Preface of the “Second ICCMSE Symposium on Mathematical Fluctuation Theoretical Issues and Kronecker Power Series in Quantum Dynamical Problems”
No abstract prepared.
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗
Engineering topics
Demiralp, Metin
Publications and source records attributed to Demiralp, Metin.
An algebraic function operator expectation value based eigenstate determinations for quantum systems with one degree of freedom
This proceedings paper aims to show the efficiency of an expectation value identity for a given algebraic function operator which is assumed to be depending pn only position operator. We show that this expectation value formula becomes enabled to determine the eigenstates of the quantum system Hamiltonian as long as it is autonomous and an appropriate basis set in position operator is used. This approach produces a denumerable infinite recursion which may be considered as revisited but at the same time generalized form of the recursions over the natural number powers of the position operator. The content of this short paper is devoted not only to the formulation of the new method but also to show that this novel approach is capable of catching the eigenvalues and eigenfunctions for Hydrogen-like systems, beyond that, it can give a hand to us to reveal the wavefunction structure. So it has also somehow a confirmative nature.
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗
Majorant recursions to determine eigenstate bounds of a symmetric exponential quantum anharmonic oscillator
The determination of the energy states is highly studied issue in the quantum mechanics. Based on expectation values dynamics, energy states can be observed. But conditions and calculations vary depending on the created system. In this work, a symmetric exponential anharmonic oscillator is considered and development of a recursive approximation method is studied to find its ground energy state. The use of majorant values facilitates the approximate calculation of expectation values.
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