Zurich: a fateful location for two quantum pioneers

Walter Heitler (1904–1981) and Erwin Schrödinger (1887–1961). (Images: Carl Wolf/University of Vienna, Austrian Central Library for Physics, Erwin Schrödinger Archive, F33-RB-43; ETH Zurich University Archives)

While Wentzel and Pauli were based in Zurich for many years from 1928 onwards and left a lasting impression on this research hub, Schrödinger and Heitler spent a comparatively short stint in Zurich in the 1920s. Nevertheless, the period of time they spent in Zurich marked the most important turning point in both men’s lives.

It was here that Schrödinger achieved an epochal breakthrough with his theory of wave mechanics in 1925, making him one of the most important scientists of the 20th century. Shortly thereafter, Heitler, who held a scholarship under Schrödinger, successfully applied his theory to another field, laying the foundation for the emerging discipline of quantum chemistry.

This profile takes a look at these two very different individuals, who would later be reunited by fate and whose memories are now inextricably linked with the city of Zurich.

Erwin Schrödinger

Early years

Erwin Schrödinger (1887−1961) grew up as the only child in a well-to-do Viennese family. Thanks to his British grandmother, he was fluent in English from an early age, which later made it easier for him to flee to England to escape the Nazis.

At school, he demonstrated a great aptitude for mathematics and physics. He also loved poetry, ancient and modern languages, and drama. Even as a boy, Schrödinger was hostile to the Church and critical of the Bible, but he maintained a lifelong interest in religious, philosophical and spiritual questions.

War-related hyperinflation impoverished Schrödinger’s parents – an experience of loss that shaped his way of dealing with money and sparked his constant search for more lucrative jobs later on.

Erwin Schrödinger with his mother Georgine Emilia Brenda. (Image: Ludwig Grillich/University of Vienna, Austrian Central Library for Physics, Erwin Schrödinger Archive/shelf mark F226–107)

Walter Heitler

Early years

Walter Heitler (1904−1981) was born in Karlsruhe. His Bohemian father was an engineer from a poor Jewish family.

To the annoyance of his older sister Annerose, as a child Walter set up a chemical laboratory in the bathroom – and failed to keep a close enough eye on the chemical reactions. At school, he read books on the theory of relativity under the table, arousing the displeasure of his conservatively minded physics teacher. Greek and Latin dominated the curriculum, bringing Heitler into contact with Plato’s philosophy from an early age. This would stay with him throughout his life.

Walter Heitler with his sister Annerose. (Image: ETH Zurich University Archives)

Studies

Schrödinger studied physics and mathematics at the University of Vienna. His dissertation was titled ‘On the conduction of electricity on the surface of insulators in moist air’.

Schrödinger’s beloved teacher Fritz Hasenöhrl, a promising Austrian theoretical physicist, suffered a fatal head wound from a piece of shrapnel in 1915. Schrödinger also served in the war, which interrupted his academic career for four years and demanded a great deal from him both physically and mentally.

Physics Institute of the University of Vienna. (Image: Bernd Gross/Wikimedia Commons)

Studies

Heitler’s older brother Hans studied electrical engineering, while his sister became a doctor of economics. Walter Heitler himself found it difficult to decide on his career and remained torn between mathematics and chemistry for a long time. He only came across the existence of theoretical physics as a subject because this was mentioned to him personally.

He studied chemistry at the Technical University of Karlsruhe (now the Karlsruhe Institute of Technology) and physics in Berlin and Munich, where he received his doctorate in 1926 on a problem within the field of physical chemistry.

Heitler was a student of the physicist Arnold Sommerfeld, who attached great importance to independent thinking and creativity. At least six scientists under his tutelage won the Nobel Prize.

Karlsruhe Institute of Technology (Photo: © Thomas Riedel)

Research

Schrödinger is primarily known for his contributions to quantum mechanics, but he also conducted research into colour theory. Like Heitler, he also enjoyed teaching and publishing on cultural history, such as the history of the philosophy of ancient Greece.

Schrödinger’s ‘What is life?’ (1944) is a classic scientific work. In it, Schrödinger expresses a belief that genes control the development of cells with some kind of code. Although not always correct in terms of content, the text influenced the trajectory of an entire generation of researchers who later created the science of molecular genetics and discovered the structure of DNA.

