Jan Raphael Høegh-Krohn (10 February 1938 – 24 January 1988) was a
Norwegian mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
.
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
New York University (NYU) is a private university, private research university in New York City, New York, United States. Chartered in 1831 by the New York State Legislature, NYU was founded in 1832 by Albert Gallatin as a Nondenominational ...
.
He authored over 150 papers and is known for the discovery of a fundamental duality in relativistic
quantum statistical mechanics
Quantum statistical mechanics is statistical mechanics applied to quantum mechanical systems. It relies on constructing density matrices that describe quantum systems in thermal equilibrium. Its applications include the study of collections o ...
by representing the basic correlation functions in terms of a certain
stochastic process, now known as the Høegh-Krohn process.
Books
*
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
Standardization (American English) or standardisation (British English) is the process of implementing and developing technical standards based on the consensus of different parties that include firms, users, interest groups, standards organiza ...
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.
External links
*
1938 births
1988 deaths
Academic staff of the University of Oslo
20th-century Norwegian mathematicians
People from Ålesund
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