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Time reversal with spin-orbit coupling

3 Time reversal with spin-orbit coupling [Pg.254]

We now remove the restriction that // is real, introduce the symbol 0 for the time-reversal symmetry operator, and choose t0 = 0. Now Qip is the transformed function which has the [Pg.254]

The state described by ip(0) evolving backwards in time for the same time interval becomes one described by [Pg.254]

In this case (c = — 1) ( h/j and ij are orthogonal and so correspond to different degenerate states. [Pg.255]

The product of two antiunitary operators is a unitary operator. Consequently, [Pg.255]


In the non-relativistic domain one-electron operators can be classified as triplet and singlet operators, depending on whether they contain spin operators or not. In the relativistic domain the spin-orbit interaction leads to an intimate coupling of the spin and spatial degrees of freedom, and spin symmetry is therefore lost. It can to some extent be replaced by time-reversal symmetry. We may choose the orbital basis generating the matrix of Hx to be a Kramers paired basis, that is each orbital j/p comes with the Kramers partner = generated by the action of the time-reversal operator We can then replace the summation over individual orbitals in (178) by a summation over Kramers pairs which leads to the form... [Pg.371]


See other pages where Time reversal with spin-orbit coupling is mentioned: [Pg.4]    [Pg.108]    [Pg.282]    [Pg.182]    [Pg.183]    [Pg.216]    [Pg.1449]    [Pg.4]    [Pg.436]    [Pg.113]    [Pg.278]    [Pg.10]    [Pg.150]    [Pg.2742]    [Pg.235]    [Pg.103]    [Pg.18]   


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Reverse-time

Spin-orbit coupling

Spin-orbital coupling

Time reversal

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