Asume the wave function Ψ(x) = A/(x²+a²) whith x real,
A and a constants
a) find the normalized wave function Φ(p) un the
momentum space associated to Ψ(x)
b) use Φ(p) yo compute the expected values for p, p²,
and σ_p
c) verify if this state fulfills the Heisenberg
uncertainty principle
Diagonalize the matrix (That is, find a diagonal matrix D and an
invertible matrix P such that
A=PDP−1.
(Do not find the inverse of P). Describe all eigenspaces of A
and state the geometric and algebraic multiplicity of each
eigenvalue.
A=
-1
3
0
-4
6
0
0
0
1
A sinusoidal wave in a string is described by the wave
function
y = 0.155 sin (0.525x -
46.5t)
where x and y are in meters and t is
in seconds. The mass per length of the string is 13.2 g/m.
(a) Find the maximum transverse acceleration of an element of
this string.
(b) Determine the maximum transverse force on a 1.00-cm segment
of the string.
(c) State how the force found in part (b) compares with the
tension in...