• Stefan
  Weigert
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Preprints

Refereed Papers

• Isolated Hadamard Matrices from Mutually Unbiased Product Bases
  J. Math. Phys. 53, 122202 (2012) / with D McNulty
  
  
• On the Impossibility to extend Triples of Mutually Unbiased Product Bases in Dimension Six
  Int. J. Quant. Inf. 10, 1250056 (2012) / with D McNulty
  
  
• The Limited Role of Mutually Unbiased Product Bases in Dimension Six
  J. Phys. A: 45 (2012) 102001 / with D McNulty
  

55. All Mutually Unbiased Product Bases in Dimension Six
    J. Phys. A: 45 (2012) 135307 / with D McNulty
    

• Affine Constellations Without Mutually Unbiased Counterparts
  J. Phys. A 43 (2010) 402002 / with T Durt
  

• Mutually Unbiased Bases and Semi-Definite Programming
  J. Phys. Conf. Ser. 254 012008 (2010) / with S Brierley
  
  
• All Mutually Unbiased Bases in Dimensions Two to Five
  Quant. Inf. Comp. 10 (2010) 803 / with S Brierley and I Bengtsson
  
  
• Constructing Mutually Unbiased Bases in Dimension Six
  Phys. Rev. A 79, 052316 (2009) / with S Brierley
  

• Maximal Sets of Mutually Unbiased Quantum States in Dimension Six
  Phys. Rev. A 78, 042312 (2008) / with S Brierley


• Mutually Unbiased Bases for Continuous Variables
  Phys. Rev. A 78, 020303(R) (2008) / with M Wilkinson


• Upper Quantum Lyapunov Exponent and Anosov relations for Quantum Systems Driven by a Classical Flow
  J. Stat. Phys. 127 (2007) 699-719 / with O Sapin and HR Jauslin


• Detecting Broken PT-Symmetry
  J. Phys. A 39 (2006) 10239


• An Algorithmic Test for Diagonalizability of Finite-Dimensional PT-Invariant Systems
  J. Phys. A 39 (2006) 235

45. Simple Minimal Informationally Complete Measurements for Qudits
    Int. J. Mod. Phys. B 20 (2006) 1942-1955
    

• How to Test for Diagonalizability: The Discretized PT-Invariant Square-Well Potential
  Czech J. Phys. 55 (2005) 1183


• Expanding Hermitean Operators in a Basis of Projectors on Coherent Spin States
  J. Opt. B 6 (2004) 489-90


• The Physical Interpretation of PT-Invariant Systems
  Czech J. Phys. 54 (2004) 1139-42


• The Gram Matrix of a PT-symmetric Quantum System
  Czech J. Phys. 54 (2004) 147-50


• Quantum Correlation Games
  J. Phys. A (2004) 5873-85 / with A Iqbal


• Lüders Theorem for Coherent-State POVMs
  J. Math. Phys. 44 (2003) 5474-86 / with P Busch


• Completeness and Orthonormality in PT-Sym­­metric Quantum Mechanics
  Phys. Rev. A 68 (2003) 062111


• The Quantum Way to Diagonalize Hermitean Matrices
  Fortschr. Phys. 51 (2003) 249


• Quantum Search for the Zeros of Polynomials
  J. Opt. B 5 (2003) S586-S588
  

35. PT-Symmetry and its Spontaneous Breakdown Explained by Anti-Linearity
    J. Opt. B 5 (2003) S416-S419
    

• Commensurate Harmonic Oscillators: Classical Symmetries
  J. Math. Phys. 43 (2002) 4110-26 / with J-P Amiet


• Quantum Parametric Resonance
  J. Phys. A 35 4169-81 (2002)


• Contracting the Wigner Kernel of a Particle to the Wigner Kernel of a Spin
  Phys. Rev. A 63 12102 (2001) / with J-P Amiet


• Discrete Moyal-type Representation for a Spin
  Phys. Rev. A 63 012105 (2001) / with S Heiss


• Quantum Diagonalization of Hermitean Matrices
  J. Phys. A 34 (2001) 5619-24


• Discrete Q- and P-symbols for a Spin s
  J. Opt. B 2 (2000) 118-21 / with J-P Amiet


• Quantum Time Evolution in Terms of Non-Redundant Probabilities
  Phys. Rev. Lett. 84 (2000) 802-5


• Coherent States and the Reconstruction of Pure Spin States
  J. Opt. B 1 (1999) L5-8


• Gauge Transformations for a Driven Quantum Particle in an Infinite Square Well (no reprint)
  Found. Phys. 29 (1999) 1785-1806
  

25. Reconstructing the Density Matrix of a Spin s by Stern-Gerlach Measurements: II
    J. Phys. A 32 (1999) L269-74 / with J-P Amiet
    

• Reconstructing a Pure State of a Spin s through Three Stern-Gerlach Measurements
  J. Phys. A 32 (1999) 2777-84 / with J-P Amiet


• Reconstructing the Density Matrix of a Spin s by Stern-Gerlach Measurements
  J. Phys. A 31 (1998) L543-8 / with J-P Amiet


• Three-Path Interference and Topologically Suppressed Tunneling
  Europhys. Lett. 42 (1998) 599-604 /with I Herger


• Solvable Three-state Model of a Driven Double-Well Potential and Coherent Destruction of Tunneling
  Phys. Rev. A 57 (1998) 68-78 / with L Schatzer


• Baker-Campbell-Hausdorff Relation for Special Unitary Groups SU(n)
  J. Phys. A 30 (1997) 8739-4921


