Abstract
By Abdelmadjid Maireche. A theoretical analytical investigation for the exact solvability of non-relativistic quantum spectrum systems, at low energy for modified two-dimensional purely sextic double-well potential (2D-modified sextic DWAO potential) is discussed.
Highlights
The double-well anharmonic oscillator (DWAO) holds a great importance because of its relation to many problems of quantum chemistry and field theory [1,2,3,4]
Over the past few years, many efforts have been produced to study quantum systems on based to the Dirac equation, Klein-Gordon equation and Schrödinger equation, which is undoubtedly the most widely studied equation of modern physics, for spherical and non spherical potentials that in ordinary space of quantum mechanics and its extension, which known by extended quantum mechanics
Are star product and antisymmetric real tensors induced by position-position and momentummomentum noncommutativity, respectively, it’s important to notice that, the above two fundamental commutation relations are satisfied in particulars’ cases from the general star product f x, p * g x, p between two arbitrary functions f x, p and g x, p in the first order of two parameters and as follow [18,19,20,21,22,23,24,25,26,27,28,29,30,31,32]:
Summary
The double-well anharmonic oscillator (DWAO) holds a great importance because of its relation to many problems of quantum chemistry and field theory [1,2,3,4]. Dai-Nam Le et al was studied the Schrödinger equation for the purely sextic double-well potential problem in twodimensional space by wave function ansatz method for analytical approach and by Feranchuk-Komarov operator method for numerical approach [1]. We shall study the 2Dmodified sextic DWAO potential in (NC: 2D-RSP), to perform this task the physical form of NR-SE, we apply the following steps [22,23,24,25,26,27,28,29,30,31,32]:
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