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Quantum tomography for Dirac spinors

Ricardo A. Mosna
(
- Campinas State U.
)
,
Jayme Vaz
(
- Campinas State U.
)

Sep, 2003

8 pages

Published in:

Phys.Lett.A 315 (2003) 418-425

e-Print:

quant-ph/0303072 [quant-ph]

DOI:

10.1016/S0375-9601(03)01099-5

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Abstract: (Elsevier)

We present a tomographic scheme, based on spacetime symmetries, for the reconstruction of the internal degrees of freedom of a Dirac spinor. We discuss the circumstances under which the tomographic group can be taken as SU (2), and how this crucially depends on the choice of the gamma matrix representation. A tomographic reconstruction process based on discrete rotations is considered, as well as a continuous alternative.

Note:

9 pages, LaTeX; v2: minor changes, references added. A slightly revised version has been accepted for publication in Phys. Lett. A

03.65.Wj
03.30.+p
03.65.Ca
Quantum tomography
Dirac spinor
Spin-1/2 particle
grand unified theory: higher-dimensional
compactification: orbifold
coupling constant
renormalization group: fixed point

References(20)

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On the quantum correction for thermodynamic equilibrium

Eugene P. Wigner
(
- Princeton U.
)

- Phys.Rev. 40 (1932) 749-760
•
DOI:
- 10.1103/PhysRev.40.749

Quantum mechanics as a statistical theory

J.E. Moyal
(
- Queen's U., Belfast
)

- Math.Proc.Cambridge Phil.Soc. 45 (2008) 1, 99-124,
- Proc.Cambridge Phil.Soc. 45 (1949) 99-124,
- In *Li, M. (ed.) et al.: Physics in non-commutative world* 9-33
•
DOI:
- 10.1017/S0305004100000487

- Found.Phys. 17 397

Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase

K. Vogel
(
- Ulm U.
)
,
H. Risken
(
- Ulm U.
)

- Phys.Rev.A 40 (1989) 2847-2849
•
DOI:
- 10.1103/PhysRevA.40.2847

Different realizations of tomographic principle in quantum state measurement

Stefano Mancini
(
- Camerino U. and
- Lebedev Inst.
)
,
Paolo Tombesi
(
- Camerino U. and
- Lebedev Inst.
)
,
Vladimir I. Man'ko
(
- Camerino U. and
- Lebedev Inst.
)

- J.Mod.Opt. 44 (1997) 2281
•
e-Print:
- quant-ph/9709012
•
DOI:
- 10.1080/095003497152500

Symplectic tomography as classical approach to quantum systems

- Phys.Lett.A 213 (1996) 1
•
e-Print:
- quant-ph/9603002
•
DOI:
- 10.1016/0375-9601(96)00107-7

Classical - like description of quantum dynamics by means of symplectic tomography

- Found.Phys. 27 (1997) 801
•
e-Print:
- quant-ph/9609026
•
DOI:
- 10.1007/BF02550342

- Phys.Lett.A 229 335

- Zh.Eksp.Teor.Fiz. 112 796

- Phys.Rev. 53 2998

e-Print:
- quant-ph/0004026

e-Print:
- quant-ph/0005058

e-Print:
- quant-ph/0102038

Quantum time evolution in terms of nonredundant expectation values

Stefan Weigert

- Phys.Rev.Lett. 84 (2000) 802
•
e-Print:
- quant-ph/9903103
•
DOI:
- 10.1103/PhysRevLett.84.802

Relativistic properties of 'marginal' distributions

Stefano Mancini
(
- Camerino U. and
- INFN, Camerino
)
,
Paolo Tombesi
(
- Camerino U. and
- INFN, Camerino
)
,
Vladimir I. Man'ko
(
- Lebedev Inst.
)

- Phys.Scripta 58 (1998) 421
•
e-Print:
- quant-ph/9806035
•
DOI:
- 10.1088/0031-8949/58/5/002

On Unitary Representations of the Inhomogeneous Lorentz Group

Eugene P. Wigner
(
- Princeton U.
)

- Annals Math. 40 (1939) 149-204,
- Nucl.Phys.B Proc.Suppl. 6 (1989) 9-64 (reprint)
•
DOI:
- 10.2307/1968551

- Prog.Theor.Phys.Suppl. 4 1

Relativistic Algebraic Spinors and Quantum Motions in Phase Space

P.R. Holland
(
- Poincare Inst.
)

- Found.Phys. 16 (1986) 701-719,
- Found. Phys. 16 ( 1986) 701-719
•
DOI:
- 10.1007/BF00735377

ON THE ALGEBRA OF DIRAC BISPINOR DENSITIES: FACTORIZATION AND INVERSION THEOREMS

J.P. Crawford
(
- Penn State U., Uniontown
)

- J.Math.Phys. 26 (1985) 1439-1441,
- J. Math. Phys. 26 ( 1985) 1439-1441
•
DOI:
- 10.1063/1.526906

Bispinor geometry for even dimensional space-time

J.P. Crawford
(
- Penn State U., Uniontown
)

- J.Math.Phys. 31 (1990) 1991-1997
•
DOI:
- 10.1063/1.528648