Correspondence of Marcel Riesz with Swedes. Part II. file: Riesz1.tex

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20 CONTENTS Translation: My Dear brother, It was really a surprise to see you in Copenhagen, it is only a pity that we could not have a chance to meet in quite and have a chat. You said something about my possible visit to Lund in order to present to the LMS a part of what I have been doing during the last years, which was then followed by a letter from the Society’s secretary telling me tha a piano had undermined their economy so that my talk has to wait for the time being. Well, for me the economical side does not play any major rôle, but it is good that it was postponed, because when I was back to Stockholm my entire filmtecnical laboratory had been spoiled. A heat element hade cracked, and for two days hot water had been spread all over walls, floor and ceiling so everything was destroyed, material valid more than 50,000 crowns was gone! So now I have plenty of things to think about. It would also had been interesting to hear about your impression of my talk with Bohr 8 and the ensuing discusion. Bohr did not seem to be convinced and emphasized indeed after the talk that he still was incredilous in front of the mysterious process, which inpart causes the spin of the top change sign, in part that it takes more time for the over turning on a smooth than on a rough basis. Regretfully he left immediately after his short discourse and instead his son 9 took over with hisi rather loose speach culminaring in a demonstration of the pivot motion of a tiptop with a displaced centre with a horisontal peg. When all was over and I was about to leave, Bohr came back and proposed that we should correspondera furthee about this and he taddes that he himself believed that it was lack of holonomity that made things so hard. As soon I came home to Sweden, I had first been to a meeting in Haag, I wrote to Bohr and communicated him more in detail about the resultats concerning the secret braking process that my theory leads to. Thus he got a formula which makes it possible to compute in a simple way, att, med kännedom knowing the fricktion coefficient/ of the 8 Niels Bohr (1885-1962), Danish physicist, a central figure in the shaping of modern atom theory, professor at Copenhagen University 1916–56, was aworded the Nobel Prize in physics in 1922 for his “merits about research of the structure of the atoms och the radiation emitting from them”. His importance lies, besides his own discoveries in physics, in decisive achievements in leading and inspiring other physicists. He also carried out a profound analysis of the epistomologic consequences of modern atomic physics . [114]. 9 Aage Bohr, b. 1922, Danish physicist, professor at Copenhagen University since 1956; son to Niels Bohr. B. continued his father’s work in theoretical physics and has contributed to that Copenhage has remainrf a centre for researcgh in nuclear physics in the whole world. In 1975, he recieved the Nobel prize in physics, together with Ben Mottelson and James Rainwater, “för the discovery of the connection between collective movements and particle movement in atom nuclei, and the development based on this of the theory of the structure of the atomic nucleus”. [114].
0.4. ALFRED LILJESTRÖM 21 basi and the data of the top, the time needed for the braking of the top. For I had read in the newspapers that Bohr during his visit to Lund had explained to the king that he was working for finding a formula to explain the motion of the top. This formula he obtained now from me and I was waiting with some curiousity what Bohr wuold reply. It took nearlt two months before the answer came and from it one could read off that it was my formula that had done it. Some remarks in his letter, which also inclosed one by his son, induced me to make, straight off, a summary of the neccecary facta in the matter. I inclose a copy of this letter here. For I know that, in Lund, one has discussed