wave function collapse
col·lapse de la funció d'ona
wave function oor Katalaans
wave function
en
Alternative spelling of wavefunction.
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Funció d'ones
en
mathematical description of the quantum state of a system; complex-valued probability amplitude, and the probabilities for the possible results of measurements made on the system can be derived from it
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This explained the electromagnetic field effect on the wave function of a charged quantum mechanical particle.
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GRW differs from other collapse theories by proposing that wave function collapse happens spontaneously.
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We are usually interested in the wave function with the lowest energy eigenvalue, the ground state.
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He concluded that the entire physical universe could be made subject to the universal wave function.
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Each component wave function, and hence the wave packet, are solutions of a wave equation.
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And the wave function collapse is always a problem.’
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Since the overall phase of a wave function is not measurable, the system does not change in time.
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In DFT, the total energy is expressed in terms of the total one-electron density rather than the wave function.
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As the basis set size is increased, the energy and wave function tend towards a limit called the Hartree–Fock limit.
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Analogous to the wave function of a particle in a box, one finds that the fields are superpositions of periodic functions.
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Therefore, it could not have an antisymmetric wave function, (due to the Pauli exclusion principle), unless there were a hidden quantum number.
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In the Copenhagen interpretation of quantum mechanics, the wave function is the most complete description that can be given of a physical system.
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For a molecular orbital or crystalline calculation, the initial approximate one-electron wave functions are typically a linear combination of atomic orbitals (LCAO).
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A leaky feeder communication system consists of a coaxial cable run along tunnels which emits and receives radio waves, functioning as an extended antenna.
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In 1954, he received the prize for "fundamental research in Quantum Mechanics, especially in the statistical interpretation of the wave function" — something that he had worked on alone.
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In addition to mathematical expressions for total angular momentum and angular momentum projection of wavefunctions, an expression for the radial dependence of the wave functions must be found.
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In 1926 von Neumann showed that if atomic states were understood as vectors in Hilbert space, then they would correspond with both Schrödinger's wave function theory and Heisenberg's matrices.
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In quantum mechanics, the wave-like property of one particle can be described mathematically as a complex-valued function, the wave function, commonly denoted by the Greek letter psi (ψ).
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With a two-fermion system, two extra factors appear: one comes from the spin part of the wave function, and the second from the exchange of a fermion by its antifermion.
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This number is very sensitive to the individual contributions from nucleons, and a measurement or prediction of its value can reveal important information about the content of the nuclear wave function.
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In the case of a system consisting of particles of different kinds (for example, electrons and protons), the wave function of the system is invariant up to a phase separately for both assemblies of particles.
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The ground state of the hydrogen atom corresponds to having the atom's single electron in the lowest possible orbit (that is, the spherically symmetric "1s" wave-function, which, so far, has demonstrated to have the lowest possible quantum numbers).
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The wave function of fermions, including electrons, is antisymmetric, meaning that it changes sign when two electrons are swapped; that is, ψ(r1, r2) = −ψ(r2, r1), where the variables r1 and r2 correspond to the first and second electrons, respectively.
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Such non-relativistic fields are not as fundamental as their relativistic counterparts: they provide a convenient 're-packaging' of the many-body wave function describing the state of the system, whereas the relativistic fields described above are a necessary consequence of the consistent union of relativity and quantum mechanics.
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This means that in an assembly consisting of similar particles, interchanging any two particles does not lead to a new configuration of the system (in the language of quantum mechanics: the wave function of the system is invariant up to a phase with respect to the interchange of the constituent particles).
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