Relativistic n-body wave equations in scalar quantum field theory

Emami-Razavi, Mohsen

doi:10.1016/j.physletb.2006.08.004

Cited by 12 publications

(7 citation statements)

References 14 publications

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“…In other words, the present relativistic equations are Salpeterlike and not Klein-Gordon like. The relativistic results lie above non-relativistic solutions, as we can see, for example, in [5] or [12,13]. This fact, that the relativistic solutions are above the non-relativistic results, is the characteristic of formalisms, like the present model, which has no negative energy answers.…”

Section: Discussionsupporting

confidence: 58%

“…The case of six-body system, for particles only and no virtual annihilation interaction [5], was done before and it has been included in the Tables 3 and 4 as well as the calculation of the case of combined three particles and three antiparticles with virtual annihilations and with retardation effects [9]. The corresponding graphs are also put in Fig.…”

Section: ð3:7þmentioning

confidence: 99%

“…In previous works by EmamiRazavi [5,6], it has been demonstrated that, by employing a reformulated model in QFT proposed by Darewych [7,8], formulas concerning relativistic n-body wave equations for scalar particles and/or antiparticles can be obtained (see also [9]). It has also been proven that using Darewych's formalism [7,8] relativistic n-fermion wave equations (particles and antiparticles; spin-1/2) in quantum electrodynamics can be obtained [10,11].…”

Section: Introductionmentioning

confidence: 99%

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Study of virtual annihilation and retardation effects in relativistic two-, four-, and six-body wave equations in scalar QFT

Emami-Razavi

Asgary

2017

J Theor Appl Phys

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The variational method within the Hamiltonian formalism of QFT using Darewych reformulated model has been used for scalar particles and antiparticles interacting through a scalar mediating field. We have investigated the relativistic effects such as virtual annihilation interactions and retardation effects for relativistic two-, four-, and six-body wave equations in scalar QFT. Approximate ground-state solutions have been studied for different strengths of coupling, for both massive and massless mediating fields where the virtual annihilation terms or retardation effects in the wave equations have been included or eliminated.

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Section: Discussionsupporting

confidence: 58%

Section: ð3:7þmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Study of virtual annihilation and retardation effects in relativistic two-, four-, and six-body wave equations in scalar QFT

Emami-Razavi

Asgary

2017

J Theor Appl Phys

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“…An outstanding problem in quantum field theory (QFT) is the description of relativistic n-body wave equations of combined particles and antiparticles with different masses, including the interactions, starting from the underlying Lagrangian. In a paper by Emami-Razavi [1], it has been shown that, using a reformulated Hamiltonian formalism [2], the relativistic n-body wave equations for systems of spin-0 bosons 'particles only', all with the same mass, can be obtained. Also in a recent paper by Emami-Razavi [3], relativistic wave equations for n-body combined scalar particles and antiparticles with the same mass have been derived (n is the total number of particles and antiparticles).…”

Section: Introductionmentioning

confidence: 99%

Relativistic wave equations ofn-body systems of particles and antiparticles of various masses in scalar quantum field theory

Emami-Razavi

Bergeron

Darewych

2011

J. Phys. G: Nucl. Part. Phys.

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A generalization of the scalar Yukawa model to include many 'flavors' of scalar particles and antiparticles is considered. The variational method within the Hamiltonian formalism of quantum field theory is used to derive relativistic n-body wave equations for stationary systems consisting of scalar particles and antiparticles where all the particles and antiparticles have different masses. Using a simple ansatz we derive the relativistic n-body wave equations for any n integer number. The equations are shown to have the Schrödinger non-relativistic limit, with Coulombic interparticle potentials in the case of a massless mediating field and Yukawa interparticle potentials in the case of a massive mediating field. Some examples of approximate ground state solutions of the n-body relativistic equations are obtained for various strengths of coupling, for both massive and massless mediating fields.

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“…Also, at densities of 10 21 cm −3 , if one could make a Bose-Einstein condensate of positronium molecules, then there would be the possibility of creating a laser using the gamma rays from the annihilation process. In a paper by Emami-Razavi [10], it has been shown that, using a reformulated Hamiltonian method proposed by Darewych [11], a formula for the relativistic n-body wave equations for identical mass m scalar 'particles only' (bosons, spin-0) can be obtained. In that paper [10] some approximate ground-state solutions for a six-body, 'particles only' system (i.e.…”

Section: Introductionmentioning

confidence: 99%

Relativistic wave equations of combined three particles and three antiparticles in scalar quantum field theory

Emami-Razavi¹,

Bergeron²,

Darewych³

2010

J. Phys. G: Nucl. Part. Phys.

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The recent observation of a positronium molecule (e−e+e−e+) by Cassidy and Mills (D B Cassidy and A P Mills 2007 Nature (London) 449 195) raises interest in other (fermionic) exotic systems. Similarly, the question arises whether larger bosonic systems can be formed. The variational method in a reformulated Hamiltonian formalism of quantum field theory is used to derive relativistic wave equations for a system consisting of three scalar particles and three scalar antiparticles (six-body problem) interacting via a massive or massless mediating scalar field (the scalar Yukawa model). Simple Fock-space variational trial states are used to derive relativistic six-body wave equations. The equations are shown to have the Schrödinger non-relativistic limits, with Coulombic interparticle potentials in the case of a massless mediating field and Yukawa interparticle potentials in the case of a massive mediating field. Approximate ground-state solutions of the six-body relativistic equations are obtained for various strengths of coupling, for both massive and massless mediating fields.

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Relativistic n-body wave equations in scalar quantum field theory

Cited by 12 publications

References 14 publications

Study of virtual annihilation and retardation effects in relativistic two-, four-, and six-body wave equations in scalar QFT

Study of virtual annihilation and retardation effects in relativistic two-, four-, and six-body wave equations in scalar QFT

Relativistic wave equations ofn-body systems of particles and antiparticles of various masses in scalar quantum field theory

Relativistic wave equations of combined three particles and three antiparticles in scalar quantum field theory

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