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, structure, space, models, and change.
History
On ...
.
He finished his
Ph.D.
A Doctor of Philosophy (PhD, Ph.D., or DPhil; Latin: or ') is the most common degree at the highest academic level awarded following a course of study. PhDs are awarded for programs across the whole breadth of academic fields. Because it is a ...
in 1966, titled ''On Partly Gentle Perturbation with Application to Perturbation by Annihilation-Creation Operator,'' under the supervision of
Kurt Friedrichs
Kurt Otto Friedrichs (September 28, 1901 – December 31, 1982) was a noted German-American mathematician. He was the co-founder of the Courant Institute at New York University, and a recipient of the National Medal of Science.
Biography
Friedri ...
at the
New York University
New York University (NYU) is a private research university in New York City. Chartered in 1831 by the New York State Legislature, NYU was founded by a group of New Yorkers led by then-Secretary of the Treasury Albert Gallatin.
In 1832, the ...
.
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. In quantum mechanics a statistical ensemble (probability distribution over possible quantum states) is described by a density operator ''S'', which is a ...
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 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
{{Europe-mathematician-stub