Description of a Particle with Arbitrary Mass and Spin

Weaver, D. L.; Hammer, C. L.; Good, R. H.

doi:10.1103/physrev.135.b241

Cited by 121 publications

(33 citation statements)

References 16 publications

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“…where Ψ = column(Ψ [23] , Ψ [31] , Ψ [12] ) and S = (S 23 , S 31 , S 12 ) is the total spin for the tensor-spinor wave function, components of which are given in (4.10).…”

Section: Single Particle Equationsmentioning

confidence: 99%

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Relativistic wave equations for interacting, massive particles with arbitrary half-integer spins

Niederle

Nikitin

2001

Phys. Rev. D

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New relativistic wave equations (RWE) for massive particles with arbitrary half-integer spins s interacting with external electromagnetic fields are proposed. They are based on wave functions which are irreducible tensors of rank 2n (n = s − 1 2 ) antisymmetric w.r.t. n pairs of indices, whose components are bispinors. The form of RWE is straightforward and free of inconsistencies associated with the other approaches to equations describing interacting higher spin particles.

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“…where Ψ = column(Ψ [23] , Ψ [31] , Ψ [12] ) and S = (S 23 , S 31 , S 12 ) is the total spin for the tensor-spinor wave function, components of which are given in (4.10).…”

Section: Single Particle Equationsmentioning

confidence: 99%

“…The relativistic Schrödinger equations without redundant components [31] admit reasonable quasirelativistic approximations [14], however, make troubles to introduce minimal interaction since they are formulated in terms of integrodifferential operators.…”

Section: Introductionmentioning

confidence: 99%

Relativistic wave equations for interacting, massive particles with arbitrary half-integer spins

Niederle

Nikitin

2001

Phys. Rev. D

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“…known from the standard Clifford-Dirac algebra Cl C (1,3), and the anticommutation relations (44), in Cl R (0,6) algebra for the matrices Γ A 2N (43) the following extended equalities are valid:…”

Section: On the Relativistic Canonical Quantum Mechanics And Field Thmentioning

confidence: 99%

“…Different approaches to the description of the field theory of an arbitrary spin can be found in [7,[39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56]. Here and in [1][2][3] only the approach started in [7] is the basis for further application.…”

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On the Relativistic Canonical Quantum Mechanics and Field Theory of Arbitrary Spin

Simulik¹

2017

ujpa

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The new relativistic equations of motion for the particles with arbitrary spin and nonzero mass, suggested by author in years 2014-2016, are under consideration. The complete version of brief paper in J. Phys: Conf. Ser., 670 (2016) 012047(1-16) is given. The axiomatic level description of the relativistic canonical quantum mechanics of an arbitrary mass and spin has been given. The 64-dimensional Cl R (0,6) algebra in terms of Dirac gamma matrices has been suggested. The interpretation of the 28-dimensional gamma matrix representation of SO(8) algebra over the field of real numbers is given. The link between the relativistic canonical quantum mechanics of the arbitrary spin and the covariant local field theory in the form of extended Foldy-Wouthuysen transformation has been found. Different methods of the Dirac equation derivation have been reviewed. The manifestly covariant field equation for an arbitrary spin, that follows from the corresponding equation of relativistic canonical quantum mechanics, has been considered. The found equations are without redundant components. The partial examples for spin s=3/2 and s=2 are presented. The covariant local field theory equations for spin s = (3/2,3/2) particle-antiparticle doublet and spin s = (2,2) particle-antiparticle doublet have been introduced. The Maxwell and slightly generalized Maxwell-like equations containing mass member have been considered as well.

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An Operator Method for the Addition of Two Angular Momenta by Symmetrizing the Product of n Spin Functions

Ansari

1967

Fortschr. Phys.

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A general expression of Clebsch-Gordan coefficients is derived by means of de Broglie-like mkthode de fusion: the second angular momentum is added to the first in n steps of half each, the maximum symmetric composition of the n spin functions being taken into account explicitly. The procedure is operatorial. Group-theoretically speaking the irreducible representations of the direct product of two irreducible representations of the rotation group are realized via symmetric group S, with the aid of projection operators (equivalent to Young's symmetrizers). The decomposition of the representations of S, therein is performed iductively by utilizing the chain of subgroups:

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Description of a Particle with Arbitrary Mass and Spin

Cited by 121 publications

References 16 publications

Relativistic wave equations for interacting, massive particles with arbitrary half-integer spins

Relativistic wave equations for interacting, massive particles with arbitrary half-integer spins

On the Relativistic Canonical Quantum Mechanics and Field Theory of Arbitrary Spin

An Operator Method for the Addition of Two Angular Momenta by Symmetrizing the Product of n Spin Functions

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