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  2. Mathematical formulation of quantum mechanics - Wikipedia

    en.wikipedia.org/wiki/Mathematical_formulation...

    The phenomenology of quantum physics arose roughly between 1895 and 1915, and for the 10 to 15 years before the development of quantum mechanics (around 1925) physicists continued to think of quantum theory within the confines of what is now called classical physics, and in particular within the same mathematical structures.

  3. Quantum Mechanics (book) - Wikipedia

    en.wikipedia.org/wiki/Quantum_Mechanics_(book)

    The book has also been suggested as a complement to simplified introductory books in quantum mechanics. [ 3 ] Experimental physicist and 2022 Nobel laureate in Physics Alain Aspect , has frequently mentioned that the book was a revelation early in his career, helping him better understand the research papers of quantum mechanics and the work of ...

  4. AdS/CFT correspondence - Wikipedia

    en.wikipedia.org/wiki/AdS/CFT_correspondence

    The application of quantum mechanics to physical objects such as the electromagnetic field, which are extended in space and time, is known as quantum field theory. [15] In particle physics , quantum field theories form the basis for our understanding of elementary particles, which are modeled as excitations in the fundamental fields.

  5. Quantum mechanics - Wikipedia

    en.wikipedia.org/wiki/Quantum_mechanics

    Quantum mechanics is a fundamental theory that describes the behavior of nature at and below the scale of atoms. [2]: 1.1 It is the foundation of all quantum physics, which includes quantum chemistry, quantum field theory, quantum technology, and quantum information science. Quantum mechanics can describe many systems that classical physics cannot.

  6. Born rule - Wikipedia

    en.wikipedia.org/wiki/Born_rule

    The Born rule is a postulate of quantum mechanics that gives the probability that a measurement of a quantum system will yield a given result. In one commonly used application, it states that the probability density for finding a particle at a given position is proportional to the square of the amplitude of the system's wavefunction at that position.

  7. Correspondence principle - Wikipedia

    en.wikipedia.org/wiki/Correspondence_principle

    Introductory quantum mechanics textbooks suggest that quantum mechanics goes over to classical theory in the limit of high quantum numbers [15]: 27 or in a limit where the Planck constant in the quantum formula is reduced to zero, . [10]: 214 However such correspondence is not always possible. For example, classical systems can exhibit chaotic ...

  8. Planck postulate - Wikipedia

    en.wikipedia.org/wiki/Planck_postulate

    The Planck postulate (or Planck's postulate), one of the fundamental principles of quantum mechanics, is the postulate that the energy of oscillators in a black body is quantized, and is given by E = n h ν , {\displaystyle E=nh\nu \,,}

  9. Ehrenfest theorem - Wikipedia

    en.wikipedia.org/wiki/Ehrenfest_theorem

    Dirac's rule of thumb suggests that statements in quantum mechanics which contain a commutator correspond to statements in classical mechanics where the commutator is supplanted by a Poisson bracket multiplied by iħ. This makes the operator expectation values obey corresponding classical equations of motion, provided the Hamiltonian is at most ...