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===== Homework for Spins =====
  - (General State) 
    - {{page>homework:ph425questions:generalstatea}}
    - {{page>homework:ph425questions:generalstateb}}
    - {{page>homework:ph425questions:generalstatec}}
  - (YBasis) {{page>homework:prefacequestions:ybasis}}
    - {{page>homework:prefacequestions:ybasisa}}
    - {{page>homework:prefacequestions:ybasisb}}
    - {{page>homework:prefacequestions:ybasisc}}
  - (Orthogonal) \textit{This problem displays the benefits of using bra-ket notation as opposed to matrix notation.  Part a) involves practice using orthogonality conditions to find unknown states, and use of the inner product is common.} {{page>homework:ph425questions:orthogonal}}
    - {{page>homework:ph425questions:orthogonala}}
    - {{page>homework:ph425questions:orthogonalb}}
  - (MeasurementProbabilities) {{page>homework:ph425questions:measurementprobabilities}}
    - {{page>homework:ph425questions:measurementprobabilitiesa}}
    - {{page>homework:ph425questions:measurementprobabilitiesb}}
    - {{page>homework:ph425questions:measurementprobabilitiesc}}
  - (Histogram) \textit{This is designed to be a relatively easy problem that tests students' knowledge of the fourth postulate of quantum mechanics.  The problem also introduces histograms in a simple setting.} {{page>homework:ph425questions:histogram}}
    - {{page>homework:ph425questions:histograma}}
    - {{page>homework:ph425questions:histogramb}}
    - {{page>homework:ph425questions:histogramc}}
  - (InOut) \textit{The introduction of states that do not have the basis $\vert + \rangle$ or $\vert - \rangle$ may throw some students off, but using the fourth postulate makes this problem straightforward.} {{page>homework:ph425questions:inout}}
  - (Phase) \textit{This problem shows how relative phases can affect probability calculations.  Practice with the inner product and the fourth postulate of quantum mechanics is a main focus as well.} {{page>homework:ph425questions:phase}}
    - {{page>homework:ph425questions:phasea}}
    - {{page>homework:ph425questions:phaseb}}

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