Honorary Senior Lecturer

Dr Hendrik Grundling

Science
School of Mathematics & Statistics

Research Interests:

Mathematical Physics and C*-algebras, with particular emphasis on the following topics:

• Quantum Constraints,
• Quantum Field Theory,
•  Quantum Gauge Theory,
•  Quantization issues.
• Group Algebras for groups which are not locally compact.

Honours coordinator for Pure Mathematics

Phone
9385 7104
E-mail
Location
School of Mathematics and Statistics University of New South Wales Sydney NSW 2052 The Red Centre Room 5104
• Book Chapters | 2015
Buchholz D; Grundling H, 2015, 'Quantum Systems and Resolvent Algebras', in Lecture Notes in Physics, Springer Berlin Heidelberg, pp. 33 - 45, http://dx.doi.org/10.1007/978-3-662-46422-9_2
Book Chapters | 1986
Grundling H; Hurst CA, 1986, 'Algebraic Structures of Degenerate Systems, Physical Requirements and the Indefinite Metric', in Symmetries in Science II, Springer US, pp. 217 - 223, http://dx.doi.org/10.1007/978-1-4757-1472-2_17
• Journal articles | 2020
Beltiţă D; Grundling H; Neeb K-H, 2020, 'Covariant representations for possibly singular actions on $C^*$-algebras', Dissertationes Mathematicae, vol. 549, pp. 1 - 94, http://dx.doi.org/10.4064/dm793-6-2019
Journal articles | 2020
Grundling H; Neeb K-H, 2020, 'Crossed products of C*-algebras for singular actions with spectrum conditions', Journal of Operator Theory, vol. 84, pp. 369 - 451, http://dx.doi.org/10.7900/jot.2019jun14.2265
Journal articles | 2018
Grundling H; Neeb K-H, 2018, 'Erratum: "Full regularity for a C*-algebra of the canonical commutation relations"', Reviews in Mathematical Physics, vol. 30, pp. 1792002 - 1792002, http://dx.doi.org/10.1142/s0129055x17920027
Journal articles | 2017
Grundling H; Rudolph G, 2017, 'Dynamics for QCD on an Infinite Lattice', Communications in Mathematical Physics, vol. 349, pp. 1163 - 1202, http://dx.doi.org/10.1007/s00220-016-2733-5
Journal articles | 2014
Grundling H; Neeb K-H, 2014, 'Crossed products ofC⁎-algebras for singular actions', Journal of Functional Analysis, vol. 266, pp. 5199 - 5269, http://dx.doi.org/10.1016/j.jfa.2014.01.022
Journal articles | 2013
Buchholz D; Grundling HB, 2013, 'Lie algebras of derivations and resolvent algebras', Communications in Mathematical Physics, vol. 320, pp. 455 - 467, http://dx.doi.org/10.1007/s00220-012-1567-z
Journal articles | 2013
Grundling H; Neeb K-H, 2013, 'Infinite tensor products of $C_0(\mathbb{R})$: towards a group algebra for $\mathbb{R}^{(\mathbb{N})}$', Journal of Operator Theory, vol. 70, pp. 311 - 353, http://dx.doi.org/10.7900/jot.2011aug22.1930
Journal articles | 2013
Grundling HB; Rudolph G, 2013, 'QCD on an Infinite Lattice', Communications in Mathematical Physics, vol. 318, pp. 717 - 766, http://dx.doi.org/10.1007/s00220-013-1674-5
Journal articles | 2010
Grundling HB; Neeb K, 2010, 'Localization via automorphisms of the CARs. Local gauge invariance', Letters in Mathematical Physics, vol. 93, pp. 169 - 185
Journal articles | 2009
GRUNDLING H; NEEB K-H, 2009, 'FULL REGULARITY FOR A C*-ALGEBRA OF THE CANONICAL COMMUTATION RELATIONS', Reviews in Mathematical Physics, vol. 21, pp. 587 - 613, http://dx.doi.org/10.1142/s0129055x09003670
Journal articles | 2009
Grundling HB; Neeb K, 2009, 'Full regularity for a c*-algebra of the canonical commutation relations', Reviews In Mathematical Physics, vol. 21, pp. 587 - 613
Journal articles | 2008
Buchholz D; Grundling HB, 2008, 'The resolvent algebra: A new approach to canonical quantum systems', Journal of Functional Analysis, vol. 254, pp. 2725 - 2779, http://dx.doi.org/10.1016/j.jfa.2008.02.011
Journal articles | 2008
Grundling H, 2008, 'Generalising group algebras', Journal of the London Mathematical Society, vol. 77, pp. 270 - 271, http://dx.doi.org/10.1112/jlms/jdm112
Journal articles | 2007
Buchholz D; Grundling HB, 2007, 'Algebraic supersymmetry: A case study', Communications in Mathematical Physics, vol. 272, pp. 699 - 750
Journal articles | 2006
Grundling HB, 2006, 'Quantum constraints', Reports on Mathematical Physics, vol. 57, pp. 97 - 120
Journal articles | 2005
Baumgaertel H; Grundling HB, 2005, 'Superselection in the presence of constraints', Journal of mathematical physics, vol. 46, pp. 082303
Journal articles | 2005
Grundling HB, 2005, 'Generalising Group Algebras', Journal of the London Mathematical Society - Second Series, vol. 72, pp. 742 - 762
Journal articles | 2004
Carey AL; Grundling HB, 2004, 'On the problem of the amenability of the gauge group', Letters in Mathematical Physics, vol. 68, pp. 113 - 120
Journal articles | 2000
