Atomic and Nuclear Physics

Biography

Biography: Biswanath Rath

Abstract

Generation of quantum systems has been a subject of interest since the early development of quantum mechanics, in view of understanding physics behind micro world that may deal atomic system, nuclear system, quantum fi eld theory etc. In fact it gained momentum aft er the induction of supersymmetry in Hermiticity or PT - symmetry (space-time symmetry). In both the cases one can have only isolated systems satisfying the conditions
E = EB + EF (1)
EB → En(+) ; EF → En(-) (2)
En(+) =En+1(-) ; En(-) = 0 (3)
However, generation of two diff erent bosonic and fermionic systems can hardly be achieved in simple supersymmetry. On the other hand if momentum operator is suitably incorporated in supersymmetry, one can generate twins satisfying the relation.
E =EB(1.2) + EF(1.2) (4)
EB(1) EF(2) (5)
EB(2) EF(1) (6)
In fact, a close view reveals that corresponding complex PT -symmetry, T-symmetry and mixed symmetry operators are actually Real-Non-Hermitian- operators with well-defi ned spectra. The main question now come to our mind as to : if Real - Non - Hermitian operators exist in diff erent symmetry, why they will not exist in ordinary complex- bounded operators involving PT - symmetry. Recent investigation reveals that simple complex PT - symmetry systems involving the term (ix)K=odd have equivalent Real – Non - Hermitian operators. Hence our new generation will fi nd / visualize / generate only Real – Operators that may be Hermitian or non-Hermitian. Hope this platform will motivate to generate new Real-Non-Hermitian - atomic and
nuclear systems.