The Wt Transcendental Function and Quantum Mechanical Applications

نویسنده

  • V. E. Markushin
چکیده

We discuss the function Wt(x) defined via the implicit equation Wt(x)·tan [Wt(x)] = x, which appears in certain quantum mechanical and field theoretic applications. We investigate its analytic structure, develop series expansions for both small and large x, and provide various techniques for its numerical evaluation in the complex plane. PACS-numbers: 02.30Gp, 02.30.Mv, 03.65.Db

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Determination of a Matrix Function in the Form of f(A)=g(q(A)) Where g(x) Is a Transcendental Function and q(x) Is a Polynomial Function of Large Degree Using the Minimal Polynomial

Matrix functions are used in many areas of linear algebra and arise in numerical applications in science and engineering. In this paper, we introduce an effective approach for determining matrix function f(A)=g(q(A)) of a square matrix A, where q is a polynomial function from a degree of m and also function g can be a transcendental function. Computing a matrix function f(A) will be time- consu...

متن کامل

The Quantum Statistical Mechanical Theory of Transport Processes

A new derivation of the quantum Boltzmann transport equation for the Fermion system from the quantum time evolution equation for the wigner distribution function is presented. The method exhibits the origin of the time - irreversibility of the Boltzmann equation. In the present work, the spin dependent and indistinguishibility of particles are also considered.

متن کامل

Ti-6Al-4V Synthesized by Mechanical Alloy Method and Mechanical and Bioactivity Properties of Ti-6Al-4V/HA-Clay Nano composite

Nowadays, titanium-based alloys are among the most attractive metallic materials for biomedical applications (as implants) due to their non-biodegradability, low density, good mechanical properties as well as their good biocompatibility. Hydroxyapatite (Ca10 (PO4)6(OH)2, HA) has been widely used for biomedical applications due to its bioactive, biocompatible and osteoconductive properties. Firs...

متن کامل

When the classical & quantum mechanical considerations hint to a single point; a microscopic particle in a one dimensional box with two infinite walls and a linear potential inside it

In this paper we have solved analytically the Schrödinger equation for a microscopic particle in a one-dimensional box with two infinite walls, which the potential function inside it, has a linear form. Based on the solutions of this special quantum mechanical system, we have shown that as the quantum number approaches infinity the expectation values of microscopic particle position and square ...

متن کامل

Hydroxyapatite-Hardystonite nanocomposite scaffolds prepared by the replacing the polyurethane polymeric sponge technique for tissue engineering applications

Objective (s): Silicate bioceramics containing Zn and Ca like hardystonite (Hr) with chemical formula Ca2ZnSi2O7 has attracted the attention of researchers in biomedical field due to its remarkable biological and mechanical properties. The new generation of bioceramics can applied in bone tissue engineering to substitute with infected bone. However, these zirconium-silicate bioceramics have pro...

متن کامل

ذخیره 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 نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2001