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11 Nov 2019
However much of his question that can be answered is much appreciated.
9. Consider a particle in (one-dimensional) free space: i.e. V(x)- 0 for all x. a) Write the Schrödinger equation for this system. VEAe+ Be is a solution, and determine the energy of the particle. c) Is the energy quantized? d) Show that if A = 0 then y is an eigenfunction of the momentum operator and determine he momentum. Interpret y e) Show the that if B = 0 then Ψ is an eigenfunction of the momentum operator and determine momentum. Interpret your results in terms of the particle's motion, and compare/contrast to your answer to part c. f) For either r case A = 0 or B = 0, the particle's momentum has a single known value. This is therefore the average value. Why can't you use the expression to arrive at the same result? g) Discuss the physical significance of the wavefunction Ψ using words like superposition".
However much of his question that can be answered is much appreciated.
9. Consider a particle in (one-dimensional) free space: i.e. V(x)- 0 for all x. a) Write the Schrödinger equation for this system. VEAe+ Be is a solution, and determine the energy of the particle. c) Is the energy quantized? d) Show that if A = 0 then y is an eigenfunction of the momentum operator and determine he momentum. Interpret y e) Show the that if B = 0 then Ψ is an eigenfunction of the momentum operator and determine momentum. Interpret your results in terms of the particle's motion, and compare/contrast to your answer to part c. f) For either r case A = 0 or B = 0, the particle's momentum has a single known value. This is therefore the average value. Why can't you use the expression to arrive at the same result? g) Discuss the physical significance of the wavefunction Ψ using words like superposition".
Trinidad TremblayLv2
10 Apr 2019