Volume 51 Issue 8 | Journal of Mathematical Physics

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ARTICLES

Quantum Mechanics (General and Nonrelativistic)

The canonical coset decomposition of unitary matrices through Householder transformations

Renan Cabrera; Traci Strohecker; Herschel Rabitz

J. Math. Phys. 51, 082101 (2010) https://doi.org/10.1063/1.3466798

Abstract

View articletitled, The canonical coset decomposition of unitary matrices through Householder transformations

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Time fractional development of quantum systems

Hüseyin Ertik; Doğan Demirhan; Hüseyin Şirin; Fevzi Büyükkılıç

J. Math. Phys. 51, 082102 (2010) https://doi.org/10.1063/1.3464492

Abstract

View articletitled, Time fractional development of quantum systems

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Qiang–Dong proper quantization rule and its applications to exactly solvable quantum systems

F. A. Serrano; Xiao-Yan Gu; Shi-Hai Dong

J. Math. Phys. 51, 082103 (2010) https://doi.org/10.1063/1.3466802

Abstract

View articletitled, Qiang–Dong proper quantization rule and its applications to exactly solvable quantum systems

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Stochastic deformation of integrable dynamical systems and random time symmetry

Nicolas Privault; Jean-Claude Zambrini

J. Math. Phys. 51, 082104 (2010) https://doi.org/10.1063/1.3467214

Abstract

View articletitled, Stochastic deformation of integrable dynamical systems and random time symmetry

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Transition probabilities and measurement statistics of postselected ensembles

Tobias Fritz

J. Math. Phys. 51, 082105 (2010) https://doi.org/10.1063/1.3479748

Abstract

View articletitled, Transition probabilities and measurement statistics of postselected ensembles

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Quantum correlations and dynamics from classical random fields valued in complex Hilbert spaces

Andrei Khrennikov

J. Math. Phys. 51, 082106 (2010) https://doi.org/10.1063/1.3474600

Abstract

View articletitled, Quantum correlations and dynamics from classical random fields valued in complex Hilbert spaces

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Dynamical typicality: Convergence of time evolved macro-observables to their mean values in random matrix models

P. A. Vidal Miranda; G. Mahler

J. Math. Phys. 51, 082107 (2010) https://doi.org/10.1063/1.3374669

Abstract

View articletitled, Dynamical typicality: Convergence of time evolved macro-observables to their mean values in random matrix models

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Quantum Information and Computation

A transform of complementary aspects with applications to entropic uncertainty relations

Prabha Mandayam; Stephanie Wehner; Niranjan Balachandran

J. Math. Phys. 51, 082201 (2010) https://doi.org/10.1063/1.3477319

Abstract

View articletitled, A transform of complementary aspects with applications to entropic uncertainty relations

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A family of norms with applications in quantum information theory

Nathaniel Johnston; David W. Kribs

J. Math. Phys. 51, 082202 (2010) https://doi.org/10.1063/1.3459068

Abstract

View articletitled, A family of norms with applications in quantum information theory

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Relativistic Quantum Mechanics, Field Theory, Brane Theory (Including Strings)

Minimal unitary representation of $S U (2, 2)$ and its deformations as massless conformal fields and their supersymmetric extensions

Sudarshan Fernando; Murat Günaydin

J. Math. Phys. 51, 082301 (2010) https://doi.org/10.1063/1.3447773

Abstract

View articletitled, Minimal unitary representation of <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow xmlns=""><mi>S</mi><mi>U</mi><mrow><mo>(</mo><mn>2</mn><mo>,</mo><mn>2</mn><mo>)</mo></mrow></mrow></math> and its deformations as massless conformal fields and their supersymmetric extensions

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Combinatorics of 1-particle irreducible $n$ -point functions via coalgebra in quantum field theory

Ângela Mestre

J. Math. Phys. 51, 082302 (2010) https://doi.org/10.1063/1.3449321

Abstract

View articletitled, Combinatorics of 1-particle irreducible <math xmlns="http://www.w3.org/1998/Math/MathML"><mi xmlns="">n</mi></math>-point functions via coalgebra in quantum field theory

