mechanics, the spin–orbit interaction (also called spin–orbit effect or spin–orbit coupling) is a relativistic interaction of a particle's spin with its motion...

orbit and spin of a single particle can interact through spin–orbit interaction, in which case the complete physical picture must include spin–orbit coupling...

outermost orbital). These rules are empirical but they can be related to electron physics.: 10 : 260  When one takes the spin–orbit interaction into consideration...

approximating the model with a three-dimensional harmonic oscillator plus a spin–orbit interaction. A more realistic but complicated potential is known as the Woods–Saxon...

having their spins coupled by a potential of the form: It follows that the exchange interaction Hamiltonian between two electrons in orbitals Φ a {\displaystyle...

m_{\text{j}}} too form a set of good quantum numbers. To take the spin-orbit interaction is taken into account, we have to add an extra term in Hamiltonian...

Pd, where the spin-orbit interaction is strong). A transformation of spin currents consisting in interchanging (swapping) of the spin and flow directions...

and m is the vacuum mass of the electron. (This equation neglects the spin–orbit effect; see below.) In a crystalline solid, V is a periodic function,...

electrons is much greater than the spin–orbit interaction, which is in turn stronger than any other remaining interactions. This is referred to as the LS...

a phenomenon known as spin–orbit interaction. When one takes this coupling into account, the spin and the orbital angular momentum are no longer conserved...

angular momentum applies to J, but not to L or S; for example, the spin–orbit interaction allows angular momentum to transfer back and forth between L and...

in the Dirac Hamiltonian. The splitting is a combined effect of spin–orbit interaction and asymmetry of the crystal potential, in particular in the direction...

spin resonance (EDSR) is a method to control the magnetic moments inside a material using quantum mechanical effects like the spin–orbit interaction....

Dresselhaus effect is a phenomenon in solid-state physics in which spin–orbit interaction causes energy bands to split. It is usually present in crystal systems...

electrostatic potential, additional relativistic terms include the spin–orbit interaction, electron gyromagnetic ratio, and Darwin term. In ordinary QM these...

of SU(2) Spin angular momentum of light Spin engineering Spin-flip Spin isomers of hydrogen Spin–orbit interaction Spin tensor Spintronics Spin wave Yrast...

in most cases from the simultaneous action of magnetization and spin–orbit interaction (exceptions related to non-collinear magnetic order notwithstanding)...

locking, captured rotation, and spin–orbit locking. The effect arises between two bodies when their gravitational interaction slows a body's rotation until...

the spin–orbit interaction allows angular momentum to transfer back and forth between L and S, with the total J remaining constant. The orbital angular...

solution of the hydrogen atom with spin–orbit interaction. The spinor spherical harmonics Yl, s, j, m are the spinors eigenstates of the total angular momentum...

{J_{2}} } Spin-Orbit interaction (also known as spin-orbit coupling) is a special case of angular momentum coupling. Specifically, it is the interaction between...

momenta. Due to the spin–orbit interaction in an atom, the orbital angular momentum no longer commutes with the Hamiltonian, nor does the spin. These therefore...

An orbital can be occupied by a maximum of two electrons, each with its own projection of spin m s {\displaystyle m_{s}} . The simple names s orbital, p...

key achievements include calculating relativistic effects on the spin-orbit interaction in a hydrogen atom (Thomas precession), creating an approximate...

technique was used to overcome the lack of spin-orbit interaction and materials issues to achieve spin transport in silicon. Because external magnetic...

B_{\text{SO}}} is the spin–orbit characteristic field which can be considered a measure of the strength of the spin–orbit interaction and B e {\displaystyle...

characterized by a strong absorption in the air. Because of the spin–orbit interaction, the Lyman-alpha line splits into a fine-structure doublet with...

event is governed by Coulomb interaction. This is the leading term in the Hamiltonian, but a correction due to spin-orbit coupling can be taken into account...

Lorentz transformations. Thomas precession gives a correction to the spin–orbit interaction in quantum mechanics, which takes into account the relativistic...

arise, largely due to spin–orbit interaction—the mutual interaction between the motion and spin of electrons. The spin–orbit interaction is especially strong...