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Proceedings of the Royal Society of London A Mathematical and Physical Sciences

Memories of electrons in crystals

Felix Bloch

Published Jun 10, 1980• 12 citations
Publisher

Abstract

Abstract As a student in Zurich, it was my good fortune to be present at the colloquium in which Schrödinger told the first time about his wave mechanics. When both he and Debye accepted positions in Germany I decided upon the latter’s advice to continue my studies under Heisenberg in Leipzig, where I arrived in the autumn of 1927. Already in Zurich my interests had turned from experimental to theoretical physics, and particularly towards quantum mechanics, and before coming to Leipzig I had started some calculations on the radiation-damping of wave-packets. As the first thing, Heisenberg encouraged me to complete this work, later published in the Physikalische Zeitschrift, whereupon he considered me ready to start on a topic for my Ph.D. thesis.

DOI
10.1098/rspa.1980.0052

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Abstract As a student in Zurich, it was my good fortune to be present at the colloquium in which Schrödinger told the first time about his wave mechanics. When both he and Debye accepted positions in Germany I decided upon the latter’s advice to continue my studies under Heisenberg in Leipzig, where I arrived in the autumn of 1927. Already in Zurich my interests had turned from experimental to theoretical physics, and particularly towards quantum mechanics, and before coming to Leipzig I had started some calculations on the radiation-damping of wave-packets. As the first thing, Heisenberg encouraged me to complete this work, later published in the Physikalische Zeitschrift, whereupon he considered me ready to start on a topic for my Ph.D. thesis.
It is appropriate in this year, when we celebrate the 50th anniversary of quantum mechanics, and during which we have been saddened by the death of one of its leading founders, Werner Heisenberg, to reminisce about the formative years of the new mechanics. At the time when the foundations of physics were being replaced with totally new concepts I was a student of physics. I sat in the colloquium audience when Peter Debye made the suggestions to Erwin Schrödinger that started him on the study of de Broglie waves and the search for their wave equation. It was from Heisenberg, as his first doctorate student, that I caught the spirit of research, and that I received the encouragement to make my own contributions.
Abstract There is a certain similarity in the early lives of Planck and of Heisenberg [1,2]. Both had fathers who were professors at the University of Munich, both visited the Maximilians-Gymnasium in Munich, and both went to see a professor in Munich to seek advice for their studies. We have mentioned at the beginning of the Prologue how Jolly in vain tried to dissuade Planck from studying physics. Heisenberg, in his autobiographic book [3], which is devised as a series of conversations, tells us of a similar experience. In the autumn of 1920, when he was about to enter the university, his first choice was mathematics. He wanted not only to do course work but also learn about problems of current interest. This, he thought, he could do best by participating in a professor’s seminar usually reserved to advanced students and Ph.D. candidates. He asked for an interview with Lindemann , the most distinguished mathematician in Munich, who was famous for having proved that the number π is transcendental. But the old professor and the young student found no understanding, partly because Lindemann’s dog noisily interfered. The result was that Heisenberg opted for theoretical physics and went to ask Sommerfeld to be admitted to his seminar. Sommerfeld agreed. At that time Pauli, only a year older than Heisenberg, was already actively doing research under Sommerfeld. The two young men became life-long friends.
When Schrödinger returned from his summer holidays for the winter semester of the academic year 1925/26, he would have been quite unaware that he was on the verge of an outburst of creative activity that would change forever the world of physics. He had just reviewed and codified his personal world view and it was unlikely that his philosophical outlook would change in any revolutionary way. He had set down his belief in Vedanta and thus in Schopenhauer, through whom the Kantian a priori categories of space and time had been refurbished. During five carefree years in Switzerland, he had been insulated from both the hypocrisy of Vienna and the brutality of German politics. It would not be surprising if Swiss society, with its deep roots in economic security, had made him more conservative in other ways. His more unconventional beliefs, he kept to himself, and neither his inaugural lecture nor My World View was published at this time. Hermann Weyl once said that Schrödinger ‘did his great work during a late erotic