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Scaling of the ground-state energy of relativistic ions in high locally bounded magnetic fields

D. H. Jakubassa-Amundsen

J. Math. Phys. 51, 082303 (2010) https://doi.org/10.1063/1.3467037

Abstract

View articletitled, Scaling of the ground-state energy of relativistic ions in high locally bounded magnetic fields

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An $A_{r}$ threesome: Matrix models, $2 d$ conformal field theories, and $4 d$ $N = 2$ gauge theories

Ricardo Schiappa; Niclas Wyllard

J. Math. Phys. 51, 082304 (2010) https://doi.org/10.1063/1.3449328

Abstract

View articletitled, An <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow xmlns=""><msub><mi>A</mi><mi>r</mi></msub></mrow></math> threesome: Matrix models, <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow xmlns=""><mn>2</mn><mi>d</mi></mrow></math> conformal field theories, and <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow xmlns=""><mn>4</mn><mi>d</mi></mrow></math> <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow xmlns=""><mi mathvariant="script">N</mi><mo>=</mo><mn>2</mn></mrow></math> gauge theories

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Renormalized interaction of relativistic bosons with delta function potentials

Çaḡlar Doḡan; O. Teoman Turgut

J. Math. Phys. 51, 082305 (2010) https://doi.org/10.1063/1.3456122

Abstract

View articletitled, Renormalized interaction of relativistic bosons with delta function potentials

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Vector and axial anomaly in the Thirring–Wess model

Pierluigi Falco

J. Math. Phys. 51, 082306 (2010) https://doi.org/10.1063/1.3475536

Abstract

View articletitled, Vector and axial anomaly in the Thirring–Wess model

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General Relativity and Gravitation

Binary spinning black hole Hamiltonian in canonical center-of-mass and rest-frame coordinates through higher post-Newtonian order

Tilman J. Rothe; Gerhard Schäfer

J. Math. Phys. 51, 082501 (2010) https://doi.org/10.1063/1.3448924

Abstract

View articletitled, Binary spinning black hole Hamiltonian in canonical center-of-mass and rest-frame coordinates through higher post-Newtonian order

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The fine structure of SU(2) intertwiners from $U (N)$ representations

Laurent Freidel; Etera R. Livine

J. Math. Phys. 51, 082502 (2010) https://doi.org/10.1063/1.3473786

Abstract

View articletitled, The fine structure of SU(2) intertwiners from <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow xmlns=""><mtext>U</mtext><mrow><mo>(</mo><mi>N</mi><mo>)</mo></mrow></mrow></math> representations

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Friedman versus Abel equations: A connection unraveled

A. V. Yurov; V. A. Yurov

J. Math. Phys. 51, 082503 (2010) https://doi.org/10.1063/1.3460856

Abstract

View articletitled, Friedman versus Abel equations: A connection unraveled

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On the existence of certain axisymmetric interior metrics

C. Angulo Santacruz; D. Batic; M. Nowakowski

J. Math. Phys. 51, 082504 (2010) https://doi.org/10.1063/1.3475798

Abstract

View articletitled, On the existence of certain axisymmetric interior metrics

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Dynamical Systems

Consensus and synchronization problems on small-world networks

Lei Gu; Xiao-Dong Zhang; Qing Zhou

J. Math. Phys. 51, 082701 (2010) https://doi.org/10.1063/1.3456080

Abstract

View articletitled, Consensus and synchronization problems on small-world networks

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Geometric phases in astigmatic optical modes of arbitrary order

Steven J. M. Habraken; Gerard Nienhuis

J. Math. Phys. 51, 082702 (2010) https://doi.org/10.1063/1.3456078

Abstract

View articletitled, Geometric phases in astigmatic optical modes of arbitrary order

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Foucault pendulum and sub-Riemannian geometry

A. Anzaldo-Meneses; F. Monroy-Pérez

J. Math. Phys. 51, 082703 (2010) https://doi.org/10.1063/1.3478552

Abstract

View articletitled, Foucault pendulum and sub-Riemannian geometry

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Periodic orbits, invariant tori, and cylinders of Hamiltonian systems near integrable ones having a return map equal to the identity

