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=====Homework for Particle on a Ring =====
The following types of problems can be done as part of in-class activities and/or as homework. For examples of in-class activities, see:
  * [[courses:activities:cfact:cfqmringgroup|Energy and Angular Momentum for a Particle Confined to a Ring]]
  * [[courses:activities:cfact:cfqmringgroup2|Time Dependence for a Particle Confined to a Ring ]]
  * [[courses:activities:cfact:cfqmringgroup3|Superposition States for a Particle Confined to a Ring]]
  * [[courses:activities:cfact:cfqmringgroup4|Expectation Values for a Particle Confined to a Ring ]]
Even if done in-class, it can be helpful to have follow-up homework that helps to solidify additional points (such as degeneracy or probability in wave function notation).


  - (RingTable) Complete the table ({{courses:hw:cforces:eigentableringempty.pdf|EigenTableRingEmpty.pdf}}) which summarizes much of what you've learned about the eigenstates of the ring by filling in all the empty boxes. 
  - (RingFunction) \textit{Some quantum calculations for a particle confined to a ring.}{{page>homework:ph426questions:ringfunction}}
    - {{page>homework:ph426questions:ringfunctiona}}
    - {{page>homework:ph426questions:ringfunctionb}}
    - {{page>homework:ph426questions:ringfunctionc}}
  - (RingKet) \textit{Some quantum calculations in Bra-ket notation for a particle confined to a ring.}{{page>homework:ph426questions:ringket}}
    - {{page>homework:ph426questions:ringketa}}
    - {{page>homework:ph426questions:ringketb}}
    - {{page>homework:ph426questions:ringketc}}
    - {{page>homework:ph426questions:ringketd}}
  - (RingCompare) \textit{Some quantum calculations in three different representations for a particle confined to a ring.}{{page>homework:ph426questions:qmringcompare}}
    - {{page>homework:ph426questions:qmringcomparea}}
    - {{page>homework:ph426questions:qmringcompareb}}
    - {{page>homework:ph426questions:qmringcomparec}}
    - {{page>homework:ph426questions:qmringcompared}}
    - {{page>homework:ph426questions:qmringcomparee}}
  - (RingTimeDep) \textit{Some quantum calculations for a particle confined to a ring at different times.}{{page>homework:ph426questions:qmringtimedep}}
    - {{page>homework:ph426questions:qmringtimedepa}}
    - {{page>homework:ph426questions:qmringtimedepb}}
    - {{page>homework:ph426questions:qmringtimedepc}}
    - {{page>homework:ph426questions:qmringtimedepd}}
    - {{page>homework:ph426questions:qmringtimedepe}}
    - {{page>homework:ph426questions:qmringtimedepf}}
    - {{page>homework:ph426questions:qmringtimedepg}}
    - {{page>homework:ph426questions:qmringtimedeph}}
  - (RingFunc) \textit{Some quantum calculations on a wavefunction that is not trivially separated into energy eigenstates for a particle confined to a ring.}{{page>homework:ph426questions:qmringfunc}}
    - {{page>homework:ph426questions:qmringfunca}}
    - {{page>homework:ph426questions:qmringfuncb}}
    - {{page>homework:ph426questions:qmringfuncc}}
    - {{page>homework:ph426questions:qmringfuncd}}
    - {{page>homework:ph426questions:qmringfunce}}

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