Transcript When quantum numbers become large.

Valid Wave Functions
If the probability of finding a particle between [x,x+dx] at time t is
|(x,t)|2 dx dt= *(x,t)(x,t) dx, then ....
(A) ...
 2

3
3
* 
d
r

(
r
,
t
)

d
r

(
r
,
t
)

(
r
, t)  1


when integrated over all space.
(B) ... it is sufficient to demand that  must be bounded.
(C) ... there is no constraint on .
(D) ...  must be a real function.
(E) ... /x must be > 0 everywhere.
Valid Wave Functions
If the probability of finding a particle between [x,x+dx] at time t is
|(x,t)|2 dx dt= *(x,t)(x,t) dx, then ....
(A) ...
 2

3
3
* 
d
r

(
r
,
t
)

d
r

(
r
,
t
)

(
r
, t)  1


when integrated over all space. This means that we are sure to find the
particle somewhere in space.
(B) ... it is sufficient to demand that  must be bounded.
(C) ... there is no constraint on .
(D) ...  must be a real function.
(E) ... /x must be > 0 everywhere.
Relationship between classical theory and quantum theory
When do you not need to describe a physical system using quantum
mechanics?
(A) When quantum numbers become large.
(B) When quantum numbers are small.
(C) When masses are greater than that of a Uranium atom.
(D) When energies are large.
(E) When your professor says so.
Relationship between classical theory and quantum theory
When do you not need to describe a physical system using quantum
mechanics?
(A) When quantum numbers become large.
Actually, in the limit of
n 
(B) When quantum numbers are small.
(C) When masses are greater than that of a Uranium atom.
(D) When energies are large.
(E) When your professor says so.