4 papers
Cubic Oscillator: Geometric Approach and Zeros of Eigenfunctions
Faouzi Thabet, Gliia Braek, Marwa Mansouri +1
In this paper, we give a geometric approach to the cubic oscillator with three distinct turning points based on the \emph{\ correspondence }introduced in \ci…
Topology of Stokes Complex Related to a Polynomial Quadratic Differential : Phase Transitions and Number of Short Trajectories
Gliia Braek, Mondher Chouikhi, Faouzi Thabet
In this paper, we give a full description of the critical graph of the quadratic differential defined on the Riemann sphere $\widehat{% %TCIMACRO{\U{2102} }% %BeginE…
Trajectories of a quadratic differential related to a quasi-exactly solvable sextic oscillator
Mohamed Jalel Atia, Wafaa Karrou, Mondher Chouikhi +1
In this paper, we discuss the existence of solution (as Cauchy transform of a signed measure) of a particular algebraic quadratic equation of the form $\mathcal{C}^{2}\left( z\righ…
Critical graph of a polynomial quadratic differential related to a Schrödinger equation with quartic potential
Mondher Chouikhi, Faouzi Thabet
In this paper, we study the weak asymptotic in the plane of some wave functions resulting from the WKB techniques applied to a Shrodinger equation with quartic oscillator and havin…