In 1930, Einstein argued against the consistency of the time-energy uncertainty relation by discussing a thought experiment involving a measurement of the mass of the box which emitted a photon. Bohr seemingly prevailed over Einstein by arguing that Einstein's own general theory of relativity saves the consistency of quantum mechanics. We revisit…

This paper deals with subtleties and misunderstandings regarding the Clausius relation. We start by demonstrating the relation in a new and simple way, explaining clearly the assumptions made and the extent of its validity. Then follows a detailed discussion of some confusions and mistakes often found in the literature. The addressed points…

The purpose of this study was to construct an instructional systems design model for chemistry teaching laboratories at the undergraduate level to accurately depict the current practices of design experts. This required identifying the variables considered during design, prioritizing and ordering these variables, and constructing a model. Experts…

Undergraduate experiences in lower-division science courses are important factors in student retention in science majors. These courses often include a lecture taught by faculty, supplemented by smaller sections, such as discussions and laboratories, taught by graduate teaching assistants (GTAs). Given that portions of these courses are taught by…

It is shown that a state that is factorizable in the Hilbert space corresponding to some choice of degrees of freedom becomes entangled for a different choice of degrees of freedom. Therefore, entanglement is not a special case but is ubiquitous in quantum systems. Simple examples are calculated and a general proof is provided. The physical…

Arnol'd's second stability theorem is approached from an elementary point of view. First, a sufficient criterion for stability is found analytically as either -[mu][subscript 1] less than U[double prime]/U-U[subscript s] less than 0 or 0 less than U[double prime]/U-U[subscript s] in the flow, where U[subscript s] is the velocity at the inflection…