Jaume Llibre; Ricardo Miranda Martins; Marco Antonio Teixeira

J. Math. Phys. 51, 082704 (2010) https://doi.org/10.1063/1.3477937

Abstract

View articletitled, Periodic orbits, invariant tori, and cylinders of Hamiltonian systems near integrable ones having a return map equal to the identity

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Classical Mechanics and Classical Fields

Late-time attractor for the cubic nonlinear wave equation

Nikodem Szpak

J. Math. Phys. 51, 082901 (2010) https://doi.org/10.1063/1.3470957

Abstract

View articletitled, Late-time attractor for the cubic nonlinear wave equation

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Rigid symmetries and conservation laws in non-Lagrangian field theory

D. S. Kaparulin; S. L. Lyakhovich; A. A. Sharapov

J. Math. Phys. 51, 082902 (2010) https://doi.org/10.1063/1.3459942

Abstract

View articletitled, Rigid symmetries and conservation laws in non-Lagrangian field theory

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Analytic treatment of vortex states in cylindrical superconductors in applied axial magnetic field

A. Ludu; J. Van Deun; M. V. Milošević; A. Cuyt; F. M. Peeters

J. Math. Phys. 51, 082903 (2010) https://doi.org/10.1063/1.3470767

Abstract

View articletitled, Analytic treatment of vortex states in cylindrical superconductors in applied axial magnetic field

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Fluids

Existence and decay of solutions to the two-dimensional fractional quasigeostrophic equation

Xueke Pu; Boling Guo

J. Math. Phys. 51, 083101 (2010) https://doi.org/10.1063/1.3460319

Abstract

View articletitled, Existence and decay of solutions to the two-dimensional fractional quasigeostrophic equation

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Angular momentum dynamics and the intrinsic drift of monopolar vortices on a rotating sphere

Ramses van der Toorn; Joseph T. F. Zimmerman

J. Math. Phys. 51, 083102 (2010) https://doi.org/10.1063/1.3455315

Abstract

View articletitled, Angular momentum dynamics and the intrinsic drift of monopolar vortices on a rotating sphere

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Statistical Physics

Lattice dynamics in the half-space. Energy transport equation

T. V. Dudnikova

J. Math. Phys. 51, 083301 (2010) https://doi.org/10.1063/1.3451109

Abstract

View articletitled, Lattice dynamics in the half-space. Energy transport equation

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Methods of Mathematical Physics

Geometry of plasma dynamics. I. Group of canonical diffeomorphisms

Hasan Gümral

J. Math. Phys. 51, 083501 (2010) https://doi.org/10.1063/1.3429581

Abstract

View articletitled, Geometry of plasma dynamics. I. Group of canonical diffeomorphisms

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Unified theory of exactly and quasiexactly solvable “discrete” quantum mechanics. I. Formalism

Satoru Odake; Ryu Sasaki

J. Math. Phys. 51, 083502 (2010) https://doi.org/10.1063/1.3458866

Abstract

View articletitled, Unified theory of exactly and quasiexactly solvable “discrete” quantum mechanics. I. Formalism

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Boundedness properties of fermionic operators

Peter Otte

J. Math. Phys. 51, 083503 (2010) https://doi.org/10.1063/1.3464264

Abstract

View articletitled, Boundedness properties of fermionic operators

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Orthosymplectically invariant functions in superspace

K. Coulembier; H. De Bie; F. Sommen

J. Math. Phys. 51, 083504 (2010) https://doi.org/10.1063/1.3462685

Abstract

View articletitled, Orthosymplectically invariant functions in superspace

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From nonlinear Schrödinger hierarchy to some $(2 + 1)$ -dimensional nonlinear pseudodifferential equations

