Can a particle in an infinite square well have degenerate energy eigenstates?

[Joydeep Munshi]

Hi,
in case of a particle inside a box (infinite square well), can degeneracy occur for different energy eigen states?
please explain...

 

[jtbell]

What do you think? Can you get the same value of energy with two different values of n?

 

[phinds]

Hi,
in case of a particle inside a box (infinite square well), can degeneracy occur for different energy eigen states?
please explain...

Is this homework?

 

[Joydeep Munshi]

@jtbell yes degeneracy should not occur in that case...was in doubt about the concept of degeneracy... Thanks

 

[blue_leaf77]

Degeneracy in energy usually arises when there are one or more operators which commute with the Hamiltonian. Moreover, in 1D system it can be shown that degeneracy cannot occur, for example see http://www.physicspages.com/2012/08/23/degenerate-solutions-dont-exist-in-one-dimension/