Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
4. A particle of mass M is constrained to be on a line along the z axis perpendicular to the earth's surface in a gravitational field where g is the acceleration of gravity. a. Write the Schrödinger equation for this system. b. Determine the boundary conditions that must be satisfied by the wavefunction for this system.

4. A particle of mass M is constrained to be on a line along the z axis perpendicular to the earth's surface in a gravitational field where g is the acceleration of gravity. a. Write the Schrödinger equation for this system. b. Determine the boundary conditions that must be satisfied by the wavefunction for this system.

icon
Related questions
Question
100%
Pls answer no. 4
1. Which of the following functions are eigenfunctions of the operator and which of ? Give the eigenvalues where appropriate. a. y = ekx b. y = cos(kx) C. y = eax^2 2. True or False. a. (A+B)f(x) is always equal to Af(x) + Bf(x) b. A[f(x) + g(x)] is always equal to Âf(x) + Âg(x) c. BÊt(x) is always equal to CBf(x) 3. Calculate the probability of finding the particle in a one-dimensional box of length a at n=1 in the interval 0.100a to 0.250a. wave function for a particle in a box: nnx sin 4. A particle of mass M is constrained to be on a line along the z axis perpendicular to the earth's surface in a gravitational field where g is the acceleration of gravity. a. Write the Schrödinger equation for this system. b. Determine the boundary conditions that must be satisfied by the wavefunction for this system. 5. If a hexatriene molecule absorbs light of 2500 Å to change a m electron from n=1 to n=2, what is the length of the molecule?
Transcribed Image Text:1. Which of the following functions are eigenfunctions of the operator and which of ? Give the eigenvalues where appropriate. a. y = ekx b. y = cos(kx) C. y = eax^2 2. True or False. a. (A+B)f(x) is always equal to Af(x) + Bf(x) b. A[f(x) + g(x)] is always equal to Âf(x) + Âg(x) c. BÊt(x) is always equal to CBf(x) 3. Calculate the probability of finding the particle in a one-dimensional box of length a at n=1 in the interval 0.100a to 0.250a. wave function for a particle in a box: nnx sin 4. A particle of mass M is constrained to be on a line along the z axis perpendicular to the earth's surface in a gravitational field where g is the acceleration of gravity. a. Write the Schrödinger equation for this system. b. Determine the boundary conditions that must be satisfied by the wavefunction for this system. 5. If a hexatriene molecule absorbs light of 2500 Å to change a m electron from n=1 to n=2, what is the length of the molecule?
Expert Solution
steps

Step by step

Solved in 4 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer