For the one-dimensional particle in a box of length L = 1 Å, what will be...

Question

Question

For the one-dimensional particle in a box of length L = 1 Å, what will be the energy of the ground state?

a. Write Schrodinger’s equation for if the potential between 0 and L is zero

b. Write Schrodinger’s equation for if the potential between 0 and L has a constant value of V_o

Answer 1

Answer #1

21 2 0 -31 3 l Uui Conv erin ec ra-n

Answer 2

Similar Homework Help Questions

3. For the one-dimensional particle in a box of length L, a. Write Schrodinger’s equation if...

3. For the one-dimensional particle in a box of length L, a. Write Schrodinger’s equation if the potential between 0 and L has a value of (kx3) b. For this case, what are the boundary conditions? c. Bonus question (5 points): What can be said about the symmetry of the wavefunctions I am having trouble understanding this question for my practice assignment
1. For the one-dimensional particle in a box of length L=1A a. Write an integral expression for the probability of findi...

1. For the one-dimensional particle in a box of length L=1A a. Write an integral expression for the probability of finding the particle between L/4 and L/3, for the fourth excited state. b. Write the wavefunction for the fourth excited state c. Calculate the numerical probability of finding the particle between 0 and L/3, for the ground state. I am having trouble understanding these questions for my practice assignment, I have an exam tonight and I want to be able...
for a particle in a one dimensional box of length L if the particle is on...

for a particle in a one dimensional box of length L if the particle is on the n=4 state what is the probability of finding the particle within a) 0<x<5L/6 b) L/4<x<L/2 c) 5L/6<x<L

help Part B. Open questions. 1. (30 points) For the one-dimensional particle in a box of...

help Part B. Open questions. 1. (30 points) For the one-dimensional particle in a box of length L. a. Write the wavefunction for the fifth excited state b. Calculate the energy for the fifth excited state when L = 18 and m = Ing. c. Write an integral expression for the probability of finding the particle between L/4 and L/2, for the second excited state. d. Calculate the numerical probability of finding the particle between 0 and L15, for the...
P7D.6 Consider a particle of mass m confined to a one-dimensional box of length L and...

P7D.6 Consider a particle of mass m confined to a one-dimensional box of length L and in a state with normalized wavefunction y,. (a) Without evaluating any integrals, explain why(- L/2. (b) Without evaluating any integrals, explain why (p)-0. (c) Derive an expression for ) (the necessary integrals will be found in the Resource section). (d) For a particle in a box the energy is given by En =n2h2 /8rnf and, because the potential energy is zero, all of this...
nh 61. The energy for one-dimensional particle-in-a-box is E=" 1. For a particle in a 0...

nh 61. The energy for one-dimensional particle-in-a-box is E=" 1. For a particle in a 0 three-dimensional cubic box (Lx=Ly=L2), if an energy level has twice the energy of the ground state, what is the degeneracy of this energy level? (B) 1 (C)2 (D) 3 (E) 4 (A) 0

4. A (one dimensional) particle in a box of length 2a (i.e., zero potential energy) is...

4. A (one dimensional) particle in a box of length 2a (i.e., zero potential energy) is represented by the wavefunction v(x) 0, otherwise a. Sketch the wavefunction. Write down the (time independent) Schrodinger equation. Show whether or not the wavefunction is a solution to the equation. b. What does it mean physically if the wavefunction of the particle is NOT a solution to the Schrodinger equation? Explain. c. Determine the normalization constant A. 5. Same system. Find the average or...
For the particle with a mass m in a box with a length of 1 nm,...

For the particle with a mass m in a box with a length of 1 nm, a) Write Schrodinger’s equation b) Write the integral expression for the probability of finding the first excited state between 0.1 nm and 0.5 nm
The eigenfunctions for a particle in a one-dimensional box of length L, and the corresponding energy...

The eigenfunctions for a particle in a one-dimensional box of length L, and the corresponding energy eigenvalues are given below. What is the variance of measurements for the linear momentum, i.e., Op = v<p? > - <p>2? Øn (x) = ( )" sin nga, n= 1, 2,.. En = n2h2 8m12 Note the Hamiltonian operator to give the energy is H = = - 42 8n72 dx2 nh 2L oo O nềh2 412 Uncertain since x is known. Following Question...

Instead of assuming that a one-dimensional particle has no energy (v(x)=0), consider the case of a...

Instead of assuming that a one-dimensional particle has no energy (v(x)=0), consider the case of a one-dimensional particle which has finite, but constant, energy V(x)= V sub zero.. Show that the ID particle in a box wave functions. n(x)= A sin ((pi n x)/a). Also solve the Schrödinger equation for this potential, and determine the energies En Problem 2: Particle in a Box with Non-Zero Energy (2 points) Instead of assuming that a one-dimensional particle has no energy (V(x) =...