exam_1_guide

exam_1_guide - PHY 237 EXAM 1 AD HOC STUDY GUIDE...

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PHY 237 EXAM 1 – AD HOC STUDY GUIDE +uncertainty relations +differential equations +integrals +probability +superposition Uncertainty Relations position – momentum position – wave number position – velocity energy – time Differential Equations SWE o operators o connection to DeBroglie relations o separation of variables TISWE o 2 nd order ODE o solutions in each region when V(x) is constant E < V non-traveling (damped) exponentials negative sign in TISWE E > V traveling (complex) waves positive sign in TISWE matching coefficients at boundaries o concavity arguments about solutions negative sign in TISWE positive sign in TISWE o ground state solutions vs. excited states Dromedary camel vs. Bactrian camel magnitude of second derivative magnitude of curvature magnitude of curviness number of nodes o solutions when V(x) is not constant: NOT THERE YET IN COURSE TDSWE o 1 st order ODE
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exam_1_guide - PHY 237 EXAM 1 AD HOC STUDY GUIDE...

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