Covariant Quantum Green's Function for an Accelerated Particle

Covariant relativistic quantum theory is used to study the covariant Green's function, which can be used to determine the proper time evolved wave functions that are solutions to the covariant Schr\"odinger type equation for a massive spin zero particle. The concept of covariant action is used to obtain the Green's function for an accelerated relativistic particle.Comment: Invited contribution: Lepton Photon Symposium 2001, Rome, 23-28 July. 5 pages ps, plain tex using mtexsis.tex(included

The quantum quasi-invariant of the time-dependent nonlinear oscillator and application to betatron dynamics

Both the classical and quantum approximate invariants are found for the nonlinar r time-dependent oscillator of sextupole transverse betatron dynamics. They are represented in terms of the elements of a Lie algebra associated with powers of phase space coordinates. The first order quantum correction to the classical quasi-invariant is found.Comment: 22 pages, Two postscript figure

Jets signal for Higgs particle detection at LHC

A method using jets is investigated for detecting the Higgs boson at LHC in the mass range about 114 \GeVc2, suggested by LEP experiments. Higgs bosons are produced in association with a $t \bar{t}$ pair, and both t and $\bar{t}$ decay semileptonically to reduce the QCD background. After appropriate cuts, the signal is compared with the main background, $t \bar{t} + 2$ jets. This estimate, using a reasonable approximation for the dominant background $t\bar {t}gg$, suggests a $5.1\sigma$ effect. This method is seen to be complimentary to the two gamma signal. The $t\bar{t}Z$ channel, with Z decaying to $l^+ l^-$, may be used to reduce theoretical uncertainties in determining the $t \bar{t}H$ signal.Comment: Lepton Photon Symposium 2001, Rome, 5 pages, plain tex, 1 ps figur

The principle of symmetric bracket invariance as the origin of first and second quantization

The principle of invariance of the c-number symmetric bracket is used to derive both the quantum operator commutator relation $[\hat q, \hat p]=i\hbar$ and the time-dependent Schr\"odinger equation. A c-number dynamical equation is found which leads to the second quantized field theory of bosons and fermions.Comment: 14 pages. Contributed Paper: XIX International Symposium on Lepton and Photon Interactions at High Energies, Stanford University, August 9-14, 199

Finite Temperature Field Theory and Quantum Noise in Inductively Coupled LRC Circuits

Finite temperature (0 ≤ T < ∞) field (FTF) theory with an effective spectral Lagrangian density formulation is used to study quantum noise in an inductively coupled LRC circuits. Analytical solutions and numerical results for the finite second moments at temperature T which satisfy the uncertainty principle bound are given. From the numerical results, one can see the presence of a squeezed quantum state which depends upon the strength of the mutual inductance between the coupled circuits

Covariant relativistic quantum theory

Covariant classical particle dynamics is described, and the associated covariant relativistic particle quantum mechanics is derived. The invariant symmetric bracket is defined on the space of quantum amplitudes, and its relation to a generalized Hamiltonian dynamics and to a covariant Schr\"odinger type equation is shown. Examples for relativistic potential problems are solved. Mathematically and physically acceptable probability densities for the Klein-Gordon equation and for the Dirac equation are derived, and a new continuity equation for each case is given. The quantum distribution for mass is discussed, and unambiguous representations of four-velocity and four-acceleration operators are given.Comment: 19 page ps file. Tex file covqmp.tex uses mtexsis.tex macro(included

Finite Temperature Field Theory and Quantum Noise in an Electrical Network

Finite temperature field (FTF) theory is used to study quantum noise in an electrical network. Numerical solutions for the finite second moments which satisfy the uncertainty principle bound are given for a dissipative quantum oscillator

The Squeezed Quantum State at Finite Temperature

The methods of thermofield dynamics are used to study the properties of a squeezed quantum state which is in an environment maintained at finite temperature. A relationship is established between the squeezing parameter and temperature. In addition, the variances of certain quantum operators are obtained using a squeezed quantum state at finite temperature

Neutrino Mass Effects in Neutrino-Electron Electron Elastic Scattering

A covariant formulation is given for the mass dependent differential cross-sections for neutrino(antineutrino)-electron elastic scattering with massive neutrinos. It is explained how these cross-sections along with a formulation for neutrino oscillations may be used to describe the helicity transformation effect for neutrinos passing through the matter