𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Newton – Wigner Coordinate for a Scalar Particle

✍ Scribed by M. I. Shirokov

Publisher
John Wiley and Sons
Year
1962
Tongue
English
Weight
216 KB
Volume
465
Category
Article
ISSN
0003-3804

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

In 1949 Newton and Wigner have obtained a non‐covariant coordinate q of the scalar particle on the basis of some postulates. It is shown that the ordinary coordinate x satisfies all physical and mathematical requirements underlying their postulates if the definition (3) (see below) of the probability density in the x‐space is used. Therefore from the point of view of these requirements the coordinate x is in no way worse than the coordinate q. Only the requirement that the position operator must be hermitian is crucial for rejecting the x‐coordinate.

📜 SIMILAR VOLUMES

Optimized Expansion for the Effective Ac
Optimized Expansion for the Effective Action and Multi-particle States in the Scalar Quantum Field Theory
✍ A. Okopinska 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 768 KB

The optimized expansion for the effective action in quantum field theory is discussed to second order. As an example we use the scalar quantum field theory with \(\lambda \phi^{4}\) interaction in one-dimensional space-time, which is equivalent to quantum mechanics of the anharmonic ascillator. The

A Note on the Unified Coordinate System
A Note on the Unified Coordinate System for Computing Shock Waves
✍ Zi-Niu Wu 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 87 KB

In 1999 [J. Comput. Phys. 153, 596], Hui and his co-workers proposed a unified coordinate system for computing compressible flows with discontinuous solutions. In their coordinate system, there is a free parameter h such that the traditional Eulerian approach and Lagrangian approach correspond to th