Xiao Yang; Dianlou Du

J. Math. Phys. 51, 083505 (2010) https://doi.org/10.1063/1.3453389

Abstract

View articletitled, From nonlinear Schrödinger hierarchy to some <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow xmlns=""><mrow><mo>(</mo><mrow><mn>2</mn><mo>+</mo><mn>1</mn></mrow><mo>)</mo></mrow></mrow></math>-dimensional nonlinear pseudodifferential equations

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Coupling integrable couplings and bi-Hamiltonian structure associated with the Boiti–Pempinelli–Tu hierarchy

Yufeng Zhang; Engui Fan

J. Math. Phys. 51, 083506 (2010) https://doi.org/10.1063/1.3462736

Abstract

View articletitled, Coupling integrable couplings and bi-Hamiltonian structure associated with the Boiti–Pempinelli–Tu hierarchy

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$N = 2$ supersymmetric $a = 4$ -Korteweg–de Vries hierarchy derived via Gardner’s deformation of Kaup–Boussinesq equation

V. Hussin; A. V. Kiselev; A. O. Krutov; T. Wolf

J. Math. Phys. 51, 083507 (2010) https://doi.org/10.1063/1.3447731

Abstract

View articletitled, <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow xmlns=""><mi>N</mi><mo>=</mo><mn>2</mn></mrow></math> supersymmetric <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow xmlns=""><mi>a</mi><mo>=</mo><mn>4</mn></mrow></math>-Korteweg–de Vries hierarchy derived via Gardner’s deformation of Kaup–Boussinesq equation

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Every state on interval effect algebra is integral

Anatolij Dvurečenskij

J. Math. Phys. 51, 083508 (2010) https://doi.org/10.1063/1.3467463

Abstract

View articletitled, Every state on interval effect algebra is integral

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Vector coherent state realization of representations of the affine superalgebra $A^{(1)} (, 1)$

Yuezhu Wu

J. Math. Phys. 51, 083509 (2010) https://doi.org/10.1063/1.3470420

Abstract

View articletitled, Vector coherent state realization of representations of the affine superalgebra <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow xmlns=""><msup><mi>A</mi><mrow><mrow><mo>(</mo><mn>1</mn><mo>)</mo></mrow></mrow></msup><mrow><mo>(</mo><mrow><mn></mn><mo>,</mo><mn>1</mn></mrow><mo>)</mo></mrow></mrow></math>

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Construction of orthonormal wavelet-like bases

Patricia Mariela Morillas

J. Math. Phys. 51, 083510 (2010) https://doi.org/10.1063/1.3462714

Abstract

View articletitled, Construction of orthonormal wavelet-like bases

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Multisymplectic box schemes for the complex modified Korteweg–de Vries equation

A. Aydın; B. Karasözen

J. Math. Phys. 51, 083511 (2010) https://doi.org/10.1063/1.3456068

Abstract

View articletitled, Multisymplectic box schemes for the complex modified Korteweg–de Vries equation

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Universal structure and universal equations (PDE) for unitary ensembles

Igor Rumanov

J. Math. Phys. 51, 083512 (2010) https://doi.org/10.1063/1.3458578

Abstract

View articletitled, Universal structure and universal equations (PDE) for unitary ensembles

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Classification of indecomposable modules of the intermediate series over the twisted $N = 2$ superconformal algebra

Junbo Li; Yucai Su; Linsheng Zhu

J. Math. Phys. 51, 083513 (2010) https://doi.org/10.1063/1.3460855

Abstract

View articletitled, Classification of indecomposable modules of the intermediate series over the twisted <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow xmlns=""><mi>N</mi><mo>=</mo><mn>2</mn></mrow></math> superconformal algebra

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Finite-gap solutions of $2 + 1$ dimensional integrable nonlinear evolution equations generated by the Neumann systems

Jinbing Chen

J. Math. Phys. 51, 083514 (2010) https://doi.org/10.1063/1.3462249

Abstract

View articletitled, Finite-gap solutions of <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow xmlns=""><mn>2</mn><mo>+</mo><mn>1</mn></mrow></math> dimensional integrable nonlinear evolution equations generated by the Neumann systems

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Possible quantum kinematics. II. Nonminimal case

