This monograph combines a thorough introduction to the mathematical foundations of n-body Schrodinger mechanics with numerous new results. Originally published in 1971. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Now that we have reached the centennial of Erwin Schrodinger's seminal paper introducing the wavefunction theory of matter, it is right and proper to inquire as to its legacy. It is undeniable that today every paper in atomic physics cites his 1926 equation in the first paragraph. But the philosophy undergirding the wavefunction seems to have fallen into the shadows. And Schrodinger left his program incomplete. I will argue here that recent developments in nonlinear mathematics, including so-called "chaos theory", permit finishing the task. It turns out that one nonlinear addition to his equation from 1926 can resolve both the Measurement Problem and the Randomness Problem. With this emendation, the wavefunction alone suffices to explain the outcomes of many experiments (and it is particles that can be relegated to the shadows).
The riddle of consciousness materialism and physicalism - a tale of two isms functionalism neuroscience Einstein and the identity theory how unified is consciousness? state space the refutation of physicalism the problem of perception Berkeley, Russell and the inscrutability of matter states and observables the paradox of Schrodinger's cat quantum mechanics and the conscious observer could the brain be a quantum computer? time and mind Descartes's legacy - mind and meaning, science and scepticism.