StudentLearningDifficulties

StudentLearningDifficulties - PHYS 3220 Quantum I Student...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
PHYS 3220 - Quantum I Student Learning Difficulties This document provides a brief summary of common student learning difficulties which have been previously published in studies of student learning in upper-division quantum mechanics. Because many of the documented difficulties fall into well defined categories such as time development, most of the difficulties are grouped into subject-specific tables. In these tables, the phrase, “some students say that …”, may also be read as “answers provided by some students are consistent with the believe that …”. Student learning difficulties related to time development in quantum mechanics Student Learning Difficulties: Time Development Students believe that if the system is initially in an eigenstate of an operator Ĝ, then the expectation value of that operator is time independent. Some students say that an eigenstate of any operator is a stationary state. Some students say that if the system is in an eigenstate of any operator Ĝ, then it remains in the eigenstate of Ĝ forever unless an external perturbation is applied. Some students say that if the time dependent exponential factors cancel out in the expectation value for an operator Ĝ, then the system (e.g., the wave function) does not evolve. Some students say that all allowable quantum states have a definite energy, even states which are superposition of energy eigenstates with different energies. An example of this type of statement is Ψ ( x , t ) = ( Ay 1 + By 2 )exp(- iEt /h) when ψ 1 and ψ 2 are energy eigenstates with different energies.
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern