quantum mechanical model wikipedia - EAS

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    https://en.wikipedia.org/wiki/Quantum_mechanics

    Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles. It is the foundation of all quantum physics including quantum chemistry, quantum field theory, quantum technology, and quantum

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    Quantum mechanics allows the calculation of properties and behaviour of physical systems. It is typically applied to microscopic systems: molecules, atoms and sub-atomic particles. It has been demonstrated to hold for

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    In the mathematically rigorous formulation of quantum mechanics, the state of a quantum mechanical system is a vector belonging to a (separable) complex Hilbert space .

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    Free particle
    The simplest example of quantum system with a position degree of freedom is a free particle in a single spatial dimension. A free particle is one which is not subject to external influences, so that its Hamiltonian consists only of its kinetic

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    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

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    Since its inception, the many counter-intuitive aspects and results of quantum mechanics have provoked strong philosophical debates and many interpretations.

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    Quantum mechanics was developed in the early decades of the 20th century, driven by the need to explain phenomena that, in some cases, had been observed in earlier times. Scientific inquiry into the wave nature of light began in the 17th and 18th centuries, when scientists

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    Quantum mechanics has had enormous success in explaining many of the features of our universe, with regards to small-scale and discrete quantities and interactions which cannot be explained by classical methods. Quantum mechanics is often the only theory that

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  2. https://en.wikipedia.org/wiki/Introduction_to_quantum_mechanics

    By the dawn of the 20th century, the evidence required a model of the atom with a diffuse cloud of negatively charged electrons surrounding a small, dense, positively charged nucleus. These properties suggested a model in which electrons circle the nucleus like planets orbiting a sun. However, it was also known that the atom in this model would be unstable: according to classical th…

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  3. https://en.wikipedia.org/wiki/Timeline_of_quantum_mechanics

    1928 – Linus Pauling outlines the nature of the chemical bond: uses Heitler's quantum mechanical covalent bond model to outline the quantum mechanical basis for all types of molecular structure and bonding and suggests that different types of bonds in molecules can become equalized by rapid shifting of electrons, a process called "resonance ...

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    • https://en.wikipedia.org/wiki/List_of_quantum...

      Much insight in quantum mechanics can be gained from understanding the closed-form solutions to the time-dependent non-relativistic Schrödinger equation.It takes the form ^ (,) = [+ ()] (,) = (,), where is the wave function of the system, ^ is the Hamiltonian operator, and is time. Stationary states of this equation are found by solving the time-independent Schrödinger equation,

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      • https://en.wikipedia.org/wiki/Quantum_Heisenberg_model

        The quantum Heisenberg model, developed by Werner Heisenberg, is a statistical mechanical model used in the study of critical points and phase transitions of magnetic systems, in which the spins of the magnetic systems are treated quantum mechanically. It is related to the prototypical Ising model, where at each site of a lattice, a spin σ i ∈ { ± 1 } {\displaystyle \sigma _{i}\in \{\pm …

      • https://en.wikipedia.org/wiki/Interpretations_of_quantum_mechanics

        QBism, which originally stood for "quantum Bayesianism", is an interpretation of quantum mechanics that takes an agent's actions and experiences as the central concerns of the theory. This interpretation is distinguished by its use of a subjective Bayesian account of probabilities to understand the quantum mechanical Born rule as a normative addition to good decision-making.

      • https://en.wikipedia.org/wiki/Quantum_chemistry

        Quantum chemistry, also called molecular quantum mechanics, is a branch of physical chemistry focused on the application of quantum mechanics to chemical systems, particularly towards the quantum-mechanical calculation of electronic contributions and effects. These calculations include systematically applied approximations intended to make calculations computationally …

      • https://en.wikipedia.org/wiki/Quantum_mind

        Quantum cognition is based on the quantum-like paradigm, generalized quantum paradigm, or quantum structure paradigm that information processing by complex systems such as the brain can be mathematically described in the framework of quantum information and quantum probability theory. This model uses quantum mechanics only as an analogy, but doesn't …

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