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1 day ago · It is a common view that von Neumann laid the foundations of a “non-commutative probability theory” with his axiomatization of quantum mechanics (QM). As such, it is regarded a generalization of the “classical probability theory” due to Kolmogorov. Outside of quantum physics, however, Kolmogorov’s axioms enjoy universal applicability.
1 day ago · Classical mechanics. The rules of quantum mechanics assert that the state space of a system is a Hilbert space and that observables of the system are Hermitian operators acting on vectors in that space – although they do not tell us which Hilbert space or which operators. These can be chosen appropriately in order to obtain a quantitative ...
2 days ago · Quantum mechanics [QM] is a branch of physics which describes physical systems so that properties like the energy or angular momentum are discrete quantities that are multiples of a smallest unit or quantum. A famous physicist named Erwin Schrödinger made an example of quantum mechanics, often called Schrödinger's cat. It illustrates what he saw as the problem of the Copenhagen ...
Apr 18, 2024 · 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.
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May 1, 2024 · Quantum Gravity Gets a New Test. A proposed experiment could bring scientists closer to answering the long-standing question of whether gravity is a classical or a quantum phenomenon. Lami and his colleagues suggest that the “quantumness” of gravity could be tested by carefully examining the gravity-induced dynamics of a quantum system of ...
Apr 29, 2024 · Quantum mechanics, or quantum physics, is the body of scientific laws that describe the wacky behavior of photons, electrons and the other subatomic particles that make up the universe.
Apr 15, 2024 · microscopic interpretation of macroscopic phenomena in quantum statistical mechanics. In particular, we discuss how various notions of entropy, proper and impropermixtures, and thermodynamics are understoodfrom the Bohmian perspective. Keywords: quantum statistical mechanics; Bohmian mechanics; probability cur-rent; open system 1 Introduction
