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  2. Gruppentheorie und Quantenmechanik - Wikipedia

    en.wikipedia.org/wiki/Gruppentheorie_und_Quanten...

    Weyl noted that Paul Dirac's relativistic quantum mechanics implied that the electron should have a positively charged anti-particle. The only known particle with a positive charge was the proton , but Weyl was convinced that the anti-electron had to have the same mass as the electron, and physicists had already established that protons are ...

  3. Complete set of commuting observables - Wikipedia

    en.wikipedia.org/wiki/Complete_set_of_commuting...

    In quantum mechanics, a complete set of commuting observables (CSCO) is a set of commuting operators whose common eigenvectors can be used as a basis to express any quantum state. In the case of operators with discrete spectra, a CSCO is a set of commuting observables whose simultaneous eigenspaces span the Hilbert space and are linearly ...

  4. 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.

  5. The Theoretical Minimum - Wikipedia

    en.wikipedia.org/wiki/The_Theoretical_Minimum

    Videos for all of these courses are available online. In addition, Susskind has made available video lectures over a range of supplement subject areas including: advanced quantum mechanics, the Higgs boson, quantum entanglement, string theory, and black holes. The full series delivers over 100 lectures amounting to something on the order of 200 ...

  6. Quantum state - Wikipedia

    en.wikipedia.org/wiki/Quantum_state

    In quantum physics, a quantum state is a mathematical entity that embodies the knowledge of a quantum system. Quantum mechanics specifies the construction, evolution, and measurement of a quantum state. The result is a prediction for the system represented by the state.

  7. Probability amplitude - Wikipedia

    en.wikipedia.org/wiki/Probability_amplitude

    Probability amplitudes provide a relationship between the quantum state vector of a system and the results of observations of that system, a link was first proposed by Max Born, in 1926. Interpretation of values of a wave function as the probability amplitude is a pillar of the Copenhagen interpretation of quantum mechanics.

  8. Teaching quantum mechanics - Wikipedia

    en.wikipedia.org/wiki/Teaching_quantum_mechanics

    Quantum mechanics is a difficult subject to teach due to its counterintuitive nature. [1] As the subject is now offered by advanced secondary schools, educators have applied scientific methodology to the process of teaching quantum mechanics, in order to identify common misconceptions and ways of improving students' understanding.

  9. Applications of quantum mechanics - Wikipedia

    en.wikipedia.org/wiki/Applications_of_quantum...

    The application of quantum mechanics to chemistry is known as quantum chemistry. Quantum mechanics can also provide quantitative insight into ionic and covalent bonding processes by explicitly showing which molecules are energetically favorable to which others and the magnitudes of the energies involved. [1]