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  1. Stochastic mechanics is the framework concerned with the construction of such stochastic processes that generate a probability measure for quantum mechanics. For a Brownian motion, it is known that the statistical fluctuations of a Brownian particle are often induced by the interaction of the particle with a large number of microscopic particles.

  2. The de Broglie–Bohm theory, also known as the pilot wave theory, Bohmian mechanics, Bohm's interpretation, and the causal interpretation, is an interpretation of quantum mechanics. It postulates that in addition to the wavefunction, an actual configuration of particles exists, even when unobserved. The evolution over time of the configuration ...

  3. A state which can be represented as a wave function / ket in Hilbert space / solution of Schrödinger equation is called pure state. See "mixed state". Quantum numbers. a way of representing a state by several numbers, which corresponds to a complete set of commuting observables.

  4. The Copenhagen interpretation is a collection of views about the meaning of quantum mechanics, stemming from the work of Niels Bohr, Werner Heisenberg, Max Born, and others. [1] While "Copenhagen" refers to the Danish city, the use as an "interpretation" was apparently coined by Heisenberg during the 1950s to refer to ideas developed in the ...

  5. Modern Quantum Mechanics, often called Sakurai or Sakurai and Napolitano, is a standard graduate-level quantum mechanics textbook written originally by J. J. Sakurai and edited by San Fu Tuan in 1985, with later editions coauthored by Jim Napolitano. Sakurai died in 1982 before he could finish the textbook and both the first edition of the book ...

  6. Purity (quantum mechanics) In quantum mechanics, and especially quantum information theory, the purity of a normalized quantum state is a scalar defined as. where is the density matrix of the state and is the trace operation. The purity defines a measure on quantum states, giving information on how much a state is mixed .

  7. The book was originally published in German in 1932 by Julius Springer, under the title Mathematische Grundlagen der Quantenmechanik. [2] An English translation by Robert T. Beyer was published in 1955 by Princeton University Press . A Russian translation, edited by N. Bogolyubov, was published by Nauka in 1964.

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