I Particle in a 1D box system

In the 1D particle in a box system why don't we take negative integer values of n besides the positive integer values? Well I thought about it and I think the reason is that during derivation we get ka=n (wavelength ) and thus n being negative implies that wavelength is negative hence contradiction.
 
963
213
I think the reason is that during derivation we get ka=n (wavelength ) and thus n being negative implies that wavelength is negative hence contradiction.
what is n?
Iis it related to k= n.pi/L or n.pi/a if a is the width of the box
moreover this condition is due to the acceptable wave function (solution of the Schrodinger equation) being zero at the boundary
i.e. at x=0 and x=a

and which dynamical variable is being quantised ?
Is it energy state ?
and if its energy ,then it may be proportional to n^2 rather than n.
 

DrClaude

Mentor
6,969
3,140
Quantum states are uniquely defined up to a complex phase factor. What difference is there between ±n?
 

jtbell

Mentor
15,368
3,114
In the 1D particle in a box system why don't we take negative integer values of n besides the positive integer values?
How does the wave function change for e.g. the second eigenstate if you replace n = +2 with n = -2? Does this make any difference in physically measurable quantities?
 
Here we are considering the time independent Schrödinger equation.
 
This may not make any difference in the physically measurable that is probability.
 

Want to reply to this thread?

"Particle in a 1D box system" You must log in or register to reply here.

Related Threads for: Particle in a 1D box system

Replies
1
Views
2K
Replies
3
Views
753
Replies
3
Views
2K
Replies
3
Views
1K
  • Posted
Replies
1
Views
880
  • Posted
Replies
3
Views
2K
  • Posted
Replies
3
Views
2K

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving

Hot Threads

Top