the top very intensely. That the interesest there has been great one can understand from that you and many other Swedes went over to Copenhagen to listen to my lecture. Please, help yourself! With hearty greetings Yours faithfully Alfred Liljeström 0.4.2 Letter to Niels Bohr Eknäs Nov 16, 1951 Eknäs, Björnlunda den 15.XI.51 Professor Niels Bohr København Ø Kära professor Bohr! Mottag mitt varma tack för Edert brev av den 9 ds, som jag igår fick mig eftersänt från KTH i Stockholm. Det beredde mig stor tillfredsställelse att beräkningen av min lilla formel fT = πC w 0 2mgR för sambandet mellan friktionskoefficient/en f och tiden T för inbromsningen av snurrans spin, åstadkommit en väsentlig förskjutning av Edra åsikter. Då är vi överens om att det fenomen som nu i snart ett år har brytt så många lärda mäns hjärnor, helt låter sig behärskas med den klassiska mekanikens formler. Någon mystik vidlåder inte längre inbromsningsprocessen som är av klart holonom karaktär. Att Ni “slet ikke forstor” hverledes jeg ”forbinder disse regniger med eventuelle nutationer”, föranleder mig på närmare förklaring av hur jag kommit till denna märkliga formel. Som Ni torde erinra Eder var avsikten med mitt Köpenhamnsföredrag att klarlägga växelverkan mellan friktionen och snurrans tröghetsegenskaper. Det meddelade jag uttryckligen i ett brev till Eder, när vi i vintras korresponderade om mitt besök. I Köpenhamn genomförde jag också detta program på
Page 1: Correspondence of Marcel Riesz with
Page 4 and 5: 4 CONTENTS 0.9.4 Extract from the A
Page 6 and 7: 6 CONTENTS 0.32.1 Letter Lund Jul 1
Page 8 and 9: 8 CONTENTS 1.13.1 To Hilma Jusander
Page 10 and 11: 10 CONTENTS 0.2 Nils Juringius and
Page 12 and 13: 12 CONTENTS lyckas med en undersök
Page 14 and 15: 14 CONTENTS 0.2.5 Letter Stockholm
Page 16 and 17: 16 CONTENTS 0.2.6 Letter Bromma Nov
Page 18 and 19: 18 CONTENTS Figure 1: Wolfgang Paul
Page 22 and 23: 22 CONTENTS så sätt att jag utgic
Page 24 and 25: 24 CONTENTS Dear Professor Bohr, Pl
Page 26 and 27: 26 CONTENTS With hearty greetings a
Page 28 and 29: 28 CONTENTS kunde få en fullmakt f
Page 30 and 31: 30 CONTENTS Mina hjärtligaste häl
Page 32 and 33: 32 CONTENTS U.B. innan Westberg res
Page 34 and 35: 34 CONTENTS Figure 2: Facsimile of
Page 36 and 37: 36 CONTENTS versitets matematiska s
Page 38 and 39: 38 CONTENTS Tillgifne vännen J. Ma
Page 40 and 41: 40 CONTENTS Figure 4: att ✷A = 0,
Page 42 and 43: 42 CONTENTS one, on the other hand/
Page 44 and 45: 44 CONTENTS 0.13.1 Card postal stam
Page 46 and 47: 46 CONTENTS Very truly Yours Erik N
Page 48 and 49: 48 CONTENTS problem för viskös v
Page 50 and 51: 50 CONTENTS Here we have for sure s
Page 52 and 53: 52 CONTENTS Figure 7: Facsimile of
Page 54 and 55: 54 CONTENTS 0.18 Elisabet Olbers 0.
Page 56 and 57: 56 CONTENTS För några dagar sedan
Page 58 and 59: 58 CONTENTS Hilbert så var det mej
Page 60 and 61: 60 CONTENTS i Uppsala, som inte sku
Page 62 and 63: 62 CONTENTS unfortunate attempt was
Page 64 and 65: 64 CONTENTS När du sålunda genoml
Page 66 and 67: 66 CONTENTS Figure 11: Youthful Åk
Page 68 and 69: 68 CONTENTS 0.24.1 Letter from Sonj
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70 CONTENTS 0.24.5 Letter to Åke
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72 CONTENTS Later we heard that Rie
Page 74 and 75:
74 CONTENTS själv uppträtt mest.
Page 76 and 77:
76 CONTENTS function k is allowed t
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78 CONTENTS Vi ha också betraktat
Page 80 and 81:
80 CONTENTS academic year. For the
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82 CONTENTS Leffler-frågan. Det vo
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84 CONTENTS Elfving, som är mina m
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86 CONTENTS San Fransisco. If the l
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88 CONTENTS saker så det har varit
Page 90 and 91:
90 CONTENTS Chow called, now to tel
Page 92 and 93:
92 CONTENTS 0.24.18 Letter to Åke
Page 94 and 95:
