Harald J. W. Mueller-Kirsten

Harald J.W. Mueller-Kirsten (born 1935) is a German Theoretical Physicist specializing in Quantum field theory, Quantum mechanics and Mathematical physics. He is known for his work on Asymptotic expansions of Mathieu functions, spheroidal wave functions, Lamé functions and ellipsoidal wave functions and their eigenvalues, Asymptotic expansions of Regge poles for Yukawa potentials, Eigenvalue and level-splitting formula for double-well potentials, Path integral method applied to anharmonic and periodic potentials, discovery that for anharmonic and periodic potentials the equation of small fluctuations around the classical solution is a Lamé equation, derivation of S-matrix and absorptivity for the singular potential (cf. modified Mathieu equation) and application to string theory, construction and quantization of gauge theory models, canonical quantization using Dirac bracket formalism in Hamiltonian formulation, BRST quantization and Faddeev-Jackiw quantization of field theory models with constraints and Supersymmetry.[2]

Harald J.W. Mueller-Kirsten
H.J.W. Müller-Kirsten
Born (1935-05-19) May 19, 1935
Halle (Saale), Germany
NationalityGerman
Alma materUniversity of Western Australia
Known forAsymptotic expansions of Functions of mathematical physics and their eigenvalues, Quantum field theory, Periodic instantons, Supersymmetry
Scientific career
FieldsTheoretical Physics
Doctoral advisorRobert Balson Dingle[1]
Doctoral studentsArmin Wiedeman, Usha Kulshreshtha, Frank Zimmerschied

Education and career

Müller-Kirsten obtained the B.Sc. (First Class Honours) in 1957 and the Ph.D. in 1960 from the University of Western Australia in Perth, where his doctoral advisor was Robert Balson Dingle.[3] Thereafter he was postdoc at the Ludwig Maximilians University in Munich (Institute of F. Bopp) and obtained the habilitation there in 1971. Müller-Kirsten was an assistant professor at the American University of Beirut in 1967, NATO-Fellow at the Lawrence Radiation Laboratory in Berkeley in 1970, and Max-Kade-Foundation Fellow at SLAC, Stanford in 1974–75. In 1972 he was appointed Wissenschaftlicher Rat and professor (H2) at the University of Kaiserslautern, then their university professor (C2) and in 1995 university professor (C3).

Research achievements
  1. Asymptotic expansions of Mathieu functions, spheroidal wave functions, Lamé functions and ellipsoidal wave functions and their eigenvalues.[4]
  2. Asymptotic expansions of Regge poles for Yukawa potentials (in agreement with Langer-corrected WKB calculations).[5]
  3. Eigenvalue and level-splitting formula for double-well potentials.[6]
  4. Path integral method applied to anharmonic and periodic potentials.[7]
  5. Discovery that for anharmonic and periodic potentials the equation of small fluctuations around the classical solution is a Lamé equation.[8]
  6. Derivation of S-matrix and absorptivity for the singular potential (cf. modified Mathieu equation) and application to string theory.[9]
  7. Construction and quantization of gauge theory models, canonical quantization using Dirac bracket formalism in Hamiltonian formulation, BRST quantization of field theory models,[10] Faddeev–Jackiw quantization of systems with constraints,[11]

Significant collaborators
  • Robert Balson Dingle, FRSE (Ph.D. advisor, later University of St. Andrews)
  • Jiu-Qing Liang (Shanxi University, Taiyuan)
  • Jian-Zu Zhang (University of Science and Technology, Shanghai)
  • Dae Kil Park (Kyungnam University, Changwon)
  • Daya Shankar Kulshreshtha (University of Delhi, Delhi)
  • Yan-Gang Miao (Nankai University, Tianjin)
  • Jian-Ge Zhou (Jackson State University, Jackson)
  • D.H. Tchrakian (Institute for Advanced Studies, Dublin)
  • Ruben Manvelyan (Institute of Physics, Yerevan)
  • Usha Kulshreshtha (Kiori Mal College, University of Delhi, Delhi)

