Author: H. E. MosesPublisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 60
Book Description
The Expansion of Physical Quantities in Terms of the Irreducible Representations of the Scale-Euclidean Group and Applications to the Construction of Scale-Invariant Correlation Functions
Author: H. E. MosesPublisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 60
Book Description
The Expansion of Physical Quantities in Terms of the Irreducible Representations of the Scale-euclidean Group and Applications to the Construction of Scale-invariant Correlation Functions
Author: H. E. MosesThe Expansion of Physical Quantities in Terms of the Irreducible Representations of the Scale-Euclidean Group and Applications to the Construction of Scale-Invariant Correlation Functions
Author: H. E. MosesPublisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 0
Book Description
The Expansion of Physical Quantities in Terms of the Irreducible Representations of the Scale-Euclidean Group and Applications to the Construction of Scale-invariant Correlation Functions
Author: H. E. MosesPublisher:
ISBN:
Category : Calculus of tensors
Languages : en
Pages : 94
Book Description
The irreducible representations of the scale-Euclidean group in three dimensions are introduced, and the general tensor is expanded in terms of these representations. The cases of zero-rank tensor (scalar), rank-1 tensor (vector), and rank-2 tensor, are studied in detail. The expansion is shown to be a generalization of the Helmholtz expansion of a vector into rotational and irrotational parts. As in Part 1 of the work (Concepts: One-Dimensional Problems), the correlations that are introduced are invariant under changes of frames of reference. Correlations are set up between tensors of different ranks and dimensions. A correlation that measures a degree of isotropy is defined.
The Expansion of Physical Quantities in Terms of the Irreducible Representations of the Scale-Euclidean Group and Applications to the Construction of Scale-invariant Correlation Functions
Author: H. E. MosesPublisher:
ISBN:
Category : Calculus of tensors
Languages : en
Pages : 0
Book Description
The irreducible representations of the scale-Euclidean group in three dimensions are introduced, and the general tensor is expanded in terms of these representations. The cases of zero-rank tensor (scalar), rank-1 tensor (vector), and rank-2 tensor, are studied in detail. The expansion is shown to be a generalization of the Helmholtz expansion of a vector into rotational and irrotational parts. As in Part 1 of the work (Concepts: One-Dimensional Problems), the correlations that are introduced are invariant under changes of frames of reference. Correlations are set up between tensors of different ranks and dimensions. A correlation that measures a degree of isotropy is defined.
Bibliography, with Abstracts, of AFCRL Publications from 1 January to 31 March 1972
Author: Air Force Cambridge Research Laboratories (U.S.)Publisher:
ISBN:
Category : Military research
Languages : en
Pages : 214
Book Description
This bibliography lists all AFCRL in-house reports, journal articles, and contractor reports issued from 1 January to 31 March 1972. Abstracts are included.
The Expansion of Electromagnetic Fields and Potentials in the Wave Functions of the Photon
Author: Harry E. MosesPublisher:
ISBN:
Category : Electromagnetic waves
Languages : en
Pages : 70
Book Description
The expansion of the unquantized electromagnetic fields and vector and scalar potentials in terms of the wave functions of the relativistic photon is reviewed and extended. Both linear and angular momentum bases are used for the photon wave functions. After second quantizing the electromagnetic field, the results are applied to the obtaining of the exact matrix elements (that is, with retardation taken into account exactly) and selection rules for the emission of photons by hydrogenic atoms. The dichotomy between the photon and wave picture of electromagnetic radiation is discussed and resolved. Furthermore, the most general vector and scaler potentials are obtained through the use of the eigenfunctions of the curl operator. (Author).
Report on Research at AFCRL.
Author: Air Force Cambridge Research Laboratories (U.S.)Publisher:
ISBN:
Category : Geophysics
Languages : en
Pages : 336
Book Description
Bibliography, with Abstracts, of AFCRL Publications from 1 July to 30 September 1971
Author: Air Force Cambridge Research Laboratories (U.S.)Publisher:
ISBN:
Category : Geophysics
Languages : en
Pages : 180
Book Description
This bibliography lists all AFCRL in-house reports, journal articles, and contractor reports issued from 1 July to 30 September 1971. Abstracts are included.
Bibliography, with Abstracts, of AFCRL Publications from 1 July to 30 September 1972
Author: Air Force Cambridge Research Laboratories (U.S.)Publisher:
ISBN:
Category : Geophysics
Languages : en
Pages : 212
Book Description
This bibliography lists all AFCRL in-house reports, journal articles, and contractor reports issued during the reporting period. The DD Form 1473 (Document Control Data - R & D) for each publication is included. In Part I, the 1473's for in-house reports are arranged numerically by the series in which they were issued: in Part II, the 1473's for journal articles are arranged alphabetically by author; in Part III, the 1473's for contractor reports are arranged alphabetically by corporate author. For cross-reference purposes, an index is included, listing the publications numerically by the AFCRL document number.