![]() ![]() Moreover, it follows from ( 8), ( 10), and ( 12) that inequality ( 6) holds for all x ∈ ℝ \. Then ϕ is a piecewise twice continuously differentiable solution to the one-dimensional time-independent Schrödinger equation ( 3). Here, we note that this result also holds for the class of twice continuously differentiable functions y : I → ℂ. Indeed, we investigate a type of Hyers-Ulam stability of the one-dimensional time-independent Schrödinger equation ( 3) for the barrier potential with height V 0 and width 2 c, where 0 0. In this paper, we consider the one-dimensional time-independent Schrödinger equation ( 3), where ψ : ℝ → ℂ is the wave function, V is a rectangular potential barrier, ℏ is the reduced Planck constant, m is the mass of the particle, and E is the energy of the particle. ![]() It is also possible to apply the one-dimensional Schrödinger equation to analyze the state associated with particles reflected by rectangular potential barriers, but this has some distance from the subject of this paper. The Schrödinger equation based on postulates of quantum mechanics is a time-dependent equation which yields a time-independent equation that is useful for calculating energy eigenvalues. ![]() The ideas of papers have a great influence on the present paper. Was investigated when the relevant system has a potential well of finite depth. ![]()
0 Comments
Leave a Reply. |
Details
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |