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The atom would then be pulled toward or away from the stronger magnetic field a specific amount, depending on the value of the valence electron's spin. When the spin of the electron is + + 1 / 2 the atom moves away from the stronger field, and when the spin is − + 1 / 2 the atom moves toward it. Thus the beam of silver atoms is ...
For example, one can exert a kind of "torque" on an electron by putting it in a magnetic field (the field acts upon the electron's intrinsic magnetic dipole moment—see the following section). The result is that the spin vector undergoes precession, just like a classical gyroscope. This phenomenon is known as electron spin resonance (ESR).
The spin magnetic moment of the electron is =, where is the spin (or intrinsic angular-momentum) vector, is the Bohr magneton, and = is the electron-spin g-factor. Here μ {\displaystyle {\boldsymbol {\mu }}} is a negative constant multiplied by the spin , so the spin magnetic moment is antiparallel to the spin.
This property is usually stated by referring to the electron as a spin-1/2 particle. [79] For such particles the spin magnitude is ħ / 2 , [84] while the result of the measurement of a projection of the spin on any axis can only be ± ħ / 2 . In addition to spin, the electron has an intrinsic magnetic moment along its spin axis ...
K 0 decayed into the electron. The earlier analysis yielded a relation between the rate of electron and positron production from sources of pure K 0 and its antiparticle K 0. Analysis of the time dependence of this semileptonic decay showed the phenomenon of oscillation, and allowed the extraction of the mass splitting between the K S and K L.
In particle physics, the Dirac equation is a relativistic wave equation derived by British physicist Paul Dirac in 1928. In its free form, or including electromagnetic interactions, it describes all spin-1/2 massive particles, called "Dirac particles", such as electrons and quarks for which parity is a symmetry.
The general form of wavefunction for a system of particles, each with position r i and z-component of spin s z i. Sums are over the discrete variable s z , integrals over continuous positions r . For clarity and brevity, the coordinates are collected into tuples, the indices label the particles (which cannot be done physically, but is ...
where the spin exchange cross section for alkali metals such as K, Rb, and Cs is [3] σ s e = 2 × 10 − 14 c m 2 {\displaystyle \sigma _{se}=2\times 10^{-14}\ \mathrm {cm} ^{2}} and where n {\displaystyle n} is the vapor density and v ¯ r e l {\displaystyle {\bar {v}}_{rel}} is the average relative velocity given by the Maxwell–Boltzmann ...