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  2. List of quantum-mechanical systems with analytical solutions

    en.wikipedia.org/wiki/List_of_quantum-mechanical...

    The quantum harmonic oscillator; The quantum harmonic oscillator with an applied uniform field [1] The Inverse square root potential [2] The periodic potential The particle in a lattice; The particle in a lattice of finite length [3] The Pöschl–Teller potential; The quantum pendulum; The three-dimensional potentials The rotating system The ...

  3. 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 ...

  4. Quantum optimization algorithms - Wikipedia

    en.wikipedia.org/wiki/Quantum_optimization...

    The algorithm performs a binary search to find the minimal threshold for which a solution still exists: this gives the minimal solution to the SDP problem. The quantum algorithm provides a quadratic improvement over the best classical algorithm in the general case, and an exponential improvement when the input matrices are of low rank .

  5. 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 ...

  6. Hamiltonian (quantum mechanics) - Wikipedia

    en.wikipedia.org/.../Hamiltonian_(quantum_mechanics)

    In quantum mechanics, the Hamiltonian of a system is an operator corresponding to the total energy of that system, including both kinetic energy and potential energy.Its spectrum, the system's energy spectrum or its set of energy eigenvalues, is the set of possible outcomes obtainable from a measurement of the system's total energy.

  7. Deutsch–Jozsa algorithm - Wikipedia

    en.wikipedia.org/wiki/Deutsch–Jozsa_algorithm

    [1] [2] Although of little practical use, it is one of the first examples of a quantum algorithm that is exponentially faster than any possible deterministic classical algorithm. [3] The Deutsch–Jozsa problem is specifically designed to be easy for a quantum algorithm and hard for any deterministic classical algorithm.

  8. Quantum harmonic oscillator - Wikipedia

    en.wikipedia.org/wiki/Quantum_harmonic_oscillator

    Some trajectories of a harmonic oscillator according to Newton's laws of classical mechanics (A–B), and according to the Schrödinger equation of quantum mechanics (C–H). In A–B, the particle (represented as a ball attached to a spring ) oscillates back and forth.

  9. Measurement problem - Wikipedia

    en.wikipedia.org/wiki/Measurement_problem

    In quantum mechanics, the measurement problem is the problem of definite outcomes: quantum systems have superpositions but quantum measurements only give one definite result. [ 1 ] [ 2 ] The wave function in quantum mechanics evolves deterministically according to the Schrödinger equation as a linear superposition of different states.