Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Mathematical Physics

Schrödinger operators in the twentieth century

Barry Simon A

Published Jun 1, 2000• 133 citations
Publisher

Abstract

This paper reviews the past fifty years of work on spectral theory and related issues in nonrelativistic quantum mechanics.
DOI
10.1063/1.533321

Related papers

ERWIN SCHRÖDINGER (1887–1961)

J D Hey

SUMMARY In this article, written to commemorate the centenary of Schrödinger's birth, the life and major areas of intellectual activity of one of the giants of twentieth-century physics are reviewed under the following headings: early years, Louis de Broglie, wave mechanics, quantum mechanics, the Nobel Prize, paradoxes, relativity and field theory, contributions to biology, science in relation to ancient thought and philosophy, and the final years.

Transactions of the Royal Society of South Africa•Jan 1, 1989•1 citation

The Theory of Schrodinger Operators: What's It All About?

Barry Simon A

Study of the Hamiltonian operators of nonrelativistic quantum mechanics contributes to both mathematics and physics.

•May 1, 1985•3 citations

Teoria quântica, física nuclear e filosofia grega: ensaio sobre os físicos filósofos do século XX

Vinícius Carvalho da Silva

At the beginning of the twentieth century it would be unthinkable, among european scientists, to separate natural science and philosophy. Physicists-philosophers were scientists such as Einstein, Bohr, Heisenberg, Schrödinger, among others, who refounded physics by laying the foundations of quantum mechanics and special and general relativity. In this paper we briefly review how some of these thinkers have looked at the issues of the value of science, the relationship between science and philosophy, and the importance of Greek philosophy to nuclear physics and quantum theory.

Griot Revista de Filosofia•Jun 18, 2017•0 citations

Spectral Theory and Quantum Mechanics

Valter Moretti

Unitext•Jan 1, 2017•61 citations

Philosophy and Physics in the Discussions between Bohr and Einstein

Р. А. Аронов, B. Ia. Pakhomov

Niels Bohr was born on October 7, 1885. He was one of the great innovators in physical science in the twentieth century. It so happens that 1985 also marks fifty years since the long discussions, which had begun in the 1920s between Albert Einstein and Bohr on the philosophical problems of quantum physics, attained their apogee. An article co-authored by Einstein, B. Podolsky, and N. Rosen, "Can Quantum Mechanics Be Considered a Complete Description of Physical Reality?,"1 was published in 1935 in the journal Physical Review. According to Bohr, "by virtue of its clarity and, it would seem, flawless argumentation, the work of Einstein, Podolsky, and Rosen has created excitement among physicists and played a great role in the discussion of general philosophical questions of physics."2 Precisely as a result of the publication of this article, the critical position of Einstein concerning quantum mechanics became known to a broader circle of physicists. (Prior to this not many physicists had participated in the discussions.)3 In the same year, Bohr responded to Einstein and his co-authors with an article under the same title.4

Soviet Studies in Philosophy•Oct 1, 1986•3 citations

Spectral Theory and Quantum Mechanics: With an Introduction to the Algebraic Formulation

Valter Moretti

•Feb 7, 2013•28 citations
At the beginning of the twentieth century it would be unthinkable, among european scientists, to separate natural science and philosophy. Physicists-philosophers were scientists such as Einstein, Bohr, Heisenberg, Schrödinger, among others, who refounded physics by laying the foundations of quantum mechanics and special and general relativity. In this paper we briefly review how some of these thinkers have looked at the issues of the value of science, the relationship between science and philosophy, and the importance of Greek philosophy to nuclear physics and quantum theory.
Niels Bohr was born on October 7, 1885. He was one of the great innovators in physical science in the twentieth century. It so happens that 1985 also marks fifty years since the long discussions, which had begun in the 1920s between Albert Einstein and Bohr on the philosophical problems of quantum physics, attained their apogee. An article co-authored by Einstein, B. Podolsky, and N. Rosen, "Can Quantum Mechanics Be Considered a Complete Description of Physical Reality?,"1 was published in 1935 in the journal Physical Review. According to Bohr, "by virtue of its clarity and, it would seem, flawless argumentation, the work of Einstein, Podolsky, and Rosen has created excitement among physicists and played a great role in the discussion of general philosophical questions of physics."2 Precisely as a result of the publication of this article, the critical position of Einstein concerning quantum mechanics became known to a broader circle of physicists. (Prior to this not many physicists had participated in the discussions.)3 In the same year, Bohr responded to Einstein and his co-authors with an article under the same title.4