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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. List of textbooks on classical mechanics and quantum ...

    en.wikipedia.org/wiki/List_of_textbooks_on...

    Leonard I. Schiff (1968) Quantum Mechanics McGraw-Hill Education; Davydov A.S. (1965) Quantum Mechanics Pergamon ISBN 9781483172026; Shankar, Ramamurti (2011). Principles of Quantum Mechanics (2nd ed.). Plenum Press. ISBN 978-0306447907. von Neumann, John (2018). Nicholas A. Wheeler (ed.). Mathematical Foundations of Quantum Mechanics ...

  4. Path integral formulation - Wikipedia

    en.wikipedia.org/wiki/Path_integral_formulation

    The path integral formulation is a description in quantum mechanics that generalizes the stationary action principle of classical mechanics.It replaces the classical notion of a single, unique classical trajectory for a system with a sum, or functional integral, over an infinity of quantum-mechanically possible trajectories to compute a quantum amplitude.

  5. List of equations in quantum mechanics - Wikipedia

    en.wikipedia.org/wiki/List_of_equations_in...

    A fundamental physical constant occurring in quantum mechanics is the Planck constant, h. A common abbreviation is ħ = h /2 π , also known as the reduced Planck constant or Dirac constant . Quantity (common name/s)

  6. Bra–ket notation - Wikipedia

    en.wikipedia.org/wiki/Bra–ket_notation

    In quantum mechanics, a quantum state is typically represented as an element of a complex Hilbert space, for example, the infinite-dimensional vector space of all possible wavefunctions (square integrable functions mapping each point of 3D space to a complex number) or some more abstract Hilbert space constructed more algebraically.

  7. 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 ...

  8. Quantum Theory: Concepts and Methods - Wikipedia

    en.wikipedia.org/wiki/Quantum_Theory:_Concepts...

    N. David Mermin wrote that Peres had bridged the "textual gap" between conceptually-oriented books, aimed at understanding what quantum physics implies about the nature of the world, and more practical books intended to teach how to apply quantum mechanics. Mermin found the book praiseworthy, noting that he had "only a few complaints". He wrote:

  9. Mathematical Foundations of Quantum Mechanics - Wikipedia

    en.wikipedia.org/wiki/Mathematical_Foundations...

    Von Neumman formalized quantum mechanics using the concept of Hilbert spaces and linear operators. [3] He acknowledged the previous work by Paul Dirac on the mathematical formalization of quantum mechanics, but was skeptical of Dirac's use of delta functions. He wrote the book in an attempt to be even more mathematically rigorous than Dirac. [4]