Integral Equations of Quantized Field Theory

The atom-field interaction is formulated within the fully quantized-field theory, starting from a detailed analysis of the transformation from the fundamental minimal coupling interaction Hamiltonian to the electric dipole Hamiltonian used extensively in quantum optics. Spontaneous emission, radiative level shifts, and the natural radiative lineshape are treated in both the Schrodinger and Heisenberg pictures, with emphasis on the roles of vacuum field fluctuations, radiation reaction, and the fluctuation-dissipation relation between them. The shortcomings of semiclassical radiation theories are discussed.

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The Delta Wing in a Non-Uniform Supersonic Stream

Aeronautical Quarterly ◽

10.1017/s0001925900001086 ◽

1954 ◽

Vol 5 (1) ◽

pp. 55-72 ◽

Cited By ~ 3

Author(s):

G. N. Lance

Keyword(s):

Field Theory ◽

Power Series ◽

Integral Equations ◽

Delta Wing ◽

Supersonic Stream ◽

Delta Wings ◽

Uniform Stream

SummaryA generalised conical field theory is developed and is applied to delta wings in a non-uniform stream. It is shown that a non-uniform stream may be characterised by the downwash at all points in space. The lift of a delta wing is found when the downwash in the wing plane is given as a power series in the co-ordinates in the wing plane. The basis of the conical field theory is described in some detail but the results only of the calculation of the lift distribution for various down washes are given. The solutions of certain integral equations, required in the calculations, are given in the Appendix.

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CRITICAL BEHAVIOR FROM SCHRÖDINGER REPRESENTATION

Modern Physics Letters A ◽

10.1142/s0217732392001695 ◽

1992 ◽

Vol 07 (22) ◽

pp. 1975-1981 ◽

Cited By ~ 2

Author(s):

P. SURANYI

Keyword(s):

Field Theory ◽

Ising Model ◽

Integral Equations ◽

Critical Behavior ◽

Transcendental Equation ◽

Schrödinger Representation ◽

Correlation Exponent ◽

Truncation Scheme ◽

Infinite Set ◽

Good Agreement

The Schrödinger equation for Φ4 field theory is reduced to an infinite set of integral equations. A systematic truncation scheme is proposed and it is solved in second order to obtain the approximate critical behavior of the renormalized mass. The correlation exponent is given as a solution of a transcendental equation. It is in good agreement with the Ising model in all physical dimensions.

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N-quantum approach to the BCS theory of superconductivity

Canadian Journal of Physics ◽

10.1139/p94-073 ◽

1994 ◽

Vol 72 (9-10) ◽

pp. 574-577 ◽

Cited By ~ 1

Author(s):

O. W. Greenberg

Keyword(s):

Field Theory ◽

Finite Temperature ◽

Bcs Theory ◽

Zero Temperature ◽

General Applicability ◽

Finite Temperature Field Theory ◽

Gap Equation ◽

Quantum Approach ◽

Quantized Field ◽

Theory Of Superconductivity

A method of general applicability to the solution of second-quantized field theories at finite temperature is illustrated using the BCS (Bardeen–Cooper–Schrieffer) model of superconductivity. Finite-temperature field theory is treated using the thermo field-theory formalism of Umezawa and collaborators. The solution of the field theory uses an expansion in thermal modes analogous to the Haag expansion in asymptotic fields used in the N-quantum approximation at zero temperature. The lowest approximation gives the usual gap equation.

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The Non-Metric Solution to Graviton as Goldstone Boson

10.20944/preprints202010.0315.v1 ◽

2020 ◽

Author(s):

Aayush Verma

Keyword(s):

Field Theory ◽

Goldstone Boson ◽

Vacuum State ◽

Metric Tensor ◽

Goldstone Bosons ◽

Recent Advancement ◽

Quantized Field ◽

The 1960S ◽

Extended Theories ◽

Theories Of Gravitation

The study of Graviton as Goldstone bosons appeared in the 1960s, after Bjorken interacting idea of Electrodynamics. However, no recent advancement has been done in the field, because of very constraints as well as low-attractiveness of the theory. We do the non-metric tensor (covariant derivative of the metric tensor) case of Gravitation and eventually get SO(1,3) broken in the vacuum state of quantized field theory, then find the Graviton as Goldstone Boson. We, in final, see that Gravitons can have appearances in many modified (and extended) theories of Gravitation.

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