Definition & Betydelse | Engelska ordet WAVEFUNCTION

Definition av WAVEFUNCTION

1. (matematik, fysik) vågfunktion

Exempel på hur man kan använda WAVEFUNCTION i en mening

• Under such conditions, a large fraction of bosons occupy the lowest quantum state, at which microscopic quantum-mechanical phenomena, particularly wavefunction interference, become apparent macroscopically.
• The many-worlds interpretation (MWI) is an interpretation of quantum mechanics that asserts that the universal wavefunction is objectively real, and that there is no wave function collapse.
• The de Broglie–Bohm theory is an interpretation of quantum mechanics which postulates that, in addition to the wavefunction, an actual configuration of particles exists, even when unobserved.
• A total superposition of the global or universal wavefunction still exists (and remains coherent at the global level), but its ultimate fate remains an interpretational issue.
• This includes observers and measurement systems, which become part of one universal state (the wavefunction) that is always described via the Schrödinger Equation (or its relativistic alternative).
• The most commonly described case, sometimes called the Aharonov–Bohm solenoid effect, takes place when the wave function of a charged particle passing around a long solenoid experiences a phase shift as a result of the enclosed magnetic field, despite the magnetic field being negligible in the region through which the particle passes and the particle's wavefunction being negligible inside the solenoid.
• In the wave mechanics formulation of QM, the wavefunction varies with space and time, or equivalently momentum and time (see position and momentum space for details), so observables are differential operators.
• In the physical theory of the quantum Hall effect, the Vandermonde determinant shows that the Laughlin wavefunction with filling factor 1 is equal to a Slater determinant.
• Bosons are particles whose wavefunction is symmetric under such an exchange or permutation, so if we swap the particles, the wavefunction does not change.
• Under the standard Copenhagen interpretation, the normalized wavefunction gives probability amplitudes for the position of the particle.
• The resolution essentially follows that of the vacuum case above with normalization of the total wavefunction added, solving two Schrödinger equations — inside and outside the sphere — of the previous kind, i.
• The statement that any wavefunction for the particle on a ring can be written as a superposition of energy eigenfunctions is exactly identical to the Fourier theorem about the development of any periodic function in a Fourier series.
• Eisenschitz and London showed that this repulsion is a consequence of enforcing the electronic wavefunction to be antisymmetric under electron permutations.
• Paul Dirac proposes the Dirac equation as a relativistic equation of motion for the wavefunction of the electron, leading him to predict the existence of the positron, the electron's antiparticle.
• According to the reduction postulate, each measurement causes the wavefunction to collapse to an eigenstate of the measurement basis.
• In 1983, Laughlin was first to provide a many body wave function, now known as the Laughlin wavefunction, for the fractional quantum hall effect, which was able to correctly explain the fractionalized charge observed in experiments.
• In solid-state physics, the "wavevector" (also called k-vector) of an electron or hole in a crystal is the wavevector of its quantum-mechanical wavefunction.
• This behaviour is well-studied for smoothly varying potentials in the WKB approximation for wavefunction, where an oscillatory behaviour is observed if the right hand side of the equation is negative and growing/decaying behaviour if it is positive.
• It is typically used for a semiclassical calculation in quantum mechanics in which the wavefunction is recast as an exponential function, semiclassically expanded, and then either the amplitude or the phase is taken to be changing slowly.
• Unsöld's theorem states that the square of the total electron wavefunction for a filled or half-filled sub-shell is spherically symmetric.

Förberedelsen av sidan tog: 130,96 ms.