output
19982026
most citedAncient human genomes suggest three ancestral populations for present-day Europeans

1.5k citations

Showing 2005Show all

8 papers · 1 filter

quant-ph2005

Dirac sextic oscillator in the constant magnetic field

Ramazan Koc, Mehmet Koca

We introduce a Dirac equation which reproduces the usual radial sextic oscillator potential in the non-relativistic limit. We determine its energy spectrum in the presence of the m…

physics.chem-ph2005★ 2 cited

A New Approach to Analyse Jahn-Teller System for

Ramazan Koc, Hayriye Tutunculer, Mehmet Koca

It is now well known that electron (hole)-vibron coupling and hence Jahn-Teller (JT) effect is important understanding the properties of and related molecules. In this pap…

quant-ph2005★ 78 cited

Scattering in abrupt heterostructures using a position dependent mass Hamiltonian

Ramazan Koc, Mehmet Koca, Gultekin Sahinoglu

Transmission probabilities of the scattering problem with a position dependent mass are studied. After sketching the basis of the theory, within the context of the Schrödinger equa…

hep-th2005★ 23 cited

Quaternionic Root Systems and Subgroups of the

Mehmet Koca, Ramazan Koc, Muataz Al-Barwani

Cayley-Dickson doubling procedure is used to construct the root systems of some celebrated Lie algebras in terms of the integer elements of the division algebras of real numbers, c…

hep-th2005★ 5 cited

The Chevalley group G_{2}(2) of order 12096 and the octonionic root system of E_{7}

Mehmet Koca, Ramazan Koc, Nazife O. Koca

The octonionic root system of the exceptional Lie algebra E_8 has been constructed from the quaternionic roots of F_4 using the Cayley-Dickson doubling procedure where the roots of…

quant-ph2005★ 10 cited

Algebraic treatments of the problems of the spin-1/2 particles in the one and two-dimensional geometry: a systematic study

Ramazan Koc, Hayriye Tutunculer, Mehmet Koca +1

We consider solutions of the 2x2 matrix Hamiltonians of the physical systems within the context of the su(2) and su(1,1) Lie algebra. Our technique is relatively simple when compar…