Human chromosomes, which transport DNA in a compact form. (Image: Wessex Reg. Genetics Centre/Artstor, Wellcome Collection/CC BY 4.0)

Research

In addition to the Heitler-London theory presented in more detail below, Heitler also developed the Bethe-Heitler formula in collaboration with Hans Bethe. This describes how fast, charged particles lose energy as they fly through matter. Together with Homi J. Bhabha, Heitler created the cascade theory, which explains the development of electromagnetic showers in the atmosphere.

Heitler’s famous book The Quantum Theory of Radiation applies quantum mechanics to describe radiation processes. It immediately won great popularity amongst researchers around the world and is considered a classic reference work.

Although Heitler mastered the most demanding mathematical methods and calculations – and demanded the same from his employees – he rarely used them when teaching. Rather, as a lecturer, it was important to him to convey physics-related relationships to his students in a comprehensible way.

Drawing by Walter Heitler showing reactions of atomic nuclei. (Image: ETH Zurich University Archives)

Recognition

Glaciers, asteroids, lunar craters, public squares, roads, buildings and several science prizes have been named after Schrödinger. In addition to the Nobel Prize, he also received the Max Planck Medal. He was a member of the Pontifical Academy of Sciences, the British Royal Society, the Austrian Academy of Sciences and the Accademia Nazionale delle Scienze.

The Schrödinger lunar crater. (Image: NASA/Wikimedia Commons)

Recognition

Heitler received the Golden Medal from the Humboldt Society, honorary doctorates from the National University of Ireland as well as the Universities of Göttingen and Uppsala, the Max Planck Medal from the German Physical Society and the Swiss science prize Marcel Benoist. He was a member of the Royal Irish Academy, the German Academy of Sciences Leopoldina and the British Royal Society.

Heitler was also nominated for the Nobel Prize, but never won it – to the astonishment of certain contemporaries. However, he was permitted to attend the Lindau Nobel Laureate Conferences.

Max Planck Medal. (Image: © German Physical Society)

Personal life

Schrödinger had an open, childless marriage with his wife and had several daughters with other partners. His preference for much younger women is the subject of ongoing controversy.

He had an active lifestyle and enjoyed spending time with colleagues and friends. His hobbies included writing poetry and weaving rugs.

When it came to his work, Schrödinger was a lone wolf: he was significantly older than the other quantum mechanicists, dressed in eccentric clothing and showed no interest in training like-minded students. For his time, Schrödinger nominated an unusually large number of women for the Nobel Prize.

Schrödinger in Belgium, around 1939. (Image: provided by Brenner Forum together with Brenner Archive)

Personal life

Heitler’s colleagues described him as warm, helpful, understanding, humorous and kind, especially towards younger employees and students. He is said to have been reserved, sometimes almost dismissive when interacting with strangers.

Unlike Schrödinger, who essentially conducted his research alone, Heitler wrote all of his key works in collaboration with other physicists.

Away from his professional endeavours, he and his wife maintained close contact with Zurich’s artistic circles. Like Schrödinger, Heitler liked mountains and was a keen hiker and skier. This passion even influenced where he chose to live and work: his travels took him as far afield as Japan, India (as a guest professor), Russia and Columbia[A1] University in New York City.

Despite his many years spent working in Switzerland, he never acquired Swiss citizenship. Towards the end of his life, Heitler converted to Christianity.

Formal portrait of Heitler. (Image: Walter Stoneman/© National Portrait Gallery, London)

Death

In 1961, Schrödinger died in Vienna of tuberculosis at the age of 73. He was probably already suffering from this disease when he moved to Zurich in 1921. The official records state that the cause of death was a hardening of the arteries. In line with his wishes, he was buried in his beloved mountains, specifically in Alpbach, Tyrol. His wife received condolences from Heitler, Karl Popper, Bruno Kreisky and many eminent physicists such as Paul Dirac, Werner Heisenberg, Max Born and Lise Meitner.

Image: Schrödinger’s grave with the Schrödinger equation. (Image: © Wolfgang Morscher, www.SAGEN.at)

Death

Heitler’s faith gave him strength and comfort in dealing with the illness that marked his last years. He died at the age of 77 in November 1981; his wife survived him by almost 20 years. Heitler is buried in Witikon Cemetery.

