Using a computer algebra system to simplify expressions for Titchmarsh-Weyl m-functions associated with the Hydrogen Atom on the half line
نویسندگان
چکیده
In this paper we give simplified formulas for certain polynomials which arise in some new Titchmarsh-Weyl m-functions for the radial part of the separated Hydrogen atom on the half line (0, ∞) and two independent programs for generating them using the symbolic manipulator Mathematica.
منابع مشابه
On Weyl–titchmarsh Theory for Singular Finite Difference Hamiltonian Systems
We develop the basic theory of matrix-valued Weyl–Titchmarsh M-functions and the associated Green’s matrices for whole-line and half-line self-adjoint Hamiltonian finite difference systems with separated boundary conditions.
متن کاملWeyl–titchmarsh Theory for Cmv Operators Associated with Orthogonal Polynomials on the Unit Circle Fritz Gesztesy and Maxim Zinchenko
We provide a detailed treatment of Weyl–Titchmarsh theory for half-lattice and full-lattice CMV operators and discuss their systems of orthonormal Laurent polynomials on the unit circle, spectral functions, variants of Weyl–Titchmarsh functions, and Green’s functions. In particular, we discuss the corresponding spectral representations of half-lattice and full-lattice CMV operators.
متن کاملWeyl-Titchmarsh theory for CMV operators associated with orthogonal polynomials on the unit circle
We provide a detailed treatment of Weyl–Titchmarsh theory for half-lattice and full-lattice CMV operators and discuss their systems of orthonormal Laurent polynomials on the unit circle, spectral functions, variants of Weyl–Titchmarsh functions, and Green’s functions. In particular, we discuss the corresponding spectral representations of half-lattice and full-lattice CMV operators.
متن کاملOn Spectral Theory for Schrödinger Operators with Strongly Singular Potentials Fritz Gesztesy and Maxim Zinchenko
We examine two kinds of spectral theoretic situations: First, we recall the case of self-adjoint half-line Schrödinger operators on [a,∞), a ∈ R, with a regular finite end point a and the case of Schrödinger operators on the real line with locally integrable potentials, which naturally lead to Herglotz functions and 2 × 2 matrix-valued Herglotz functions representing the associated Weyl–Titchma...
متن کاملOn Spectral Theory for Schrödinger Operators with Strongly Singular Potentials
We examine two kinds of spectral theoretic situations: First, we recall the case of self-adjoint half-line Schrödinger operators on [a,∞), a ∈ R, with a regular finite end point a and the case of Schrödinger operators on the real line with locally integrable potentials, which naturally lead to Herglotz functions and 2× 2 matrix-valued Herglotz functions representing the associated Weyl–Titchmar...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- CoRR
دوره abs/0812.4974 شماره
صفحات -
تاریخ انتشار 2008