94 CONTENTS . . . on my initiative.
Page 96 and 97:
96 CONTENTS Odhnoff och jag slitit
Page 98 and 99:
98 CONTENTS in the beginning of Jun
Page 100 and 101:
100 CONTENTS 0.24.22 Letter May 5,
Page 102 and 103:
102 CONTENTS skulle Du inte kunna s
Page 104 and 105:
104 CONTENTS 0.25 Johan Prawitz 0.2
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106 CONTENTS Please, give regads to
Page 108 and 109:
108 CONTENTS 0.29 Agathe von Rosen
Page 110 and 111:
110 CONTENTS For she was so very si
Page 112 and 113:
112 CONTENTS • 2S 3 − 2(S 1 + S
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114 CONTENTS haft att ordna det 25-
Page 116 and 117:
116 CONTENTS in Nässjö. The mothe
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118 CONTENTS Broder! Det var mycket
Page 120 and 121:
120 CONTENTS Claes-Gösta Runquist
Page 122 and 123:
122 CONTENTS retire this year, and
Page 124 and 125:
124 CONTENTS Min far var telegrafit
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126 CONTENTS / har inte skett. Det
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128 CONTENTS to use them himself, a
Page 130 and 131:
130 CONTENTS also two sons that are
Page 132 and 133:
132 CONTENTS this is connected with
Page 134 and 135:
134 CONTENTS Figure 16: Postcard by
Page 136 and 137:
136 CONTENTS 0.32.2 Letter to Ravin
Page 138 and 139:
138 CONTENTS 0.34 Erik Stridsberg 0
Page 140 and 141:
140 CONTENTS Translation: A hearty
Page 142 and 143:
142 CONTENTS lic. Gårdings utredni
Page 144 and 145:
144 CONTENTS Beviset för att i β
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146 CONTENTS där E är energin. I
Page 148 and 149:
148 CONTENTS Dear Brother, Accordin
Page 150 and 151:
150 CONTENTS In the usual presentat
Page 152 and 153:
152 CONTENTS willingly as I, during
Page 154 and 155:
154 CONTENTS Faithfully yours J. A.
Page 156 and 157:
156 CONTENTS dx 1 , x 2 , . . . dx
Page 158 and 159:
158 CONTENTS Alltså är max Rf(z 1
Page 160 and 161:
160 CONTENTS Tillämpa vi detta på
Page 162 and 163:
162 CONTENTS for arbitrary complex
Page 164 and 165:
164 CONTENTS 2. Av ovanstående fra
Page 166 and 167:
166 CONTENTS Din tillgivne vän Olo
Page 168 and 169:
168 CONTENTS teater. Sedan börjar
Page 170 and 171:
170 CONTENTS tanken, att Du inte sk
Page 172 and 173:
172 CONTENTS pants for you, you had
Page 174 and 175:
174 CONTENTS Figure 17: Rolf Nevanl
Page 176 and 177:
176 CONTENTS i ) f(zs l i i ) = (P
Page 178 and 179:
178 CONTENTS I have then shown that
Page 180 and 181:
180 CONTENTS 0.41.2 Letter Linköpi
Page 182 and 183:
182 CONTENTS In view of the manner
Page 184 and 185:
184 CONTENTS Regretfully I had to s
Page 186 and 187:
186 CONTENTS som Du förelade mig i
Page 188 and 189:
188 CONTENTS 0.44.3 Letter Mar 15,
Page 190 and 191:
190 CONTENTS x = 1 2 . För φ(x) =
Page 192 and 193:
192 CONTENTS där a är ändlig ell
Page 194 and 195:
194 CONTENTS 0.46 Herbert Wikmanis
Page 196 and 197:
196 CONTENTS mich ist, habe ich ein
Page 198 and 199:
198 CONTENTS 0.48 Sven Wennberg 0.4
Page 200 and 201:
200 CONTENTS Folke Hagström Transl
Page 202 and 203:
202 CONTENTS icke motstå frestelse
Page 204 and 205:
204 CONTENTS 2. This proof presuppo
Page 206 and 207:
206 CHAPTER 1. LETTERS FROM MARCEL
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244 BIBLIOGRAPHY [10] Curt Ragnar B
Page 246 and 247:
246 BIBLIOGRAPHY [33] Karl Dickman:
Page 248 and 249:
248 BIBLIOGRAPHY [55] Harald Gepper
Page 250 and 251:
250 BIBLIOGRAPHY [82] Hopf: Die Rel
Page 252 and 253:
252 BIBLIOGRAPHY [108] Ülo Lumiste
Page 254 and 255:
254 BIBLIOGRAPHY [134] Henrik Petri
Page 256 and 257:
256 BIBLIOGRAPHY [156] Carl Ludwig
Page 258 and 259:
Index Ásgeirsson, Leifur, 85 AAker
Page 260 and 261:
260 INDEX Euler, 215 Euler, Leonard
Page 262 and 263:
262 INDEX Langer, Susanne K., 61 La
Page 264 and 265:
264 INDEX Pleijel. AAke, 64 Pleijel
Page 266:
266 INDEX Würzburg, 205 Wachtmeist
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