Relativistic quantum systems exhibit unique features not present at lower energies, such as
the existence of both particles and antiparticles, and restrictions placed on the system …

Achieving effectively adiabatic dynamics in finite time is a ubiquitous goal in virtually all
areas of modern physics. So-called shortcuts to adiabaticity refer to a set of methods and …

We solve the generalized relativistic harmonic oscillator in 1+ 1 dimensions, ie, including a
linear pseudoscalar potential and quadratic scalar and vector potentials which have equal …

Only very recently, rescaling time has been recognized as a way to achieve adiabatic
dynamics in fast processes. The advantage of time-rescaling over other shortcuts to …

The Dirac equation is exactly solved for a pseudoscalar linear plus Coulomb-like potential in
a two-dimensional world. This sort of potential gives rise to an effective quadratic plus …

The eigenvalue problem of one-dimensional Dirac operator | Theoretical Chemistry Accounts
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We study (1+ 1)-dimensional Dirac equation with non-Hermitian interactions, but real
energies. In particular, we analyze the pseudoscalar and scalar interactions in detail …

A simple framework for Dirac spinors is developed that parametrizes admissible quantum
dynamics and also analytically constructs electromagnetic fields, obeying Maxwell's …

The intrinsically relativistic problem of neutral fermions subject to kink-like potentials (∼
tanhγx) is investigated and the exact bound-state solutions are found. Apart from the lonely …

The Cornell potential consists of Coulomb and linear potentials, ie− a/r+ br, that it has
received a great deal of attention in particle physics. In this paper, we present exact …