Examples of using Wave functions in English and their translations into Indonesian
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Ecclesiastic
These mathematical descriptions are called wave functions and are symbolized by the Greek letter ψ(psi).
The wave functions of molecules(i.e. the wave functions of the ions and electrons out of which molecules are built) are well studied.
These mathematical descriptions are called wave functions and are symbolized by the Greek letter ψ(psi).
The wave functions represent the abstract state characterized by the triple of quantum numbers(n, l, m), in the lower right of each image.
Comparing the quantum dots size to the Bohr radius of the electron and hole wave functions, 3 regimes can be defined.
The Schrödinger equation describes how wave functions change in time, playing a role similar to Newton's second law in classical mechanics.
Each w: energy eigenfunction is assumed to be describable by a single w: Slater determinant,an antisymmetrized product of one-electron wave functions(i.e., orbitals).
Once we get information about the nuclear decay, the wave functions decohered and we must switch to"classical" probabilities.
The time evolution of wave functions is deterministic in the sense that- given a wavefunction at an initial time- it makes a definite prediction of what the wavefunction will be at any later time.
And it was important to include the possible interference effects while the wave functions(for the decaying nucleus) were still coherent.
Such wave functions are directly comparable to Chladni's figures of acoustic modes of vibration in classical physics, and are modes of oscillation as well, possessing a sharp energy and, thus, a definite frequency.
An equation known as the Schrödinger equation describes how wave functions change in time, a role similar to Newton's second law in classical mechanics.
Some wave functions produce probability distributions that are constant, or independent of time- such as when in a stationary state of constant energy, time vanishes in the absolute square of the wave function. .
Wigner claimed that a quantummeasurement requires the mind of a conscious observer, without which wave functions never collapse and nothing ever happens in the universe.
At first, Schrödinger and others thought that wave functions represent particles that are spread out with most of the particle being where the wave function is large.
But when describing these super-microscopic properties of matter,scientists have had to rely on wave functions- a mathematical way of describing the fuzzy quantum states of particles.
A big problem in physics is that the wave functions that are spread out have a shape which satisfies well-known equations, but it is still not clear, when and how physics gets just one actual outcome.
The expectation values of the density of each particle in space-time,which is the concept derived from the wave functions corresponding to different worlds, can play the role of“primitive ontology”.
A big problem in physics is that the wave functions that are spread out have a shape which satisfies well-known equations, but it is still not clear, when and how physics gets just one actual outcome.
Typically, in modern Hartree-Fock calculations, the one-electron wave functions are approximated by a linear combination of atomic orbitals.
The inner product between two wave functions is a measure of the overlap between the corresponding physical states, and is used in the foundational probabilistic interpretation of quantum mechanics, the Born rule, relating transition probabilities to inner products.
But when describing these super-microscopic properties of matter,scientists have had to rely on wave functions- a mathematical way of describing the fuzzy quantum states of particles, namely how they behave in both space and time.
The wave functions in the Dirac theory are vectors of four complex numbers(known as bispinors), two of which resemble the Pauli wavefunction in the non-relativistic limit, in contrast to the Schrödinger equation which described wave functions of only one complex value.
Schrödinger, in speaking of a universe in which particles are represented by wave functions, said,“The unity and continuity of Vedanta are reflected in the unity and continuity of wave mechanics.
The wave functions in the Dirac theory are vectors of four complex numbers(known as bispinors), two of which resemble the Pauli wavefunction in the non-relativistic limit,in contrast to the Schrödinger equation which described wave functions of only one complex value.
At large values of E/kT or at small density of states-when wave functions of particles practically do not overlap, both the Bose-Einstein or Fermi-Dirac distribution become the Boltzmann distribution.
The Schrödinger equation determines how wave functions evolve over time, and a wave function behaves qualitatively like other waves, such as water waves or waves on a string, because the Schrödinger equation is mathematically a type of wave equation.
However, quantum-mechanical calculations with accurate wave functions since the 1970s have shown that the actual physical reason for the increased stability is a decrease in the screening of electron-nuclear attractions, so that the unpaired electrons can approach the nucleus more closely and the electron-nuclear attraction is increased.
The wave function itself has no physical significance.