arXiv subjects

Mohammed A. Saleem

Publications and source records attributed to Mohammed A. Saleem.

5 recordsLinked to original sources

arXiv2021

Phase Distribution Properties of a Moving Five-Level (Inverted Y)-Type Atom in the Presence of a Non-linear Medium

In this paper, we study the nonlinear kerr effect in an inverted Y-type five-level atom moving through an open cavity. Under realistic parameters, we show that the kerr-medium affects the atomic population inversion and the phase probability distribution. A remarkable feature of the present model is that the kerr nonlinearity with a multi-level atom allows for a large detection of the system dynamics. These results offer new possibilities for controlling the system dynamics using the time-dependent interaction.

quant-ph↗

arXiv2013

Cyclic Automorphisms groups of genus 10 non-hyperelliptic curves

In this paper, we list all cyclic automorphisms subgroups $H$ for which there exists a smooth projective non-hyperelliptic sextic curve $C$ with $H\preceq Aut(C)$. Furthermore, we attach to each group a defining equation of a plane sextic curve having exactly this group as cyclic automorphisms subgroup. These equations cover up to isomorphism all plane non-singular sextic curves having some non-trivial automorphism.

math.AG↗

arXiv2013

Gap sequences of 1-Weierstrass points on non-hyperelliptic curves of genus 10

In this paper, we compute the 1-gap sequences of 1-Weierstrass points on non-hyperelliptic smooth projective curves of genus 10. Furthermore, the geometry of such points is classified as flexes, sextactic and tentactic points. Also, an upper bounds for their numbers are estimated.

math.AG↗

arXiv2013

Classification of 1-Weierstrass points on Kuribayashi quartics, II (with three parameters)

In this paper, we classify the 1-Weierstrass points of the Kuribayashi quartic curves with three parameters $a,\,b$ and $c$ defined by the equation \[ C_{a,b,c}:x^{4}+y^{4}+z^{4}+ax^{2}y^{2}+bx^{2}z^2+cy^{2}z^{2}=0, \] such that $(a^2-1)(b^2-1)(c^2-1)(a^2-4)(b^2-4)(c^2-4)(a^2+b^2+c^2-abc-4)\neq0.$ Furthermore, the geometry of these points is investigated.

math.AG↗

arXiv2013

Classification of 1-Weierstrass points on Kuribayashi quartics, I (with two parameters)

In this paper, we classify the 1-Weierstrass points of the Kuribayashi quartic curves with two parameters $a$ and $b$ defined by the equation \[C_{a,b}:x^{4}+y^{4}+z^{4}+ax^{2}y^{2}+b(x^{2}+y^{2})z^{2}=0,\] such that $(a^2-4)(b^2-4)(a^2-1)(b^{2}-a-2)\neq0.$ Furthermore, the geometry of these points is investigated.

math.AG↗