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Slobodan Prvanovic

Publications and source records attributed to Slobodan Prvanovic.

9 recordsLinked to original sources
arXiv2022

Complexified spinor fields in operator form

The formalism of quantum field theory in operator form, based on the anti self-adjoint operators of the imaginary coordinate and momentum and the self-adjoint operators of the real coordinate, momentum, energy and time, is used in considerations of the spinor fields and related topics. The unitary representation of the Lorentz boosts in the spin-orbital space is given. The operators that mirror-reflect the spin are introduced and then used in discussion of the spin parity. The conclusion that the spin is odd is used in the analyze of the parity violation in the cobalt-60 beta decay and it is found that the parity is not broken. The explanation why there are only right-handed antineutrinos and left-handed neutrinos is offered on the basis of appropriate treatment of the influence of spin on momentum. The inversion of time is treated within the framework of the operators of time and energy and this symmetry is represented in a way that respects the Schr\"odinger equation and this is done by the Wick rotations of involved operators and vectors of the complexified formalism.

physics.gen-ph↗
arXiv2022

Complexified quantum field theory in operator form

The anti self-adjoint operators of imaginary coordinate and momentum, together with the self-adjoint operators of real coordinate, momentum, energy and time are used in construction of the quantum field theory in operator form. This formalism, being free of many dubious mathematical situations characteristic to the standard treatment of quantum fields, is applied in formulation of the new gauge condition for electromagnetic field that describes the absence of the scalar and longitudinal photons. Proposed formalism offers adequate theoretical framework for proper description of the multicomponent fields, including quantum gravity.

quant-ph↗
arXiv2017

Radioactive Decay Seen as Temporal Canonical Ensemble

The operator of time formalism is applied to radioactive decay. It appears that the proposed approach offers better insight and understanding of the phenomena in a way that the decay exponential-law becomes the Boltzmann distribution in Gibbs treatment of canonical ensemble. The radioactive decay is seen as temporal canonical ensemble where the radioactive constant appears as the analog of the absolute temperature multiplied by Boltzmann constant. The stochastic character of decay process becomes plausible in the proposed approach and the explanation why decay is characterized by constant, and not by some parameter, is offered.

quant-ph↗
arXiv2017

Operator of Time and Generalized Schroedinger Equation

Within the framework of self-adjoint operator of time in non-relativistic quantum mechanics the equation describing change of the state of quantum system with respect to energy is introduced. The operator of time appears to be the generator of the change of energy while the operator of energy, that is conjugate to the operator of time, generates time evolution in this proposal. Two examples, one with discrete time and the other with continuous one, are given and the generalization of Schroedinger equation is proposed.

quant-ph↗
arXiv2010

Quantum Mechanical Operator of Time

The self adjoint operator of time in non-relativistic quantum mechanics is found within the approach where the ordinary Hamiltonian is not taken to be conjugate to time. The operator version of the reexpressed Liouville equation with the total Hamiltonian, consisting of the part that is a conventional function of coordinate and momentum and the part that is conjugate to time, is considered. The von Neumann equation with quantized time is found and discussed from the point of view of exact time measurement.

quant-ph↗
arXiv2003

The non-negativity of probabilities and the collapse of state

The dynamical equation of hybrid systems, being the combination of Schrödinger and Liouville equations, produces noncausal evolution when the initial state of interacting quantum and classical mechanical systems is as it is demanded in discussions regarding the problem of measurement. It is found that state of quantum mechanical system instantaneously collapses due to the non-negativity of probabilities.

quant-ph↗
arXiv2003

Weyl ordering rule and new Lie bracket of quantum mechanics

The product of quantum mechanics is defined as the ordinary multiplication followed by the application of superoperator that orders involved operators. The operator version of Poisson bracket is defined being the Lie bracket which substitutes commutator in the von Neumann equation. These result in obstruction free quantization, with the ordering rule which coincides with Weyl ordering rule.

quant-ph↗
arXiv2003

Mona Lisa - ineffable smile of quantum mechanics

The portrait of Mona Lisa is scrutinized with reference to quantum mechanics. The elements of different expressions are firstly recognized on her face. The contradictory details are then classified in two pictures that, undoubtedly representing distinct moods, confirm dichotomous character of the original. Consecutive discussion has lead to conclusion that the mysterious state Mona Lisa is in actually is coherent mixture - superposition, of cheerfulness and sadness.

physics.pop-ph↗