Two routes for deriving the exact two-component Hamiltonians are compared. In the first case, as already known, we start directly from the matrix representation of the Dirac operator in a restricted kinetically balanced basis and make a single block diagonalization. In the second case, not considered before, we start instead from the Foldy-Wouthuysen operator and make proper use of resolutions of the identity. The expressions are surprisingly different. It turns out that a mistake was made in the former formulation when going from the Dirac to the Schroumldinger picture. The two formulations become equivalent after the mistake is corrected.http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&...
The two-component formulation of quantum electrodynamics is studied. The relation with the usual Dir...
In this article we study two-dimensional Dirac Hamiltonians with non-commutativity both in coordinat...
Two different methods of obtaining ``effective $2\times 2$ Hamiltonians'' which include relativistic...
ABSTRACT: A series of nonsingular two-component relativistic Hamiltonians is derived from the Dirac ...
International audienceThe authors report the implementation of a simple one-step method for obtainin...
The idea for separating the algebraic exact two-component (X2C) relativistic Hamiltonians into spin-...
International audienceBased on self-consistent field (SCF) atomic mean-field (amf) quantities, we pr...
The Foldy-Wouthuysen transformation of the Dirac Hamiltonian is generally taught as simply a mathema...
The foundations and limits of S=1/2 and S=1 spin Hamiltonians for systems with two unpaired electron...
We follow Dirac and write the Schrodinger equation in an algebraic form which is representation-free...
{J. H. Van Vleck, \textit{Phys. Rev.{C. Bloch, \textit{Nucl. Phys.{J. M. Brown and A. Carrington, \t...
ISSN 0090-4759; ISSN of Original: 0367-2026. Žurn. pavadinimas pasikeitė į Physics of Particles and ...
In a recent article [Phys. Rev. A 31, 2107 (1985)] Leasure and Balint-Kurti claim to give a more eff...
Quantum Mechanics is an incredibly difficult subject to understand, even to physicists. To obtain so...
An exact two-component (X2C) relativistic theory for nuclear magnetic resonance parameters is obtain...
The two-component formulation of quantum electrodynamics is studied. The relation with the usual Dir...
In this article we study two-dimensional Dirac Hamiltonians with non-commutativity both in coordinat...
Two different methods of obtaining ``effective $2\times 2$ Hamiltonians'' which include relativistic...
ABSTRACT: A series of nonsingular two-component relativistic Hamiltonians is derived from the Dirac ...
International audienceThe authors report the implementation of a simple one-step method for obtainin...
The idea for separating the algebraic exact two-component (X2C) relativistic Hamiltonians into spin-...
International audienceBased on self-consistent field (SCF) atomic mean-field (amf) quantities, we pr...
The Foldy-Wouthuysen transformation of the Dirac Hamiltonian is generally taught as simply a mathema...
The foundations and limits of S=1/2 and S=1 spin Hamiltonians for systems with two unpaired electron...
We follow Dirac and write the Schrodinger equation in an algebraic form which is representation-free...
{J. H. Van Vleck, \textit{Phys. Rev.{C. Bloch, \textit{Nucl. Phys.{J. M. Brown and A. Carrington, \t...
ISSN 0090-4759; ISSN of Original: 0367-2026. Žurn. pavadinimas pasikeitė į Physics of Particles and ...
In a recent article [Phys. Rev. A 31, 2107 (1985)] Leasure and Balint-Kurti claim to give a more eff...
Quantum Mechanics is an incredibly difficult subject to understand, even to physicists. To obtain so...
An exact two-component (X2C) relativistic theory for nuclear magnetic resonance parameters is obtain...
The two-component formulation of quantum electrodynamics is studied. The relation with the usual Dir...
In this article we study two-dimensional Dirac Hamiltonians with non-commutativity both in coordinat...
Two different methods of obtaining ``effective $2\times 2$ Hamiltonians'' which include relativistic...