Quantum Theory, particle in a ring

[yesmale4]

Homework Statement

Consider the following statements for a particle in a ring. Determine whether each statement is true or false.

1.The energy levels are equally spaced.

2. The ground-state energy of the system is zero.

3.The angular momentum Lz of a particle is quantized with only possible values of mℏ, (m=0,±1,±2,…).

4. Energy transition that absorbs the photon of the longest wavelength is from m=0 to the m=1 level.

5. Ψ(φ)=cos(φ) is an eigenfunction of the kinetic energy operator T.

6. All energy levels of the system are degenerate.

Relevant Equations

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hello i would to get some help with my homework.
1. true
2. i dont know
3. true
4. i dont know
5, false
6. i dont know
about 2,4,6 i really have know idea what to think I really appreciate help

 

[kuruman]

According to our rules, to receive help, you need to show some credible effort towards answering the question(s). "i dont know" is not good enough. How about telling us what you do know and why you think that your answers in 1, 3 and 5 are what you say they are?

Please read, understand and follow our homework guidelines here
https://www.physicsforums.com/threads/homework-help-guidelines-for-students-and-helpers.686781/