Results 61 to 70 of about 115,178 (203)

Direct observation of zitterbewegung in a Bose–Einstein condensate

New Journal of Physics, 2013
Zitterbewegung, a force-free trembling motion first predicted for relativistic fermions like electrons, was an unexpected consequence of the Dirac equation's unification of quantum mechanics and special relativity.
L J LeBlanc, M C Beeler, K Jiménez-García, A R Perry, S Sugawa, R A Williams, I B Spielman   +6 more
doaj   +1 more source

Big picture of relativistic molecular quantum mechanics

, 2016
Any quantum mechanical calculation on electronic structure ought to choose first an appropriate Hamiltonian H and then an Ansatz for parameterizing the wave function Ψ, from which the desired energy/property E(λ) can finally be calculated. Therefore, the
Wenjian Liu
semanticscholar   +1 more source

Derivation of Dirac equation from the stochastic optimal control principles of quantum mechanics

Scientific Reports
In this paper, we present a stochastic approach to relativistic quantum mechanics. We formulate the three fundamental principles of this theory and derive the Dirac equations based on them.
Vasil Yordanov
doaj   +1 more source

Unitarity constrains the quantum information metrics for particle interactions

Nuclear Physics B
Unitarity provides mathematical and physical constraints on quantum information systems. e.g., in entanglement swapping, unitarity requires the same von Neumann entanglement entropy generation for either a particle interaction or an act of measurement ...
Shanmuka Shivashankara, Hobbes Sprague
doaj   +1 more source

Link between the relativistic canonical quantum mechanics of arbitrary spin and the corresponding field theory

, 2016
The new relativistic equations of motion for the particles with arbitrary spin and nonzero mass have been introduced. The axiomatic level description of the relativistic canonical quantum mechanics of the arbitrary mass and spin has been given.
V. Simulik
semanticscholar   +1 more source

Significance of the spinorial basis in relativistic quantum mechanics [PDF]

, 1995
Valeri V. Dvoeglazov
openalex   +3 more sources

Relativistic scattering of fermions in quaternionic quantum mechanics

, 2017
In this article, we propose a quaternionic version of the Dirac equation in the presence of scalar and vector potentials. It has been shown that in complex limit of such an equation, the complex version of this equation can be covered.
H. Hassanabadi, H. Sobhani, A. Banerjee
semanticscholar   +1 more source

The Wigner formalism on black hole geometries

European Physical Journal C: Particles and Fields
This work explores the intersection of quantum mechanics and curved spacetime by employing the Wigner formalism to investigate quantum systems in the vicinity of black holes.
Jose A. R. Cembranos, David García García   +1 more
doaj   +1 more source

There is no vacuum zero-point energy in our universe for massive particles within the scope of relativistic quantum mechanics [PDF]

, 2022
Huai‐Yu Wang
openalex   +1 more source

Reformulation of Relativistic Quantum Mechanics Equations with Non-Commutative Sedeons

, 2013
We present sixteen-component values “sedeons”, generating associative non-commutative space-time algebra. The generalized relativistic wave equations based on sedeonic wave function and space-time operators are proposed.
V. Mironov, S. Mironov
semanticscholar   +1 more source