Books
  • with Armin Wiedemann: Supersymmetry, An Introduction with Conceptual and Calculational Details, World Scientific, Singapore, 1987, ISBN 9971-5-0354-9, 2nd ed.as Introduction to Supersymmetry (=World Scientific Lecture Notes in Physics, Nr. 80), loc. cit. 2010, ISBN 978-981-4293-41-9.
  • Electrodynamics, An Introduction including Quantum Effects, World Scientific, Hackensack NJ, 2004, ISBN 981-238-807-9, 2nd ed. Electrodynamicsloc. cit. 2011, ISBN 978-981-4340-73-1.
  • Introduction to Quantum Mechanics: Schrödinger Equation and Path Integral, World Scientific, Singapore, 2006, ISBN 981-256-692-9, 2nd ed., World Scientific, Hackensack, NJ, 2012, ISBN 978-981-4397-73-5.
  • Classical Mechanics and Relativity, World Scientific, Hackensack NJ, 2008, ISBN 978-981-283-251-1.
  • Basics of Statistical Physics, A Bachelor Degree Introduction, World Scientific, Hackensack NJ, 2010, ISBN 978-981-4287-22-7, 2nd ed. as Basics of Statistical Physics, loc.cit. 2013, ISBN 978-981-4449-53-3.

Outside of physics

In his book Rätsel Wahrheit[12] (Puzzle Truth) Müller-Kirsten deals with university and society related topics such as the university as a competitive society and problems of freedom of speech and opinion.

References
  1. https://www.rse.org.uk/cms/files/fellows/obits_alpha/dingle_robert.pdf
  2. Harald J. W. Mueller-Kirsten and Armin Wiedeman, "Introduction to Supersymmetry" (2nd Edition) (World Scientific Lecture Notes in Physics, No. 80) 2nd ed.(2010)
  3. https://www.rse.org.uk/cms/files/fellows/obits_alpha/dingle_robert.pdf
  4. R.B. Dingle and H.J.W. Müller, J. reine angew. Math. 211 (1962) 11–32, 216 (1964) 123–133; H.J.W. Müller, J. reine angew. Math. 211 (1962) 33.47, 211 (1962) 179–190, 212 (1963) 26–48; H.J.W. Müller, Math. Nachr. 31 (1966) 89–101, 32 (1966) 49–62, 32 (1966) 157–374.
  5. H.J.W. Müller, Ann. d. Phys. (Leipzig) 15 (1965) 395–411.; H.J.W. Müller and K. Schilcher, J. Math. Phys. 9 (1968) 255–259.
  6. H.J.W. Müller-Kirsten, Introduction to Quantum Mechanics: Schrödinger Equation and Path Integral, World Scientific Singapore, 2nd ed., 2012, ISBN 978-981-4397-73-5, pp. 524–527; J.-Q. Liang and H.J.W. Müller-Kirsten, Anharmonic Oscillator Equations: Treatment Parallel to Mathieu Equation, quant-ph/0407235; P. Achuthan, H.J.W. Müller-Kirsten and A. Wiedemann, Fortschr. Physik 38 (1990) 77.
  7. J.-Q. Liang and H.J.W. Müller-Kirsten, Phys. Rev. D46 (1992) 4685, D50 (1994) 6519, D51 (1995) 718.
  8. J.-Q. Liang, H.J.W. Müller-Kirsten and D.H. Tchrakian, Phys. Lett. B282 (1992) 105.
  9. H.H. Aly, H.J.W. Müller-Kirsten and N. Vahedi-Faridi, J. Math. Phys. 16 (1975) 961; R. Manvelyan, H.J.W. Müller-Kirsten, J.-Q. Liang and Yunbo Zhang, Nucl. Phys. B579 (2000) 177, hep-th/0001179; D.K. Park, S.N. Tamaryan, H.J.W. Müller-Kirsten and Jian-Zu Zhang, Nucl. Phys. B594 (2001) 243, hep-th/0005165.
  10. Usha Kulshreshtha, Daya Shankar Kulshreshtha, Harald J.W. Mueller-Kirsten, ``Gauge invariant O(N) nonlinear sigma model(s) and gauge invariant Klein–Gordon theory: Wess–Zumino terms and Hamiltonian and BRST formulations``, Helv. Phys. Acta 66 (1993) 752–794; ``A Gauge invariant theory of chiral bosons: Wess–Zumino term, Hamiltonian and BRST formulations``, Zeit. Phys. C 60 (1993) 427–431.
  11. Daya Shankar Kulshreshtha, Harald J.W. Mueller-Kirsten, ``Quantization of systems with constraints: The Faddeev–Jackiw method versus Dirac's method applied to superfields``, Phys. Rev. D43 (1991) 3376–3383; ``Faddeev-Jackiw quantization of selfdual fields``, Phys. Rev. D 45 (1992) 393–397.
  12. H.J.W. Müller-Kirsten, Rätsel Wahrheit, Haag+Herchen Verlag, 2017, ISBN 978-3-89846-783-4.
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