8 votes

Use of eigenvalues of operators in quantum mechanics

Comments to answer: the question is hard to answer because, there is more than one question and more than a way to interpret it. If the question is when discrete values and eigenvalues were introduced ...
Mauricio's user avatar
  • 3,897
6 votes

Math concepts introduced by physicists and made rigorous later

Ok, at least as a place-holder: Much of Euler's work. :) George Green's 1828 idea now called "Green's function". The "Sturm-Liouville equation" thing, c. 1830, was very good, but ...
paul garrett's user avatar
  • 1,064
4 votes

Use of eigenvalues of operators in quantum mechanics

The story is long and quite complicated. Here is a very short and necessarily incomplete sketch. It begins with experimental observations about atomic spectra. The main fact is that each atom has some ...
Alexandre Eremenko's user avatar
4 votes
Accepted

What did Quine say on paradox and physics?

See "On what there is" (1948) reprinted into From a Logical Point of View, page 19 of the 2nd revised edition of 1961: "An antinomy arose between the undular and the corpuscular ...
Mauro ALLEGRANZA's user avatar
4 votes

Math concepts introduced by physicists and made rigorous later

The prime example is Newton's Calculus. The notions of limit, convergent series, derivative and integral were made rigorous (to our modern standard) only in 19th century. In Newton's time, even the ...
Alexandre Eremenko's user avatar
3 votes

Math concepts introduced by physicists and made rigorous later

Leibniz applied his infinitesimal calculus to solve numerous problems that today would be considered elementary physics. Several such applications are analyzed by McDonough in his book Jeffrey K. ...
Mikhail Katz's user avatar
  • 5,772
2 votes

Math concepts introduced by physicists and made rigorous later

Wavelets were first studied by physicists in the 1970s. Their study by mathematicians took off in the 1980s. Some work decades earlier by Haar, a mathematician, can be viewed as belonging to the study ...
KCd's user avatar
  • 5,617
1 vote

How did Henry Cavendish deduce the inverse square law in electrostatics from his experiment in 1772?

The previous posters wrote a nice excerpt about the history of finding the electrostatic inverse law of charges. For a more scientifically explanation I recommend the following paper Falconer: "...
abu_bua's user avatar
  • 111

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