Zobrazeno 1 - 10
of 1 157
pro vyhledávání: '"81Q05"'
For the first time the exact analytical expressions for the three-dimensional bound electron states in the Coulomb field of the chain consisting of positively charged ions, are obtained within the Dirac description, using the new spinor invariant fou
Externí odkaz:
http://arxiv.org/abs/2411.14212
Autor:
Rumyantseva, S. V., Shirokov, D. S.
It is easier to investigate phenomena in particle physics geometrically by exploring a real solution to the Dirac-Hestenes equation instead of a complex solution to the Dirac equation. The present research outlines the multidimensional Dirac-Hestenes
Externí odkaz:
http://arxiv.org/abs/2411.04214
This paper is devoted to a Feynman-Kac formula for general nonlinear time-dependent Schr\"odinger equations with applications in numerical approximations. Our formulation integrates both the Fisk-Stratonovich and It\^o integrals within the framework
Externí odkaz:
http://arxiv.org/abs/2409.16519
In this work, we advance the understanding of the fundamental interactions by using a generalized tanh shaped hyperbolic potential to investigate bound state solutions of the Dirac equation. Using the Nikiforov Uvarov method, we derive energy eigenva
Externí odkaz:
http://arxiv.org/abs/2409.15538
If the standard 1D quantum infinite potential well initially in its ground state suffers a sudden expansion, it turns out that in the evolution of the system they may appear plateaux of probability for some fractional times, as noticed by C. Aslangul
Externí odkaz:
http://arxiv.org/abs/2409.06058
Autor:
Palacios, José M., Pusateri, Fabio
We consider the problem of dynamical stability for the $n$-vortex of the Ginzburg-Landau model. Vortices are one of the main examples of topological solitons, and their dynamic stability is the basic assumption of the asymptotic ``particle plus field
Externí odkaz:
http://arxiv.org/abs/2409.04393
Autor:
Szmytkowski, Radosław
A Schr\"odinger particle on an $N$-dimensional ($N\geqslant2$) hypersphere of radius $R$ is considered. The particle is subjected to the action of a force characterized by the potential $V(\theta)=2m\omega_{1}^{2}R^{2}\tan^{2}(\theta/2)+2m\omega_{2}^
Externí odkaz:
http://arxiv.org/abs/2408.10860
Autor:
Brizhik, Larissa
Dynamics of the Davydov's soliton in an external oscillating in time magnetic field is studied analytically. It is shown that in a field perpendicular to the molecular chain axis, soliton wavefunction is a product of the electron plane wave in the pl
Externí odkaz:
http://arxiv.org/abs/2408.07491
Autor:
Ryan, Mitchell
The L\'evy-Leblond equation with free potential admits a symmetry algebra that is a $ \mathbb{Z}_2\times\mathbb{Z}_2 $-graded colour Lie superalgebra (see arXiv:1609.08224). We extend this result in two directions by considering a time-independent ve
Externí odkaz:
http://arxiv.org/abs/2407.19723
Autor:
Kolokoltsov, Vassili N.
Stochastic Master equations or quantum filtering equations for mixed states are well known objects in quantum physics. Building a mathematically rigorous theory of these equations in infinite-dimensional spaces is a long standing open problem. The fi
Externí odkaz:
http://arxiv.org/abs/2406.08962