Portrait of Heitler in old age. (Image: ETH Zurich University Archives)

Schrödinger at the University of Zurich

Schrödinger travelled to Zurich in 1921 to take up the Professorship of Theoretical Physics at the University, a post which had been vacant for seven years. Aged 34, he had not yet written any significant scientific works. Even over the next few years, there was no indication that Schrödinger would initiate a paradigm shift in physics in 1926 and bring the university global renown.

The city offered him stability in the midst of the turbulent post-war period, plus long-awaited financial security and the chance to follow in the footsteps of renowned predecessors such as Einstein. On sunny days, Schrödinger held his lectures on the shores of Lake Zurich, clad in swimming trunks and always carrying an improvised blackboard with him. Although he suffered from tuberculosis and often had to deal with illness and exhaustion, students liked his teaching style. While many lecturers were still reading their scripts verbatim, Schrödinger spoke – and wrote his calculations – off the cuff. He also organised social gatherings, which were known for their exuberant atmosphere.

‘Zurich superstition’: Schrödinger’s wave mechanics


Where did we get that from? Nowhere. It's not possible to derive it from anything you know. It came out of the mind of Schrödinger.’ 

Nobel Laureate Richard Feynman

In 1924, French nobleman Louis de Broglie presented a bold but unproven thesis to the somewhat perplexed Parisian Faculty of Natural Sciences: all matter has wave properties. Schrödinger, immediately fascinated by this, set out to develop a comprehensive theory. His breakthrough came in 1925 during his Christmas skiing holiday in Arosa. Schrödinger sent his paper ‘Quantisation as an eigenvalue problem’ to the editors of the journal Annalen der Physik in January. The text contained his famous wave equation, later also called the Schrödinger equation.

The equation represents the mathematical heart of wave mechanics, which Schrödinger developed over the course of just a few months. Wave mechanics enables the energy states of electrons in atoms to be precisely calculated and can thus predict their behaviour.

Schrödinger’s answer to Wolfgang Pauli’s pointed remark that his wave mechanics is mere superstition has been lost to history. However, the comment does not criticise Schrödinger’s calculations, but only Schrödinger’s interpretation of his own theory.

The Heitler-London theory

23-year-old Heitler was inspired by Schrödinger’s publication (‘everyone was,’ said Heitler himself) and, thanks to a scholarship, travelled to his home in Zurich in early 1927. He hoped that Schrödinger would provide him with ideas for his research and professional support, but only received invitations for convivial weekend trips to the countryside and joint skiing holidays. His collaboration in Zurich with fellow scholarship-holder Fritz London, with whom he immediately struck up a rapport, became much more important.

Heitler struggled with the foehn wind in Zurich. During a particularly pronounced foehn storm, he was unable to concentrate for hours, slept through the afternoon and was suddenly startled awake by an image of hydrogen molecules, wave functions and electron exchange in front of his eyes. He called London, who stopped by immediately. Driven by a frenzy of creativity, they worked late into the night. The next day, their Heitler-London theory – the first successful quantum mechanical explanation of a chemical bond – was largely complete. Their article would soon be published in the journal Zeitschrift für Physik.

Goodbye, Zurich – and a reunion

Schrödinger’s wave mechanics and the Heitler-London theory immediately sparked enthusiasm in the world of physics due to their mathematical elegance, explanatory power and broad scope of application.

To the likely disappointment of many students, Schrödinger soon left for the US, where he would give 50 lectures over the course of several months. He then departed Zurich as a celebrated star and headed for Berlin, together with London, who had been promoted to the role of his assistant. Heitler became Max Born’s assistant and later professor at Göttingen, the leading centre of quantum physics.

As a Jew, Heitler was dismissed from his position in 1933 and fled to England. Schrödinger was classified by the Nazis as ‘politically unreliable’ and ‘friendly to Jews’, which is why he emigrated to Dublin in 1939. Two years later – now Director of the Dublin Institute for Advanced Studies – he brought Heitler to his institution. During the war, Heitler fell in love for the first time, married a biologist and became Schrödinger’s successor, but he missed the vast forests of his homeland, the Alps and German-speaking culture.


