Poincar� invariant representation of the spin in quantum theory

Bordovitsyn, V. A.; Ternov, I. M.

doi:10.1007/bf01017271

Cited by 7 publications

(3 citation statements)

References 23 publications

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“…4 It will be noted that the condition (3) was first formulated by Yu.M.Shirokov for spin four-vector. As it is known (see, for example, [33]) the spin four-vector S µ is connected with tensor Π αβ by relation…”

Section: Spin Equation In the Shirokov Formalismmentioning

confidence: 99%

“…In the quantum theory of the Dirac particles the spin description is given via the Poincareinvariant spin operators [33]. Thereat the operator equations of motion are obtained from the Heisenberg proper time equations with the Dirac covariant Hamiltonian [12].…”

Section: Correspondence Principle In the Spin Theorymentioning

confidence: 99%

“…of Zitterbewegung is successfully solved by means of quantum theory with definite parity of operators [51]. It is found that the general classical relations like the spin mass (3), momentum invariant (26) and spin invariants (33) have the corresponding quantum analogues with even operators (see [29] for m, see [52] for P α P α , and see [53] for H µν Π µν ). For instance, instead of ( 26) we obtain 34) is invariant with respect to replacement of the degree of operators parity, i.e.…”

Section: Et Al)mentioning

confidence: 99%

See 2 more Smart Citations

Spin-Orbital Motion and Thomas Precession in the Classical and Quantum Theories

Bordovitsyn¹,

Myagkii²

2001

Particle Physics at the Start of the New Millennium

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The motion of a magnetic spin particle in electromagnetic fields is considered on the basis of general principles of the classical relativistic theory. Alternative approaches in derivation of the equations of charge motion and spin precession, the problem of noncollinearity of the momentum and velocity of a particle with spin, the origin and the meaning of Thomas precession in dynamics of the spin particle are also considered. The correspondence principle in the spin theory is discussed.

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Section: Spin Equation In the Shirokov Formalismmentioning

confidence: 99%

Section: Correspondence Principle In the Spin Theorymentioning

confidence: 99%