In part I a simple gedanken experiment is discussed that clearly develops a connection between the rates of accelerated clocks in special relativity theory and the rates of clocks at different points in a uniform gravitational field in any theory which incorporates the equivalence principle, such as general relativity theory. In part II it is shown that the time dilation effect observed when the rate of a moving clock is compared with that of a clock at rest can be derived by observing the Doppler shift, not only of light waves emitted by the moving clock, but of any periodic wave, e.g., sound.
Using the Dyson equation repeatedly, starting with the Green’s function for the infinite medium, the Green’s function for the semi-infinite medium and finally the Green’s function for a slab of a diatomic NaCl-type crystal using the Montroll–Potts model of nearest-neighbor central and noncentral forces are obtained.
The coupled equations which result from Mills's model of a surface spin-flop (SSF) transition in an antiferromagnet in a uniform external magnetic field are solved exactly on a computer. The results are compared with Keffer's approximate analytical result. Also, an example of an SSF state is presented for the case when the magnetic field is confined to several layers of the crystal at the surface.
Views Icon Views Article contents Figures & tables Video Audio Supplementary Data Peer Review Share Icon Share Twitter Facebook Reddit LinkedIn Tools Icon Tools Reprints and Permissions Cite Icon Cite Search Site Citation Paul Mazur, Robert H. Barron; On a Variation of a Derivation of the Schrödinger Equation. Am. J. Phys. 1 July 1974; 42 (7): 600–602. https://doi.org/10.1119/1.1987783 Download citation file: Ris (Zotero) Reference Manager EasyBib Bookends Mendeley Papers EndNote RefWorks BibTex toolbar search Search Dropdown Menu toolbar search search input Search input auto suggest filter your search All ContentAmerican Association of Physics TeachersAmerican Journal of Physics Search Advanced Search |Citation Search