Schrödinger’s appreciation of Heitler is made clear in a letter to Max Born:

‘Since Heitler has been here for some time now, I feel obliged to thank you, in particular, for recommending him so strongly. He is an extremely valuable asset in every respect. Scientifically, he is at least equal to his “milk brother” London (I mean this brotherhood in terms of its first great achievement), but he is incomparably superior to him as a person and as a teacher. In fact, he has a wonderful gift for understanding other people’s difficulties and objections.’

Letter dated 5 October 1941


Heitler’s ‘turn to the humanities’: philosophy, religion and quantum physics


‘After Hitler’s war, the United States held very great prestige, including morally. In a matter of minutes, it was destroyed. […]
What became of physics – my science – what became of the physicists!’

Quote from Heitler’s memoirs

Although he was now an Irish citizen, Heitler returned to the city of Zurich after the end of the war and remained there until his death. For a quarter of a century, he headed up the Institute of Theoretical Physics at the University, published and lectured, but physics was increasingly becoming a science of death for him. He met Japanese radiation victims and was disturbed by the political, military and economic appropriation of physics. The idea of a purely materialistic, soulless world, in which the divine has no place, felt incomplete and alien to him.

He vehemently defended his convictions publicly, be it at panel discussions in the town hall or in newspaper interviews. His publications, such as Naturwissenschaft ist Geisteswissenschaft (‘Natural science is spiritual science’), Naturphilosophische Streifzüge (‘A foray through natural philosophy’), Die Natur und das Göttliche (‘Nature and the divine’) and Wahrheit und Richtigkeit in den exakten Naturwissenschaften (‘Truth and correctness in the exact natural sciences’), also demonstrate his commitment. His most successful book on this subject was Der Mensch und die naturwissenschaftliche Erkenntnis (‘Man and Science’).

Legacy: Schrödinger, Heitler and Zurich today

In the ‘Schrödinger’s cat’ thought experiment, a cat is placed in a chamber with a lethal device. Only when the chamber is re-opened can you determine whether the trap has killed the cat. As long as it remains closed, the cat is considered dead and alive at the same time. (Image: Ruth Bründler/University of Zurich; Yiwen Chu/ETH Zurich)

Ironically, it was not the Schrödinger equation that found its way into pop culture, but his cat. Its presence in literature, film, music and internet memes illustrates how closely science and culture can overlap. Today, it is seen as a symbol of ambiguity and uncertainty in everyday situations.

With his thought experiment about the cat, Schrödinger was criticising a certain interpretation of quantum mechanics, which he was hostile to throughout his life. This interpretation asserts, among other things, that quantum mechanical particles are in several possible states at the same time as long as they are not observed. Schrödinger wanted to show how absurd this principle looks when applied directly to everyday things.

Nowadays, Zurich’s relationship with Schrödinger is straightforward: guided city tours visit the places where he lived and worked, and his house at Huttenstrasse 9 is a minor tourist attraction. Nothing comparable exists for Heitler.


Irina Morell, historian and employee of Universitätsbibliothek Zürich, Natural Sciences
June 2025

From the end of June 2025 onwards, the Physics Institute at the University of Zurich will be hosting the exhibition ‘Quantum Century – Zurich and the birth of quantum mechanics’ at the Universitätsbibliothek, Natural Sciences. 

 

Header image: Schrödinger with Pauli, Heisenberg, Einstein, Max Born and Louis de Broglie at the Solvay Conference of 1927. (Colourised by Sanna Dullaway, photograph by Benjamin Couprie, Institut International de Physique Solvay, courtesy of AIP Emilio Segrè Visual Archives)

 

Acknowledgements & sources

The author would like to thank Mr Axel Rasche for the generous provision of information and kind support in connection with the estate of Walter Heitler.

Unless otherwise noted, all quotations are from the source edition Eine Entdeckung von ganz ausserordentlicher Tragweite: Schrödingers Briefwechsel zur Wellenmechanik und zum Katzenparadoxon (‘A discovery of exceptional significance: Schrödinger’s correspondence on wave mechanics and the cat paradox’) and Walter Heitler’s unpublished memoirs.