Wigner's Sisters
Y. S. Kim
Department of Physics, University of Maryland,
College Park, Maryland 20742, U.S.A.
(written in 1995)
Aabstract: Paul A. M. Dirac was a great physicist. Wigner used to call him "my famous brother-in-law." How did they become brothers-in-law? Did these two great physicists have the same view toward physics?
I have been asked by the organizers of this Symposium to write about Eugene Wigner's life. Yes, he was a great physicist and was a great human being. I have been fortunate enough to have been associated with him especially in his late years. However, it will require years of full-time research to write his biography if anyone decides to do so. In the meantime, there is a an excellent book about him entitled "Recollections of Eugene P. Wigner as told by Andrew Szanton" [1].
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Eugene Wigner with his parents and two sisters. On his right is Manci Dirac. |
E. P. Wigner's noteworthy paper [Ann. Math. {\bf 40}, 149-204 (1939)] was the source of inspiration for the authors when writing this book. There is also a remarkable trace of some of Dirac's papers in the book.
According to this review, I am in a position to say something about Wigner and his brother-in-law whose name was Paul Adrien Maurice Dirac. When I was visiting Wigner frequently during the period 1985--90, he had two sisters living in the United States. They were all born in Hungary in a well-to-do family. His elder sister was in Binghamton (New York), and his younger sister was and still is in Tallahassee (Florida). The elder sister's health was deteriorating, and Wigner was always concerned about her and talking about her. The younger sister's name is Margit Dirac or Mrs. Paul A. M. Dirac. She is known as Manci in the physics community. One day when I was in Wigner's office at Princeton, he made a telephone call to Manci in order to say "Happy Birthday" to her. After a brief talk in Hungarian, Wigner laughed and told me Manci was complaining that his call disrupted her shopping trip. He then told me how she became Mrs. Dirac.
Manci was married to a very wealthy man in Hungary. However, at that time in Hungary or perhaps in other parts of the world, it was not uncommon for a wealthy man to have several wives (though not formally allowed).
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Princeton's Annex Restaurant on Nassau Street |
I met Mrs. Manci Dirac 1978 in Miami (Florida) while attending one of the Coral Gables conferences. I had a burning question to her husband, and I abruptly joined their "husband-wife" conversation in the lobby of the hotel where the conference participants were staying. After I finished the conversation with Paul Dirac, Manci asked me where I came from originally. I told her I came from Korea in 1954 right after high-school graduation. She then told me that I must have been there during the Korean Conflict (1950--53). After I said Yes to her, she asked me how I felt about the result of the inconclusive war which left the country divided. It was quite clear to me that she was extending to a man from Korea her sympathy toward Hungary which is also prone to invasion and dominance by foreign powers, and I gave my appropriate answer to her. While she was talking, I also watched her husband who was a great physicist. He looked amused but did not show any emotion.
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Michael's Diner in Trenton (New Jersey) used to be the favorite family restaurant for the Wigners. It has an excellent salad bar for those who believe in healthy food. |
Eugene Wigner also used to make his views known, and it is well known that not everybody agreed with him on the issues having to do with the communist world. Yet, I have to point out that he told me many many times Mikhail Gorbachev is a great man. Wigner always wanted to live peacefully with the people on the other side of the Iron Curtain. He had a distaste for the communist regime in Hungary, but his passion for his native country was so strong that I had to contact the science attache of the Hungarian Embassy in Washington.
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Ambassador Hazi awarding the academy membership to Wigner |
Let us go back to Manci. I told her that I was invited to the memorial convocation held at Florida State University (Tallahassee) for Paul A. M. Dirac in November of 1984 and I went there. But I was not able to spot her. I asked her where she was at that time. Her answer was that she was so sad that she did not want to show her depressed face to others. Indeed, she was talking like Queen Elizabeth or Margaret Thatcher. It is quite fortunate for the physics community that Manci took good care of our respected Paul A. M. Dirac. Dirac published eleven papers during the period 1939-46. It is not clear whether he knew Europe went through World War II. In either case, Dirac was able to maintain his normal research productivity only because Manci was in charge of everything else.
