The National Bureau of Standards' was established by an act of Congress March 3, 1901. The Bureau's overall goal is to strengthen and advance the Nation's science and technology and facilitate their effective application for public benefit. To this end, the Bureau conducts research and provides: (1) a basis for the Nation's physical measurement system, (2) scientific and technological services for industry and government, (3) a technical basis for equity in trade, and (4) technical services to promote public safety. The Bureau consists of the Institute for Basic Standards, the Institute for Materials Research, the Institute for Applied Technology, the Institute for Computer Sciences and Technology, and the Office for Information Programs. THE INSTITUTE FOR BASIC STANDARDS provides the central basis within the United States of a complete and consistent system of physical measurement; coordinates that system with measurement systems of other nations; and furnishes essential services leading to accurate and uniform physical measurements throughout the Nation's scientific community, industry, and commerce. The Institute consists of the Office of Measurement Services, the Office of Radiation Measurement and the following Center and divisions: Optical Physics Center Applied Mathematics - Electricity Mechanics Heat for Radiation Research: Nuclear Sciences; Applied Radiation - Cryogenics - Electromagnetics" Time and Frequency". THE INSTITUTE FOR MATERIALS RESEARCH conducts materials research leading to improved methods of measurement, standards, and data on the properties of well-characterized materials needed by industry, commerce, educational institutions, and Government; provides advisory and research services to other Government agencies; and develops, produces, and distributes standard reference materials. The Institute consists of the Office of Standard Reference Materials, the Office of Air and Water Measurement, and the following divisions: Analytical Chemistry Polymers Metallurgy Inorganic Materials Reactor Radiation Physical Chemistry. THE INSTITUTE FOR APPLIED TECHNOLOGY provides technical services to promote the use of available technology and to facilitate technological innovation in industry and Government; cooperates with public and private organizations leading to the development of technological standards (including mandatory safety standards), codes and methods of test; and provides technical advice and services to Government agencies upon request. The Institute consists of the following divisions and Centers: Electronic Technology Standards Application and Analysis Center for Consumer Product Technology: Product Systems Analysis; Product Engineering - Center for Building Technology: Structures, Materials, and Life Safety; Building Environment; Technical Evaluation and Application Center for Fire Research: Fire Science; Fire Safety Engineering. THE INSTITUTE FOR COMPUTER SCIENCES AND TECHNOLOGY conducts research and provides technical services designed to aid Government agencies in improving cost effectiveness in the conduct of their programs through the selection, acquisition, and effective utilization of automatic data processing equipment; and serves as the principal focus within the executive branch for the development of Federal standards for automatic data processing equipment, techniques, and computer languages. The Institute consists of the following divisions: THE OFFICE FOR INFORMATION PROGRAMS promotes optimum dissemination and accessibility of scientific information generated within NBS and other agencies of the Federal Government; promotes the development of the National Standard Reference Data System and a system of information analysis centers dealing with the broader aspects of the National Measurement System; provides appropriate services to ensure that the NBS staff has optimum accessibility to the scientific information of the world. The Office consists of the following organizational units: Office of Standard Reference Data - Office of Information Activities - Office of Technical Library Standards. 1 Headquarters and Laboratories at Gaithersburg, Maryland, unless otherwise noted, mailing address Washington, DC. 20234 Located at Boulder, Colorado 80302. U.S. DEPARTMENT OF COMMERCE, Elliot L. Richardson, Secretary Dr. Betsy Ancker-Johnson, Assistant Secretary for Science and Technology Issued August 1976 For sale by the Superintendent of Documents, U.S. Government Printing Office, Washington, D.C. 20402 TABLE I TABLE II Rotation and boost operators for fields of spin, 1, 3, and 2. Included are the List of Tables The matrix operators S., S., B, and I corresponding to fields of spin 1⁄2, 1, 2, page 70 72 TABLE III The matrix operators S., S', B', and I' corresponding to a field of spin 1 in 74 TABLE IV Plane wave, positive energy spinors ur) (p) for fields of spin, 1, 1, and 2. with a nonzero mass.. 75 TABLE V Plane wave, positive energy, charge conjugate spinors vr) (p) for fields of spin TABLE VI TABLE VII TABLE VIII TABLE IX Plane wave, positive energy spinors wr) (p) for fields of spin, 1, 3, and 2 with a nonzero mass. Plane wave, positive energy, charge conjugate spinors yr (p) for fields of spin 29 Completeness and orthogonality relations involving spinors of the spin field Completeness and orthogonality relations involving spinors of the spin 1 field 77 79 81 883 84 TABLE X Completeness and orthogonality relations involving spinors of the spin field with 85 a nonzero mass. TABLE XI Completeness and orthogonality relations involving spinors of the spin 2 field 86 TABLE XII Plane wave positive energy spinors z (p) for the gauge fields corresponding to 87 TABLE XIII Plane wave positive energy spinors u (p) and wr) (p) for zero-mass fields of spin 88 TABLE XIV Plane wave positive energy spinors for the zero-mass spin parity nonconserving 91 TABLE XV Plane wave positive energy spinors ur) (p) for the zero-mass spin 1 field in the TABLE XVI Some relationships between spinors in the indefinite metric. |