Field theoretic operators for the charge, rho, and current J, densities of the electron gas were obtained using the Darwin Hamiltonian in 'second quantized' form.Temperature dependent Green's functions were formed from certain averaged combinations of the field creation and annihilation operators.Equations of motion were obtained for these Green's functions, and rho and j were written in terms of the Green's functions. In order that rho and j might be expressed explicitly in terms of the perturbing field, formal functional series expansions were obtained for rho and j in terms of the potentials.Connecting relations obtained from the requirements of gauge invariance and charge conservation were used to show the general result that rho and j reduce to functionals of the electric field alone.(Author Modified Abstract)
Document Citations
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Chicago
National Institute of Standards and Technology (NIST), Commerce Department. "Quantum Field Theoretic Techniques and the Electromagnetic Properties of a Uniformly Magnetized Electron Gas". Government. Commerce Department, January 1, 1964. https://www.govinfo.gov/app/details/GOVPUB-C13-e2484cdf9078960096a1c4647dde6403
APA
National Institute of Standards and Technology (NIST), Commerce Department. (1964, January 1). Quantum Field Theoretic Techniques and the Electromagnetic Properties of a Uniformly Magnetized Electron Gas. [Government]. Commerce Department. https://www.govinfo.gov/app/details/GOVPUB-C13-e2484cdf9078960096a1c4647dde6403
MLA
National Institute of Standards and Technology (NIST), Commerce Department. Quantum Field Theoretic Techniques and the Electromagnetic Properties of a Uniformly Magnetized Electron Gas. Commerce Department, (1 Jan 1964), https://www.govinfo.gov/app/details/GOVPUB-C13-e2484cdf9078960096a1c4647dde6403
Bluebook
National Institute of Standards and Technology (NIST), Commerce Department, Quantum Field Theoretic Techniques and the Electromagnetic Properties of a Uniformly Magnetized Electron Gas, GovInfo, (January 1, 1964), https://www.govinfo.gov/app/details/GOVPUB-C13-e2484cdf9078960096a1c4647dde6403
