My course selections:
e.g. SSCI 1010U
8:10 to 9 a.m.
9:10 to 10 a.m.
10:10 to 11 a.m.
11:10 to noon
12:10 to 1 p.m.
CHMB21 Homework 7; due March 18, 3pm
1. Find what is the value of parameter in (x) = x (x L) that gets us the most
accurate estimate to the ground state energy for a particle in a box (size L) problem.
Resultant equation on optimal
CHMB21 Home work 5; due Feb 11, 3pm
Can we extend the superposition principle to the time-independent Schrodinger
equation (TISE)? In other words if
j (x) = Ej j (x),
where j = 1, 2 and E1 6= E2 will 3 (x) = a1 (x) + b2
CHMB21 Home work 4; due Feb 4, 3pm; each problem gives 2 points
= ~2 d22 and two timeYou are given a free particle (no potential) Hamiltonian H
1 (x, t) = cos(x)eit 2m
2 (x, t) = cos(x)e
CHMB21 Home work 2; due Jan 21, 3pm; each problem gives 1 point
Check whether the following functions are square-integrable (normalizable). Reminder:
function (x) is square-integrable on the interval a x b if the integral of its absolute
CHMB21 Home work 3; due Jan 28, 3pm; each problem gives 1 point
Linearity of operators
Check whether operator A is linear if its action is defined as
(x) = f 2 (x) A(ag
+ bf ) = a2 g 2 + 2abgf + b2 f 2 6= ag 2 + bf 2 (1)
(x) = f 2 (x) is not linear
CHMB21 Home work 8; due Mar 25, 3pm; each problem gives 1 point
unless otherwise stated
1. Show that the 1st excited state of a harmonic oscillator 1 (x) = 4
( = m/~) is indeed an eigenfunction of its Hamiltonian with