Abstract
Abstract The dimensional analyses of the position and momentum variances based quantum mechanical Heisenberg uncertainty measure, along with several entropic information measures are carried out for the superposition of the power potentials of the form V ( r ) = Z r n + ∑ i Z i r n i where Z , Z i , n , n i are parameters yielding bound states for a particle of mass M . The uncertainty product and all other net information measures for given values of the parameters Z , Z i , are shown to depend only on M and the ratios Z i / Z ( n i + 2 ) / ( n + 2 ) . Under the imposition of a spherical impenetrable boundary of radius R over the polynomial potential, an additional parametric dependence on R Z 1 / ( n + 2 ) is derived. A representative set of numerical results are presented which support the validity of such a general scaling property.
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.
