Answer to Question #184374 in Physical Chemistry for schadrac

Question

The

Schrödinger equation

is a

linear

partial differential equation

t

hat governs the

wave function

of

a quantum

-

mechanical system. The most general form is the time

-

dependent Schrödinger equation,

which gives a description of a system evolving wi

th time and it

i

s given as follow:

i

ħ

𝑑

𝑑𝑡

ǀ

𝜓

(

𝑡

)

) =

𝐻

̂

ǀ

𝜓

(t))

As in

Schrödinger

’s cat illustration, c

onsider an electron as a

“

particle in a box

”

with

a kinetic

energy (KE) of 1

00

J

.

Based on the given information, c

alculate the uncertainty

in position (

∆

𝑥

)

for this electron

. State all your assumptions

(if any)

.

Answer 1

Uncertainty in position ;

$=3.3×10 ^{-6}eV$