Authors: Heydari, Hoshang¹ hoshang@fysik.su.se

Superior Title: International Journal of Theoretical Physics. May2011, Vol. 50 Issue 5, p1486-1492. 7p.

Subject Terms: *NONCOMMUTATIVE differential geometry, *QUANTUM theory, *PROJECTIVE spaces, *HILBERT space, *PROJECTIVE differential geometry, *POLYNOMIALS, *HYPERSURFACES

Authors: Chamseddine, Ali H.^1,2 chams@aub.edu.lb, Connes, Alain^2,3,4 alain@connes.org

Superior Title: Communications in Mathematical Physics. Feb2010, Vol. 293 Issue 3, p867-897. 31p. 1 Diagram.

Subject Terms: *NONCOMMUTATIVE differential geometry, *GEOMETRY, *QUANTUM theory, *MATHEMATICAL physics, *HILBERT space

Authors: BHATT, S. J.¹, SHAH, MEETAL M.¹

Superior Title: Journal of the Australian Mathematical Society. Apr2016, Vol. 100 Issue 2, p145-162. 18p.

Subject Terms: *NONCOMMUTATIVE differential geometry, *LIPSCHITZ spaces, *SYMMETRIC operators, *HILBERT space, *NONCOMMUTATIVE algebras

Authors: Seo, Yuki¹ yukis@sic.shibaura-it.ac.jp

Superior Title: Linear Algebra & its Applications. Feb2013, Vol. 438 Issue 4, p1711-1726. 16p.

Subject Terms: *MATHEMATICAL inequalities, *NONCOMMUTATIVE differential geometry, *GENERALIZATION, *ARITHMETIC mean, *OPERATOR theory, *HILBERT space

Authors: Beggs, E.J.¹, Majid, S.² s.majid@qmul.ac.uk

Superior Title: Journal of Geometry & Physics. Jan2011, Vol. 61 Issue 1, p95-124. 30p.

Subject Terms: *NONCOMMUTATIVE differential geometry, *RIEMANNIAN geometry, *MODULES (Algebra), *DIFFERENTIAL forms, *OPERATOR theory, *QUANTUM groups, *ANALYSIS of covariance, *HILBERT space

Authors: Carey, Alan L.¹ acarey@maths.anu.edu.au, Phillips, John² phillips@math.uvic.ca, Rennie, Adam¹ adam.rennie@maths.anu.edu.au

Superior Title: Noncommutative Geometry & Physics 3 - Proceedings of the Noncommutative Geometry & Physics 2008, on K-Theory & D-Branes & Proceedings of the Rims Thematic Year 2010 on Perspectives in Deformation Quantization & Noncommutative Geometry. 2013, p37-57. 21p.

Subject Terms: *NONCOMMUTATIVE differential geometry, *HILBERT space, *VON Neumann algebras, *INDEX theory (Mathematics), *ATIYAH-Singer index theorem, *FREDHOLM operators

Authors: Farmany, A.¹ a.farmany@usa.com, Abbasi, S.¹, Darvishi, M.T.², Khani, F.³, Naghipour, A.¹ Naghipoura@yahoo.com

Superior Title: Chaos, Solitons & Fractals. Dec2009, Vol. 42 Issue 5, p2833-2835. 3p.

Subject Terms: *NONCOMMUTATIVE differential geometry, *QUANTUM field theory, *SYMMETRY (Physics), *HILBERT space, *GENERALIZABILITY theory, *MATHEMATICAL formulas, *MATHEMATICAL physics

Authors: Broek, Thijs T.vandenBroek@science.ru.nl, Suijlekom, Walter¹ waltervs@math.ru.nl

Superior Title: Communications in Mathematical Physics. Mar2011, Vol. 303 Issue 1, p149-173. 25p.

Subject Terms: *QUANTUM chromodynamics, *MANIFOLDS (Mathematics), *NONCOMMUTATIVE differential geometry, *SUPERSYMMETRY, *QUARKS, *FERMIONS, *HILBERT space

Authors: Iochum, Bruno

Superior Title: Geometric, Algebraic & Topological Methods For Quantum Field Theory - Proceedings of the 2011 Villa De Leyva Summer School; 2013, p3-59, 57p

Subject Terms: SPECTRAL geometry, MANIFOLDS (Mathematics), DIRAC operators, HEAT equation, ZETA functions, HILBERT space, NONCOMMUTATIVE differential geometry

Authors: Scholtz, F. G., Chakraborty, B.

Superior Title: Journal of Physics A: Mathematical & Theoretical; 3/1/2013, Vol. 46 Issue 8, p1-16, 16p

Subject Terms: SPECTRAL theory, TRIPLET state (Quantum mechanics), STATISTICAL mechanics, QUANTUM mechanics, HILBERT space, NONCOMMUTATIVE differential geometry

Authors: Iochum, B., Levy, C., Vassilevich, D. V.

Superior Title: Journal of Physics A: Mathematical & Theoretical; 9/21/2012, Vol. 45 Issue 37, p1-19, 19p

Subject Terms: GLOBAL analysis (Mathematics), SPECTRAL theory, NONCOMMUTATIVE differential geometry, FIELD theory (Physics), GEOMETRIC connections, GAUGE field theory, MATHEMATICAL models, OPERATOR theory, HILBERT space

Authors: Ćaćić, Branimir

Superior Title: Letters in Mathematical Physics; May2012, Vol. 100 Issue 2, p181-202, 22p

Subject Terms: SPECTRAL theory, MATHEMATICAL physics, HILBERT space, BAUM-Connes conjecture, NONCOMMUTATIVE differential geometry, DIRAC function

Authors: JORGENSEN, PALLE E. T., Bożejko, M.

Superior Title: Infinite Dimensional Analysis, Quantum Probability & Related Topics; Sep2011, Vol. 14 Issue 3, p419-442, 24p

Subject Terms: REPRESENTATIONS of Lie algebras, HILBERT space, NONCOMMUTATIVE differential geometry, MATHEMATICAL physics, QUANTUM statistics, TENSOR algebra, HARMONIC analysis (Mathematics)

Authors: Christensen, Erik, Ivan, Cristina

Superior Title: Communications in Mathematical Physics; Jan2009, Vol. 285 Issue 3, p925-955, 31p

Subject Terms: C*-algebras, HAUSDORFF measures, METRIC spaces, NONCOMMUTATIVE differential geometry, HILBERT space

Authors: Fu, Benyin¹ fuby@shfc.edu.cn, Wang, Xianjin² xianjinwang@cqu.edu.cn

Superior Title: Journal of Functional Analysis. Aug2016, Vol. 271 Issue 4, p799-832. 34p.

Subject Terms: *HILBERT space, *BANACH spaces, *BAUM-Connes conjecture, *NONCOMMUTATIVE differential geometry, *METRIC spaces