Jan Raphael Høegh-Krohn (10 February 1938 – 24 January 1988) was a Norwegian mathematician.

Raphael Høegh-Krohn
Born10 February 1938
Died24 January 1988 (1988-01-25) (aged 49)
NationalityNorwegian
EducationPh.D, New York University
Alma materNew York University
Scientific career
FieldsMathematics
Doctoral advisorKurt Friedrichs
Doctoral studentsHelge Holden

He finished his Ph.D. in 1966, titled On Partly Gentle Perturbation with Application to Perturbation by Annihilation-Creation Operator, under the supervision of Kurt Friedrichs at the New York University.

He authored over 150 papers and is known for the discovery of a fundamental duality in relativistic quantum statistical mechanics by representing the basic correlation functions in terms of a certain stochastic process, now known as the Høegh-Krohn process.

Books

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  • Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge: Solvable models in quantum mechanics. Texts and Monographs in Physics. Springer-Verlag, New York, 1988.
  • Albeverio, Sergio; Høegh-Krohn, Raphael; Fenstad, Jens Erik; Lindstrøm, Tom: Nonstandard methods in stochastic analysis and mathematical physics. Pure and Applied Mathematics, 122. Academic Press, Inc., Orlando, FL, 1986.
  • Albeverio, S.; Gesztesy, F.; Høegh-Krohn, R.; Holden, H.: Solvable models in quantum mechanics. Second edition. With an appendix by Pavel Exner. AMS Chelsea Publishing, Providence, RI, 2005.
  • Albeverio, Sergio A.; Høegh-Krohn, Raphael J.: Mathematical theory of Feynman path integrals. Lecture Notes in Mathematics, Vol. 523. Springer-Verlag, Berlin-New York, 1976.
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