Abstract
The model of a one-dimensional liquid or amorphous material is represented by a linear chain of symmetric, localized, but otherwise arbitrary, potential cells, each of which consists of a central core, the same in all cells, surrounded by two regions of zero potential of varying extent. The physical restriction that cell sizes are bounded is applied. The present article gives the proof for the existence of gaps in such a model. It is also hinted that the proof can be generalized to the real situation where the central core potentials may be slightly different from one another.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
