The title? (one of Dirac's books)

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The discussion centers on identifying a book by Paul Dirac that addresses non-local hidden variables and their implications for quantum theory. Participants suggest "Lectures on Quantum Mechanics" and "Principles of Quantum Mechanics" as potential titles. The conversation highlights the relationship between non-local hidden variables and nonlinear quantum theory, referencing the decoupling of the Schrödinger equation and mentioning concepts like Bohmian Mechanics and De Broglie Pilot Wave theory.

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  • Understanding of quantum mechanics principles
  • Familiarity with Dirac's contributions to physics
  • Knowledge of the Schrödinger equation
  • Awareness of Bohmian Mechanics and De Broglie Pilot Wave theory
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  • Research "Principles of Quantum Mechanics" by Paul Dirac
  • Explore "Bohmian Mechanics" for insights on non-local hidden variables
  • Study the decoupling of the Schrödinger equation into real equations
  • Investigate the implications of nonlinear quantum theory
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Physicists, quantum mechanics students, and researchers interested in the foundations of quantum theory and the implications of non-local hidden variables.

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the title?? (one of Dirac's books)

Two months ago, I talked with an old foreign professor about the non-local hidden variable. He was very interested in it. He said he had read one of Dirac’s books years ago. It says if the non-local hidden variable exists, then the quantum theory is nonlinear.
Unfortunately I didn’t note the title of the book and now I forget it.
Does someone know it?
Looking for your help.
Best wishes.
Thank you.
 
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Probably "lectures on quantum mechanics", but I haven't read it myself. He didn't write that many books, so it should be easy to find. He did write a good many papers, of course.
 
"Principles of Quantum Mechanics" was the textbook that he wrote. I don't know if this is what you're looking for though. Interestingly, I heard that this was the standard text in the universities for many years.
 
There is a way of decoupling the complex Schroedinger equation into an equivalent set of two real equations, and this allows for the possibility of non-local hidden variables, but this theory is nonlinear. Search for "Bohmian Mechanics" or "De Broglie Pilot Wave."
 
Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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