On the other hand, we were not fortunate enough to have Manci as a physicist. This is particularly so because there is a gap between Dirac's approach and Wigner's approach to physics even though they had the same ultimate goal in physics. Manci could have filled this gap if she had been born as a physicist. What was then their common goal? Dirac and Wigner both had a distaste for renormalization procedure, and therefore they did not accept the present form of quantum field theory as the ultimate theory. Yet, both of them believed that the uncertainty principle should someday be made consistent with special relativity if not general relativity [6].
During the period 1985--90, Wigner was keenly interested in approaching this problem by constructing representations of the Poincar\'e group using quantum phase-space distribution functions which are widely known as Wigner functions. Dirac, on the other hand, believed that fundamental laws in physics should appear as beautiful mathematics. His publication list indicates clearly that he was quite fond of building relativistic models using harmonic oscillators [7-9]. I was indeed fortunate to be able to explains to Wigner what Dirac did, and he used to enjoy listening to me.
Dirac wrote a number of papers on the Lorentz group. His best known paper on this subject is entitled "Forms of Relativistic Dynamics" and is in the special issue of the "Reviews of Modern Physics" dedicated to Einstein's 70th birthday in 1949 [10]. In this paper, Dirac writes down the commutation relations, which he calls the Poisson brackets, for the generators of the Poincar\'e group, and states that "the problem of finding a new dynamical system reduces to the problem of finding a new solutions of these equations." This is exactly what Wigner proposed in his 1939 paper on the "Inhomogneous Lorentz Group " [11]. Dirac's "instant form" and "front form" can be connected to Wigner's O(3)-like and E(2)-like little groups for massive and massless particles respectively [2]. As I said earlier in this report, I had a "burning question" to Dirac in 1978 simply because I wanted to understand Dirac's 1949 paper [10] in terms of Wigner's representation theory. Dirac of course gave me his clear answers in terms of what he said in his own papers, but he was not familiar with the papers written on the same subject by his "famous brother-in-law."
It is somewhat frustrating to note that these two "great brothers-in-law" did not have much communication with each other in physics. On the other hand, I was able to find many homework problems from this gap, and this is why I was able to write my first book. This will explain why Del Olmo made a remark about Dirac's influence on my book with Noz [2,3]. But this story is not restricted to me or to my book. The communication gap between these two great physicists offers a great challenge to many young physicists. Try to establish a bridge between Dirac and Wigner. It may become a very profitable enterprise.
- A. Szanton, "The Recollection of Eugene P. Wigner" (Plenum, New York, 1992).
- Y. S. Kim and M. E. Noz, "Theory and Applications of the Poincar\'e" Group} (Reidel, Dordrecht, 1986).
- M. A. del Omo, Math. Rev. {88a}, 160 (1988).
- Hungary is a Christian country which does not allow more than one wife.
- The Annex restaurant is located on Nassau Street across from the Firestone Library of Princeton University. This restaurant had a different name before 1949.
- M. E. Noz and Y. S. Kim, "Special Relativity and Quantum Theory," Edited Volume consisting of Wigner's papers, Dirac's papers, and others (Kluwer, Dordrecht, 1988).
- P. A. M. Dirac, "Quantum Electrodynamics, Comm. Dublin Inst. Adv. Stud." ser. A, No.1 (1943).
- P. A. M. Dirac, Proc. Roy. Soc. (London) {A183}, 284 (1945).
- P. A. M. Dirac, J. Math. Phys. {4}, 901 (1963).
- P. A. M. Dirac, Rev. Mod. Phys. {21}, 392 (1949).
- E. P. Wigner, Ann. Math. {40}, 149 (1939).
From the preface of the Proceedings of the 4th International Wigner Symposium, edited by N. M. Atakishiyev, T. H. Seligman, and K. B. Wolf (World Scientific, Singapore, 1996).