle is
\psi = \frac{1}{\sqrt{2a}}
between -a and a, and 0 otherwise.
Find the probability that the Energy of the particle is \frac{9...
Homework Statement
An infinite potential well with a box in the middle V = 100, the walls of the box go from -L/2 to L/2.
Homework Equations
Schrodinger's equation.
The Attempt at a Solution
Please help.
Homework Statement
An electron is in a Infinite potential well (1-dimensional box with infinite wall boundary conditions) at the second energy level. The width of the box is L. What is the electron density n(x) as a function of the position x?
Homework Equations
time-independent Schrödinger...
I've got this question and I'm absolutely clueless, any help will be greatly appreciated:
The nth energy level for a particle of mass m confined in an infinite potential well is :
E = h^2n^2/8ml^2
where L is the width of the well and h is Planck’s constant. Assuming that the uncertainty...
hi,
I am not getting idea to solve below problem
A particle of mass m is in a one-dimensional ,rectangular potential well for which V(x)=0 for 0<x< L and V(x)=infinite elsewhere. The particle is intially prepared in the ground state ψ1 with eigen energy E1. Then , at time t=0, the potential...
I've been told about the infinite potential well using quantum-mechanics, with mathematical proof. Is there any websites I can look at to understand this theory with less math, but instead, with a theoratical approach? Would classical-physics be able to describe this result?
thanks
Homework Statement
Hi,
Particle of mass m is found in one-dimensional infinite potential well with walls 0<=x<=a.
In t=0 the normalized wave function is:
\psi(x,t=0)=A[1+Cos(\frac{\pi x}{a})]Sin(\frac{2 \pi x}{a})
find psi(x,t)
Homework Equations
?
The Attempt at a Solution...
Hi I am just found this forum and I was wondering if anyone could help me find out what exactly is a Infinite Potential Well. I am just trying to understand what exactly a Infinite Potential Well is as well as what all the equations are really solving for. Sorry if this has been posted before I...
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...
Hi all,
I have an exam tomorrow and this problem concerns me greatly.
An electron is located in an infinitely deep one-dimensional square potential well. The width of the well is 1.00 nm.
(e) Light is shone on the electron causing it to jump from the ground state to the n = 3 state...
Sorry for all the questions - I tend to save them till I'm done with assignments:
Here's the question:
Consider a particle of mass 'm' in a one-dimensional infinite potential well of width 'a'
V (x) = \left\{\begin{array}{c} 0 \ \ \ if \ \ \ 0 \leq x \leq a \\ \infty \ \ \ otherwise...
At t=0 an electron in an infinite potential well has a wave function corresponding to the lowest level of energy. The wave function is equal to the eigenfunction of the Hamiltonian where n=1.
I am asked to calculate the uncertainty of the electron's momentum. I don't really know where to...