The fundamental equations of quantum mechanics

  title={The fundamental equations of quantum mechanics},
  author={Paul Adrien Maurice Dirac},
  journal={Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences},
  • P. Dirac
  • Physics
  • Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences
It is well known that the experimental facts of atomic physics necessitate a departure from the classical theory of electrodynamics in the description of atomic phenomena. This departure takes the form, in Bohr’s theory, of the special assumptions of the existence of stationary states of an atom, in which it does not radiate, and of certain rules, called quantum conditions, which fix the stationary states and the frequencies of the radiation emitted during transitions between them. These… Expand
To Principles of Quantum Theory Construction
New insight to the principles of the quantum theory construction is given. It is based on the symmetry study of main differential equations of mechanics and electrodynamics. It has been shown, thatExpand
Between classical and quantum
The relationship between classical and quantum theory is of central importance to the philosophy of physics, and any interpretation of quantum mechanics has to clarify it. Our discussion of thisExpand
On classical systems and measurements in quantum mechanics
  • E. Deumens
  • Mathematics
  • Quantum Studies: Mathematics and Foundations
  • 2019
The recent rigorous derivation of the Born rule from the dynamical law of quantum mechanics Allahverdyan et al. (Phys Rep 525:1–166., 2013) is taken asExpand
“The Heisenberg Method”: Geometry, Algebra, and Probability in Quantum Theory
The article explores the implications of the Heisenberg method and of the QPA principle for quantum theory, and for the relationships between mathematics and physics there, from a nonrealist or, in terms of this article, “reality-without-realism” or RWR perspective, defining the RWR principle. Expand
Dirac's equation and the nature of quantum field theory
This paper re-examines the key aspects of Dirac's derivation of his relativistic equation for the electron in order advance our understanding of the nature of quantum field theory. Dirac'sExpand
Alternative Hamiltonians and Wigner quantization
The Wigner problem, i.e. the investigation of general quantum mechanical commutation relations consistent with the Heisenberg evolution equations of a given shape, is studied. We follow a recentlyExpand
Foundations of quantum physics II. The thermal interpretation
The thermal interpretation of quantum physics gives new foundations that connect quantum physics (including quantum mechanics, statistical mechanics, quantum field theory and their applications) to experiment and improves the traditional foundations in several respects. Expand
A new look at the quantum mechanics of the harmonic oscillator
In classical mechanics the harmonic oscillator (HO) provides the generic example for the use of angle and action variables and I > 0 which played a prominent role in the “old” Bohr-Sommerfeld quantumExpand
Plotnitsky, Arkady A matter of principle: the principles of quantum theory, Dirac’s equation, and quantum
  • 2021
The article deals with the role of fundamental principles in theoretical physics, especially in the quantum theory. The fundamental principles of relativity are addressed as well, in view of theirExpand
Chasing individuation : mathematical description of physical systems
This work is a conceptual analysis of certain recent developments in the mathematical foundations of Classical and Quantum Mechanics which have allowed to formulate both theories in a commonExpand