Gotay MJ; Grabowski J; Grundling HB, 2000, 'An obstruction to quantizing compact symplectic manifolds', Proceedings of the American Mathematical Society, vol. 128, pp. 237 - 243, http://dx.doi.org/10.1090/s0002-9939-99-05007-8
Journal articles | 2000
Grundling HB; Lledo F, 2000, 'Local quantum constraints', Reviews In Mathematical Physics, vol. 12, pp. 1159 - 1218
Journal articles | 1998
Grundling HB; Hurst CA, 1998, 'Constrained dynamics for quantum mechanics. I. Restricting a particle to a surface', Journal of mathematical physics, pp. 3091 - 3119
Journal articles | 1997
Gotay M; Grundling HB, 1997, 'On quantizing T*S1', Reports on Mathematical Physics, vol. 40, pp. 107 - 123
Journal articles | 1997
Grundling HB, 1997, 'A group algebra for inductive limit groups. Continuity problems of the canonical commutation relations', ACTA Applicandae Mathematicae, pp. 107 - 145
Journal articles | 1996
Gotay M; Grundling HB; Hurst CA, 1996, 'A Groenewold-Van hove theorem for S2', Transactions of the American Mathematical Society, pp. 1579 - 1597
Journal articles | 1996
Gotay M; Grundling HB; Tuynman G, 1996, 'Obstruction results in quantization theory', Journal of Nonlinear Science, vol. 6, pp. 469 - 498, http://dx.doi.org/10.1007/BF02440163
Journal articles | 1995
Carey AL; Grundling HB; Hurst CA; Langmann E, 1995, 'Realizing 3-cocycles as obstructions', Journal of mathematical physics, pp. 2605 - 2620
Journal articles | 1995
Carey AL; Grundling HB; Raeburn I; Sutherland CE, 1995, 'Group actions on C*-algebras, 3-cocycles and quantum field theory', Communications in Mathematical Physics, vol. 168, pp. 389 - 416, http://dx.doi.org/10.1007/BF02101555
Journal articles | 1993
Grundling H; Hurst CA, 1993, 'The operator quantization of the open bosonic string: Field algebra', Communications in Mathematical Physics, vol. 156, pp. 473 - 525, http://dx.doi.org/10.1007/bf02096861
Journal articles | 1989
Grundling H; Hurst CA, 1989, 'The quantum theory of second class constraints: Kinematics', Communications in Mathematical Physics, vol. 122, pp. 527 - 529, http://dx.doi.org/10.1007/bf01238438
Journal articles | 1988
Grundling H, 1988, 'Systems with outer constraints. Gupta-Bleuler electromagnetism as an algebraic field theory', Communications in Mathematical Physics, vol. 114, pp. 69 - 91, http://dx.doi.org/10.1007/bf01218289
Journal articles | 1988
Grundling H; Hurst CA, 1988, 'A note on regular states and supplementary conditions', Letters in Mathematical Physics, vol. 15, pp. 205 - 212, http://dx.doi.org/10.1007/bf00398589
Journal articles | 1988
Grundling H; Hurst CA, 1988, 'The quantum theory of second class constraints: Kinematics', Communications in Mathematical Physics, vol. 119, pp. 75 - 93, http://dx.doi.org/10.1007/bf01218261
Journal articles | 1987
Grundling H, 1987, 'Algebraic structure of degenerate systems', Bulletin of the Australian Mathematical Society, vol. 36, pp. 341 - 344, http://dx.doi.org/10.1017/s0004972700026629
Journal articles | 1987
Grundling H; Hurst CA, 1987, 'Algebraic structures of degenerate systems and the indefinite metric', Journal of Mathematical Physics, vol. 28, pp. 559 - 572, http://dx.doi.org/10.1063/1.527641
Journal articles | 1985
Grundling HBGS; Hurst CA, 1985, 'Algebraic quantization of systems with a gauge degeneracy', Communications in Mathematical Physics, vol. 98, pp. 369 - 390, http://dx.doi.org/10.1007/BF01205789
• Preprints | 2018
Grundling H; Neeb K-H, 2018, Crossed products of C^*-algebras for singular actions with spectrum conditions
Preprints | 2017
Beltita D; Grundling H; Neeb K-H, 2017, Covariant representations for possibly singular actions on C*-algebras
Preprints | 2012
Grundling H; Neeb K-H, 2012, Crossed products of C*-algebras for singular actions
Preprints | 2010
Grundling H; Neeb K-H, 2010, Infinite Tensor Products of C_0(R): Towards a Group Algebra for R^\infty
Preprints | 2010
Grundling H; Neeb K-H, 2010, Localization via Automorphisms of the CARs. Local gauge invariance
Preprints | 2006
Grundling H; Neeb K-H, 2006, Full regularity for a C*-algebra of the Canonical Commutation Relations. (Erratum added)
Preprints | 2004
Baumgaertel H; Grundling H, 2004, Superselection in the presence of constraints
Preprints | 1998
Grundling H; Lledo F, 1998, Local Quantum Constraints
Preprints | 1997
Gotay MJ; Grabowski J; Grundling HB, 1997, An Obstruction to Quantizing Compact Symplectic Manifolds
Preprints | 1997
Gotay MJ; Grundling HB, 1997, Nonexistence of Finite-dimensional Quantizations of a Noncompact Symplectic Manifold
Preprints | 1996
Gotay MJ; Grundling HB, 1996, On Quantizing $T^*S^1$
Preprints | 1996
Gotay MJ; Grundling HB; Tuynman GM, 1996, Obstruction Results in Quantization Theory
Preprints | 1995
Gotay MJ; Grundling H; Hurst CA, 1995, A Groenewold-Van Hove Theorem for S^2