Physics in the information age: qualitative methods in quantum mechanics

Abstract

The traditional pedagogical paradigm in physics is based on a deductive approach. However, with the recent advances in information technology, we are facing a dramatic increase in the amount of readily available information; hence, the ability to memorize the material and provide rigorous derivations lacks significance. Our success in navigating the current "sea" of information depends increasingly on our skills in pattern recognition and prompt qualitative analysis. Inductive learning (using examples and intuition-based) is most suitable for the development of such skills. This needed change in our pedagogical paradigm remains yet to be addressed in physics curricula. We propose that incorporating inductive elements in teaching -by infusing qualitative methods -will better prepare us to deal with the new information landscape. These methods bring the learning experience closer to the realities of active research. As an example, we are presenting a compendium for teaching qualitative methods in quantum mechanics, a traditionally non-intuitive subject. arXiv:1907.08154v2 [physics.ed-ph]

Qualitative methods in condensed matter physics

“…This manuscript expands on our recent premise 1 that teaching physics in the information age should become more intuitive and induction-driven rather than guided by memorization and principles assumed by deductive learning. The underlying reality is that the standard physics curriculum information is now available at our fingertips through smartphones, computers, etc.…”

“…The pathway toward developing inductive learning abilities taken in our preceding work 1 is that of practicing various qualitative methods. They are fast and intuitive, boosting the learner's self-esteem, benefiting both students and professionals in navigating the overwhelming amount of information.…”

Do bras and kets have dimensions?

“…The usefulness of the dimensional analysis must no longer be demonstrated [5,6], whether it is to simply check formulas or to build new physical laws in difficult problems. It can be particularly suited in quantum mechanics which is not known for its very intuitive nature [7]. Nevertheless, very little information can be found about the dimensions of bras and kets in the literature.…”

Do bras and kets have dimensions?

“…The usefulness of the dimensional analysis must no longer be demonstrated [3,4], whether it is to simply check formulas or to build new physical laws in difficult problems. It can be particularly suited in quantum mechanics which is not known for its very intuitive nature [5]. Nevertheless, very few information can be found about the dimensions of bras and kets in the literature.…”

“…This does not bring any new information, since (7) can be deduced from (5). So, at this stage, relations exist between X B , X K and K, but their dimensional formulas are not fixed.…”