Physics 31 Spring, 2008
Solution to HW #8
In region I, the Schroedinger equation is - h 2 d2 + 0 - E = 0, 2m dx2
Problem A For this problem, you are to work out the solution for the wave function in a finite square well, for the case of an odd w
Physics 31 Spring, 2008
x 3.1915 A
Solution to HW #6
Problem A The wave function of a particle is given by
2
55 The wave function of a certain particle is = A cos2 x for -/2 < x < /2. (a) Find the value of A. (b) Find the probability that the pa
Physics 31 Spring, 2008
Solution to HW #8
In region I, the Schroedinger equation is - h 2 d2 + 0 - E = 0, 2m dx2
Problem A For this problem, you are to work out the solution for the wave function in a finite square well, for the case of an odd w
Physics 31 Spring, 2008
Solution to HW #11
The part is zero,
2 0
cos d = 0,
Problem C Evaluate the following integrals. You should write the cartesian coordinates x or z in terms of spherical polar coordinates. Remember that the volume element w
Physics 31 Spring, 2008
x 3.1915 A
Solution to HW #6
Problem A The wave function of a particle is given by
2
55 The wave function of a certain particle is = A cos2 x for -/2 < x < /2. (a) Find the value of A. (b) Find the probability that the pa
Physics 31 Spring, 2008
Solution to HW #10
Problem A A particle of mass m moves in a three dimensional box of unequal sides L1 , L2 , and L3 . Find the energies of the six lowest states if L1 = L, L2 = 2L, and L3 = 3L. Which of these states are deg
Physics 31 Spring, 2008
Solution to HW #11
The part is zero,
2 0
cos d = 0,
Problem C Evaluate the following integrals. You should write the cartesian coordinates x or z in terms of spherical polar coordinates. Remember that the volume element w
Physics 31 Spring, 2008
Solution to HW #10
Problem A A particle of mass m moves in a three dimensional box of unequal sides L1 , L2 , and L3 . Find the energies of the six lowest states if L1 = L, L2 = 2L, and L3 = 3L. Which of these states are deg
Physics 31 Spring, 2008
Info about Final Exam
Know how to sketch the three dimensional electron orbitals (wave functions) for the hydrogen atom that we discussed in class. What are the spherical harmonics? You don't have to memorize them, but you
Physics 31 Spring, 2008
Info about Final Exam
Know how to sketch the three dimensional electron orbitals (wave functions) for the hydrogen atom that we discussed in class. What are the spherical harmonics? You don't have to memorize them, but you
Physics 31 Information about Exam 2 Spring, 2008
There will be an exam in class (9:2010:35 am) on April 17, 2008. The exam will be closed book, but you may bring one sheet of notes, size 8 1 11 inches, written on both sides. 2 (Remember that you wil
Physics 31 Information about Exam 2 Spring, 2008
There will be an exam in class (9:2010:35 am) on April 17, 2008. The exam will be closed book, but you may bring one sheet of notes, size 8 1 11 inches, written on both sides. 2 (Remember that you wil
Physics 31: Homework #8 Due Thursday, March 27, 2008 Problem A: For this problem, you are to work out the solution for the wave function in a finite square well, for the case of an odd wave function. (In class, we did the case of an even wave functio
Physics 31: Homework #8 Due Thursday, March 27, 2008 Problem A: For this problem, you are to work out the solution for the wave function in a finite square well, for the case of an odd wave function. (In class, we did the case of an even wave functio
Physics 31: Homework #6 Due Thursday, March 13, 2008 Parts (a)(d) of Problem A are the same as Problem A from Homework #5. This week, just do part (e). Problem A: The wave function of a particle is given by (x) = N exp - x 3.1915 A
2
(When you eval
Physics 31: Homework #6 Due Thursday, March 13, 2008 Parts (a)(d) of Problem A are the same as Problem A from Homework #5. This week, just do part (e). Problem A: The wave function of a particle is given by (x) = N exp - x 3.1915 A
2
(When you eval
Physics 31: Homework #9 Due Thursday, April 3, 2008 Problem A: Show that the ground state harmonic oscillator wave function 0 (x) = m h
1/4
exp -
mx2 2 h
is a solution of the (time-independent) Schroedinger equation with the appropriate eigenvalu
Physics 31: Homework #10 Due Thursday, April 10, 2008 Problem A: A particle of mass m moves in a three dimensional box of unequal sides L1 , L2 , and L3 . Find the energies of the six lowest states if L1 = L, L2 = 2L, and L3 = 3L. Which of these stat
Physics 31: Homework #9 Due Thursday, April 3, 2008 Problem A: Show that the ground state harmonic oscillator wave function 0 (x) = m h
1/4
exp -
mx2 2 h
is a solution of the (time-independent) Schroedinger equation with the appropriate eigenvalu
Physics 31: Homework #7 Due Thursday, March 20, 2008 Problem A: Find x for a particle described by the ground state wave function of an infinite square well. You will need the following integrals: sin2 x dx = 1 x - 1 sin x cos x 2 2
x sin2 x dx = 1
Physics 31: Homework #11 Due Thursday, April 23, 2008 Problem C: Evaluate the following integrals. You should write the cartesian coordinates x or z in terms of spherical polar coordinates. Remember that the volume element will be r2 dr sin d d, and
Physics 31: Homework #10 Due Thursday, April 10, 2008 Problem A: A particle of mass m moves in a three dimensional box of unequal sides L1 , L2 , and L3 . Find the energies of the six lowest states if L1 = L, L2 = 2L, and L3 = 3L. Which of these stat
Physics 31: Homework #7 Due Thursday, March 20, 2008 Problem A: Find x for a particle described by the ground state wave function of an infinite square well. You will need the following integrals: sin2 x dx = 1 x - 1 sin x cos x 2 2
x sin2 x dx = 1
Physics 31: Homework #11 Due Thursday, April 23, 2008 Problem C: Evaluate the following integrals. You should write the cartesian coordinates x or z in terms of spherical polar coordinates. Remember that the volume element will be r2 dr sin d d, and