N. A. Gromov

J. Math. Phys. 51, 083515 (2010) https://doi.org/10.1063/1.3460841

Abstract

View articletitled, Possible quantum kinematics. II. Nonminimal case

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Isomonodromic deformations, generalized Knizhnik–Zamolodchikov equations and non-skew-symmetric classical $r$ -matrices

T. Skrypnyk

J. Math. Phys. 51, 083516 (2010) https://doi.org/10.1063/1.3462114

Abstract

View articletitled, Isomonodromic deformations, generalized Knizhnik–Zamolodchikov equations and non-skew-symmetric classical <math xmlns="http://www.w3.org/1998/Math/MathML"><mi xmlns="">r</mi></math>-matrices

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On the continuity of spectra for families of magnetic pseudodifferential operators

Nassim Athmouni; Marius Măntoiu; Radu Purice

J. Math. Phys. 51, 083517 (2010) https://doi.org/10.1063/1.3470118

Abstract

View articletitled, On the continuity of spectra for families of magnetic pseudodifferential operators

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Complete classification of parallel Lorentz surfaces in four-dimensional neutral pseudosphere

Bang-Yen Chen

J. Math. Phys. 51, 083518 (2010) https://doi.org/10.1063/1.3474915

Abstract

View articletitled, Complete classification of parallel Lorentz surfaces in four-dimensional neutral pseudosphere

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Optimal control of underactuated mechanical systems: A geometric approach

Leonardo Colombo; David Martín De Diego; Marcela Zuccalli

J. Math. Phys. 51, 083519 (2010) https://doi.org/10.1063/1.3456158

Abstract

View articletitled, Optimal control of underactuated mechanical systems: A geometric approach

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The Korteweg–de Vries equation on the interval

Iasonas Hitzazis; Dimitri Tsoubelis

J. Math. Phys. 51, 083520 (2010) https://doi.org/10.1063/1.3474914

Abstract

View articletitled, The Korteweg–de Vries equation on the interval

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A note on the nonexistence of sum of squares certificates for the Bessis–Moussa–Villani conjecture

Kristijan Cafuta; Igor Klep; Janez Povh

J. Math. Phys. 51, 083521 (2010) https://doi.org/10.1063/1.3462915

Abstract

View articletitled, A note on the nonexistence of sum of squares certificates for the Bessis–Moussa–Villani conjecture

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A connection between spin and statistics based on Galilean invariant delta functions

Masanori Kobayashi; Marc de Montigny; Faqir C. Khanna

J. Math. Phys. 51, 083522 (2010) https://doi.org/10.1063/1.3456059

Abstract

View articletitled, A connection between spin and statistics based on Galilean invariant delta functions

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Upper bounds on the number of eigenvalues of stationary Schrödinger operators

Dai Shi

J. Math. Phys. 51, 083523 (2010) https://doi.org/10.1063/1.3461876

Abstract

View articletitled, Upper bounds on the number of eigenvalues of stationary Schrödinger operators

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Whittaker modules for the Schrödinger–Witt algebra

Xiufu Zhang; Shaobin Tan; Haifeng Lian

J. Math. Phys. 51, 083524 (2010) https://doi.org/10.1063/1.3474916

Abstract

View articletitled, Whittaker modules for the Schrödinger–Witt algebra

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ERRATA

Erratum: “Explicit pure-state density operator structure for quantum tomography” [J. Math. Phys. 50, 102108 (2009)]

Cui-hong Lv; Hong-yi Fan

J. Math. Phys. 51, 089901 (2010) https://doi.org/10.1063/1.3464542

Extract

View articletitled, Erratum: “Explicit pure-state density operator structure for quantum tomography” [J. Math. Phys. 50, 102108 (2009)]

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Issues

ARTICLES

Quantum Mechanics (General and Nonrelativistic)

Quantum Information and Computation

Relativistic Quantum Mechanics, Field Theory, Brane Theory (Including Strings)

General Relativity and Gravitation

Dynamical Systems

Classical Mechanics and Classical Fields

Fluids

Statistical Physics

Methods of Mathematical Physics

ERRATA

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