Damanhour University

most citedConformable Fractional Bohr Hamiltonian with Bonatsos and Double-Well Sextic Potentials

12 citations

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3 papers

nucl-th2023★ 12 cited

Conformable Fractional Bohr Hamiltonian with Bonatsos and Double-Well Sextic Potentials

M. M. Hammad

Using the conformable fractional calculus, a new formulation of the Bohr Hamiltonian is introduced. The conformable fractional energy spectra of free- and two- parameters anharmoni…

nucl-th2023★ 1 cited

Algebraic solutions for $o (12) \leftrightarrow u (2) \otimes u (10)$ quantum phase transitions in the proton-neutron interacting boson model

M. M. Hammad, Andriana Martinou, Dennis Bonatsos

A simple systematic procedure to construct the proton-neutron unitary, $u_{sd}^{π ν} (12)$ , orthogonal, $o_{sd}^{π ν} (12)$ , and quasi-spin $\text{su}_{\text{sd}}^{πν…

nucl-th2023★ 8 cited

Triaxial nuclei and analytical solutions of the conformable fractional Bohr Hamiltonian with some exponential-type potentials

M. M. Hammad, M. M. Yahia, Dennis Bonatsos

New approximate analytical solutions have been obtained for the conformable fractional collective Bohr Hamiltonian suitable for triaxial nuclei, with the harmonic oscillator in γ-p…

Conformable Fractional Bohr Hamiltonian with Bonatsos and Double-Well Sextic Potentials

Algebraic solutions for o(12)↔u(2)⊗u(10) quantum phase transitions in the proton-neutron interacting boson model

Triaxial nuclei and analytical solutions of the conformable fractional Bohr Hamiltonian with some exponential-type potentials

Algebraic solutions for $o (12) \leftrightarrow u (2) \otimes u (10)$ quantum phase transitions in the proton-neutron interacting boson model