outburst in his life’. His marriage with Anny was at a high point of disagreement and tension, with constant talk of breakup and divorce. Their Zürich circle provided ample opportunities for amorous adventures, and if Erwin cared to venture outside the usual academic liaisons, both Weyl and Debye were available as competent guides to the uninhibited night life of the city. Before the breakthrough The semester began on October 15, and Schrödinger had his usual heavy teaching schedule, five hours a week on Theory of Electricity, two hours on Theory of Spectra, a weekly seminar for the electricity course, and the joint seminar with E.T.H., which met for two hours every fortnight. Pieter Debye suggested that Erwin should give a seminar talk on the de Broglie thesis, which had just been published in Annales de Physique .
When schrödinger returned from his summer holidays for the winter semester of the academic year 1925/26, he would have been quite unaware that he was on the verge of an outburst of creative activity that would change forever the world of physics. He had just reviewed and codified his personal world view and it was unlikely that his philosophical outlook would change in any revolutionary way. He had set down his belief in Vedanta and thus in Schopenhauer, through whom the Kantian a priori categories of space and time had been refurbished. During five carefree years in Switzerland, he had been insulated from both the hypocrisy of Vienna and the brutality of German politics. It would not be surprising if Swiss society, with its deep roots in economic security, had made him more conservative in other ways. His more unconventional beliefs, he kept to himself, and neither his inaugural lecture nor My World View was published at this time. Hermann Weyl once said that schrödinger ‘did his great work during a late erotic outburst in his life’. His marriage with Anny was at a high point of disagreement and tension, with constant talk of breakup and divorce. Their zürich circle provided ample opportunities for amorous adventures, and if Erwin cared to venture outside the usual academic liaisons, both Weyl and Debye were available as competent guides to the uninhibited night life of the city. Before the breakthrough The semester began on October 15, and schrödinger had his usual heavy teaching schedule, five hours a week on Theory of Electricity, two hours on Theory of Spectra, a weekly seminar for the electricity course, and the joint seminar with E.T.H., which met for two hours every fortnight. Pieter Debye suggested that Erwin should give a seminar talk on the de Broglie thesis, which had just been published in Annales de Physique .
This book describes the many aspects of the life and scientific work of Erwin Schrödinger, who, perhaps more than anyone else, serves to represent the whole of modern physics. The contributions to the book are from many hands, and so it seemed useful to me to precede them with a short note giving an uncontroversial account of his life which will serve as a framework into which they can be fitted. Such a collection as this still leaves out many aspects of Schrödinger's thought, for it considers his philosophy only in passing, his poetry not at all and ignores his wide and deep interest in sculpture and painting and in the classics. Schrödinger was born in Vienna on August 12, 1887, and entered the University there to read physics in 1906. He worked there as an assistant from 1910 till his war service, and again after the war. Some short term appointments at Jena, Stuttgart and Breslau led up to his appointment to the chair of theoretical physics in Zürich in 1921. He was already treating a wide range of topics, but concentrating on atomic theory, for the old quantum theory had now entered on its heroic phase of final collapse. His six papers founding wave mechanics came at the end of his Zürich years, and in 1927 he went to the chair in Berlin, to remain there till the advent of Hitler in 1933.
Toward the end of the nineteenth century, it became clear that some experiments cannot be explained on the basis of known physics, now referred to as classical physics. In 1900, Max Planck was able to correctly describe the distribution of blackbody radiation energy as a function of wavelength λ or frequency ν = c/λ. He had to accept the existence of energy packets (quanta) with energy E = hν. A few years later, Albert Einstein found that this unexpected relation between energy and frequency is also necessary in order to understand photoemission from metallic surfaces. A decade later, Niels Bohr arrived at the correct equation for the electronic spectrum of the hydrogen atom by applying “quantum conditions” on the motion of the electron around the nucleus and the Planck’s relation E = hν on the energy difference between the energy levels (1916). A decade later, Heisenberg, Born, and Jordan introduced “quantum mechanics” and de Broglie and Schrödinger (1925-1926) introduced “wave mechanics.”