Saltar al contenido principal
LibreTexts Español

10: Matrices de centrifugado Pauli

  1. Última actualización
  2. Guardar como PDF
  • Page ID
    131305

    • \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\)

    Podemos representar los estados propios para el momento angular de una partícula spin-1/2 a lo largo de cada uno de los tres ejes espaciales con vectores de columna:

    \ [\ begin {aligned}
    &|+z\ rangle=\ left [\ begin {array} {l} 1\\ 0\ end {array}\ right]\ quad|+y\ rangle=\ left [\ begin {array} {l} 1/\ sqrt {2}\\ i/\ sqrt {2}
    \ end {array}\ right]\ quad|+x\ rangle=\ izquierda [\ begin {array} {l} 1/\ sqrt {2}\\
    1/\ sqrt {2}\ end {array}\ derecha]\\ &|-z\ rangle=\ left [\ begin {array} {l} 0\\ 1\ end {array}\ right]\ quad|-y\ rangle=\ left [\ begin {array} {l}
    i/\ sqrt {2}\\ 1/\ sqrt {2}
    \ end {array}\ right]\ quad|-x\ rangle=\ left [\ begin {array} {r} 1/\ sqrt {2}\\ -1/\ sqrt {2}\ end {array}\ derecha]
    \ end {alineado}\ tag {10.1}\ nonumber\]

    Del mismo modo, podemos usar matrices para representar los distintos operadores de giro.

    This page titled 10: Matrices de centrifugado Pauli is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Pieter Kok via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.