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Gunnar Källén

Gunnar Källén is a physics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Gunnar Källén rather than just read about it. In short: Anders Olof Gunnar Källén (13 February 1926 – 13 October 1968) was a Swedish theoretical physicist and professor at Lund University, known for his work on correlation functions in quantum field theory. He died at the age of 42 as a result of a plane crash.

Key takeaways

  • Gunnar Källén belongs to physics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Gunnar Källén to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Gunnar Källén from memory before moving on to harder problems.

Reference excerpt

Anders Olof Gunnar Källén (13 February 1926 – 13 October 1968) was a Swedish theoretical physicist and professor at Lund University, known for his work on correlation functions in quantum field theory. He died at the age of 42 as a result of a plane crash.

Biography Anders Olof Gunnar Källén was born in 1926 in Kristianstad, Sweden. His father, Yngve Källén, was a teacher of physics and mathematics, and together they published a paper on the theory of relativity. Gunnar's brother was the embryologist Bengt Källén. Källén earned his doctorate at Lund in 1950 working with Torsten Gustafson, who was in close correspondence with Wolfgang Pauli. He worked at CERN's theoretical division from 1952 to 1957, which, at that time, was situated at the Institute for Theoretical Physics of the University of Copenhagen, later to be named Niels Bohr Institute. Afterwards he worked at Nordita from 1957 to 1958, and then began a professorship at Lund University. Källén's research focused on quantum field theory and elementary particle physics. His developments included the so-called Källén–Lehmann spectral representation of correlation functions in quantum field theory, and he made contributions to quantum electrodynamics, especially in renormalization. He also worked with the axiomatic formulation of quantum field theory, which led to contributions to the theory of functions of several complex variables, and collaborated on the Pauli–Källén equation. The Källén function, as well as the Källén–Yang–Feldman formalism and the Källén-Sabry potentials are named after him.

Plane crash Källén was an avid pilot, who, being fascinated by flying from his childhood on, started taking lessons in 1964. He was flying a Piper PA-28 Cherokee Arrow from Malmö to CERN when his plane crashed during an emergency landing in Hanover, Germany in 1968. His two passengers, one of them his wife, survived the crash. Many years after his death, Cecilia Jarlskog edited the book Portrait of Gunnar Källén: A Physics Shooting Star and Poet of Early Quantum Field Theory (Springer, 2013) with 9 invited contributors, all of whom had a personal acquaintance with Källén. The book consists mainly of testimonies by Källén's colleagues. Steven Weinberg, whose first published physics paper was motivated by Källén, wrote one of the book's chapters. The chapter deals with Källén's research and is the written version of a 2009 lecture by Weinberg.

Bibliography G. Källén, Quantenelektrodynamik, Handbuch der Physik (Springer-Verlag, Berlin, 1958) G. Källén, Elementary Particle Physics (Addison-Wesley, Reading, Massachusetts, 1964) G. Källén, Quantum Electrodynamics (Springer-Verlag, Berlin, 1972); 2013 pbk reprint

References

Further reading A. S. Wightman. Gunnar Källén 1926–1968, Comm. Math. Phys. 11 (1968) 181–182 C. Jarlskog (ed.) "Portrait of Gunnar Källén : A physics shooting star and poet of early quantum field theory" (Springer Verlag, ISBN 978-3-319-00627-7, 2014)

Worked examples

Example 1 — a first encounter with Gunnar Källén

Start with the simplest possible case. Write down what Gunnar Källén claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In physics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Gunnar Källén before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Gunnar Källén ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Gunnar Källén

In research
Gunnar Källén appears in physics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Gunnar Källén in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Gunnar Källén is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1926 births, 1968 deaths, Academic staff of Lund University, so understanding it makes those chapters shorter.
In everyday life
Look for Gunnar Källén outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Gunnar Källén in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Gunnar Källén means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Gunnar Källén out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Gunnar Källén in simple terms?

Anders Olof Gunnar Källén (13 February 1926 – 13 October 1968) was a Swedish theoretical physicist and professor at Lund University, known for his work on correlation functions in quantum field theory. He died at the age of 42 as a result of a plane crash.

Why does Gunnar Källén matter?

Because it connects several physics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Gunnar Källén?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Gunnar Källén.

Tags

  • 1926 births
  • 1968 deaths
  • Academic staff of Lund University
  • Aviators killed in aviation accidents or incidents in Germany
  • Members of the Royal Swedish Academy of Sciences
  • People associated with CERN
  • People from Kristianstad
  • Swedish physicists
  • Theoretical physicists
  • Victims of aviation accidents or incidents in 1968

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