• Electric Conductivity near the Percolation Transition of a Nonionic Water-in-Oil Microemulsion
  Physica A 241/2 (1997) 95-103 / with H-F Eicke and W Meier


• Frequency Shifts of Cantilevers in Various Media
  Appl. Phys. Lett. 69 (1996) 2834-6 / with M Dreier and M Hegner


• Small Denominators, Frequency Operators and Lie Transforms for Nearly-Integrable Quantum Systems
  Phys. Rev. A 53 (1996) 2971-9 / with Th Gramespacher


• Spatial Squeezing of the Zero-Point Energy and the Casimir Effect
  Phys. Lett. A 214 (1996) 215-20
  

15. The Landscape of Uncertainty in Hilbert Space
    Phys. Rev. A 53 (1996) 2084-8

• How to Determine a Quantum State by Measaurements: The Pauli Problem for a Particle with Arbitrary Potential
  Phys. Rev. A 53 (1996) 2078-83


• Hamiltonian Chaos IV
  Comput. Phys. 10 (1996) 39-45 / with N Regez, W Breymann, C Kaufman, and G Müller


• A Quantum Particle on a Rotating Loop: Topological Quenching due to a Coriolis- -Aharonov-Bohm Effect
  Phys. Rev. Lett. 75 (1995) 1435-8


• Quantum Integrability and Action Operators in Spin Dynamics
  Chaos, Solitons & Fractals 5 (1995) 1419-38 / with G Müller


• Topologically Quenched Tunnel Splitting for a Particle in a Double-Well Potential on a Planar Loop
  Phys. Rev. A 50 (1994) 4572-81


• Topologically Quenched Tunnel Splitting from Quantum-Mechanical Perturbation Theory
  Europhys. Lett. 26 (1994) 561-4


• Quantum Chaos in the Configurational Quan­tum Cat Map
  Phys. Rev. A 48 (1993) 1780-98


• Adiabatic Motion of a Spinning Particle in an Inhomogeneous Magnetic Field
  Phys. Rev. A 48 (1993) 924-40 / with RG Littlejohn


• Diagonalization of Multicomponent Wave Equations with Born-Oppenheimer Example
  Phys. Rev. A 47 (1993) 3506-12 / with RG Littlejohn
  

5. Classical Degeneracy and the Existence of Additional Constants of Motion
   Am. J. Phys. 61 (1993) 272-7 / with H Thomas

• Pauli Problem for a Spin of Arbitrary Length: A Simple Method to Determine its Wave­function
  Phys. Rev. A 45 (1992) 7688-96


• The Problem of Quantum Integrability
  Physica D 56 (1992) 107-19
  


• Chaos and Quantum-Nondemolition Measure­ments
  Phys. Rev. A 43 (1991) 6597-603


• The Configurational Quantum Cat Map
  Z. Phys. B 80 (1990) 3-4

Conference Proceedings

• The Wigner Kernel of a Particle obtained from the Wigner Kernel of a Spin by Group­-Theoretical Contraction
  In: Proceedings of the XIII International Colloquium on Group Theoretical Methods in Physics, Dubna (RU) 2000 / with J.-P. Amiet
  
  
• A Discrete Phase-Space Calculus for Quantum Spins based on a Reconstruction Method using Coherent States
  Act. Phys. Slov. 4 (1999) 613-20
  
  
• Reconstruction of Spin States and its Conceptual Implications
  In: Trends in Quantum Mechanics, edited by H-D Doebner, ST Ali, M Keyl, and RF Werner. World Scientific, Singapore 2000 , pp. 146-56


• Squeezing Energy out of the Vacuum
  Helv. Phys. Acta 66 (1993) 907-8
  


• Zeros of Husimi Functions in Two-Spin Systems
  Helv. Phys. Acta 66 (1993) 903-4 / with N Regez and H Thomas


• Keeping Track of Chaos by Quantum-Nondemolition Measurements
  In: Quantum Chaos - Quantum Measurement, edited by P Cvitanovic, I Percival, A Wirzba NATO ASI Series C, Vol. 358. Dordrecht: Kluwer 1992, pp.131-8
  


• Stretching and Folding in the Configurational Quantum Cat Map
  In: Quantum Chaos, edited by HA Cerdeira, R. Ramaswamy, MC Gutzwiller, G Casati. Singapore: World Scientific 1991, pp. 323-32

Monographs

• Physics of Entangled States
  Proceedings of the IX. Séminaire Rhodanien, Do­lomieu, 2001, edited with R Arvieu
  Frontier Group, Paris 2001

Dictionary entries

• No-Cloning Theorem
  Quantum Chaos
  Quantum State Reconstruction
  In: Compendium of Quantum Physics: Concepts, Experiments, History and Philosophy, edited by D Greenberger, F Weinert, K Hentschel, and F Weinert,
  Springer 2009

Unpublished

• Topology, Squeezing, and Integrability in Quantum Systems
  Habilitationsschrift (Universität Basel)
  Basel, CH 1996
  

• On Classical Symmetry and Deterministic Randomness in Quantum Systems
  Dissertation (Universität Basel), Basel, CH 1990
  

• Zur Quantenmechanik offener Systeme
  Diplomarbeit (Rheinisch-Westfälische Hochschule Aachen), Aachen, D 1987

Publications

• quantum information
• PT symmetry
  
• state reconstruction
• quantum chaos
• mathematical physics


• all: 1991 - today
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