The wave function and particle ontology - Philsci
... and (x1 , y1 , z1 ). This means that the picture of discontinuous motion also exists for one-body systems. Since quantum mechanics does not provide further information about the positions of the physical entities at each instant, the discontinuous motion described by the theory is also essentially r ...
... and (x1 , y1 , z1 ). This means that the picture of discontinuous motion also exists for one-body systems. Since quantum mechanics does not provide further information about the positions of the physical entities at each instant, the discontinuous motion described by the theory is also essentially r ...
Multiphoton adiabatic rapid passage: classical transition induced by separatrix crossing
... the chirp. They interpreted their results using a qualitative quantum picture involving a multiphoton resonance. An important aspect of this process is the relative frequencies involved. The transition frequency to go directly from n = 72 to 82 using ten identical photons is 14.5 GHz1 . Thus, the dr ...
... the chirp. They interpreted their results using a qualitative quantum picture involving a multiphoton resonance. An important aspect of this process is the relative frequencies involved. The transition frequency to go directly from n = 72 to 82 using ten identical photons is 14.5 GHz1 . Thus, the dr ...
Chapter 5 Wave Mechanics
... Since |Ψ(x, t)|2 is a normalized probability density for the particle to be found in some region in space, it can be used to calculate various statistical properties of the position of the particle. In defining these quantities, we must make use of the notion of an ‘ensemble of identically prepared ...
... Since |Ψ(x, t)|2 is a normalized probability density for the particle to be found in some region in space, it can be used to calculate various statistical properties of the position of the particle. In defining these quantities, we must make use of the notion of an ‘ensemble of identically prepared ...
Electronic Supplementary Material (ESI) for Journal of Materials Chemistry C.
... Although both TIPS- and TES-pentacenes have quite similar structures (Figure SI2.1), the subtle differences change the relative orientation of the molecules and the π-stacking distances between the pentacene cores, both parameters crucial for the charge transport abilities (Figure SI2.2). Only compa ...
... Although both TIPS- and TES-pentacenes have quite similar structures (Figure SI2.1), the subtle differences change the relative orientation of the molecules and the π-stacking distances between the pentacene cores, both parameters crucial for the charge transport abilities (Figure SI2.2). Only compa ...
3rd year
... 1. The wave equations for the oscillator is satisfied only for discrete values of total energies, 2. The lowest energy of the oscillator is obtained by putting n = 0 and it is, This is called the ground state energy or the zero point energy of the harmonic oscillator. (iii) The eigen values of the t ...
... 1. The wave equations for the oscillator is satisfied only for discrete values of total energies, 2. The lowest energy of the oscillator is obtained by putting n = 0 and it is, This is called the ground state energy or the zero point energy of the harmonic oscillator. (iii) The eigen values of the t ...
I. Wave Mechanics
... An allowed energy level occurs where these curves intersect. Properties of the solution: i) always at least one solution ii) the allowed energies are discrete iii) the number of solutions is finite, depending on a. iv) +/- solutions alternate in energy (odd/even, as with the infinite well). ...
... An allowed energy level occurs where these curves intersect. Properties of the solution: i) always at least one solution ii) the allowed energies are discrete iii) the number of solutions is finite, depending on a. iv) +/- solutions alternate in energy (odd/even, as with the infinite well). ...
APPLICATION OF THOMAS-FERMI MODEL TO
... theoretical values of R = 0.4182 nm and R i = 0.2808 nm, calculated here, one can obtain the value of the peak 22.72 eV. This result is not too bad either. Simple Dipole Oscillation. Let us consider a dipole type collective quantum oscillation of the electronic shell as a whole (having mass mN) rela ...
... theoretical values of R = 0.4182 nm and R i = 0.2808 nm, calculated here, one can obtain the value of the peak 22.72 eV. This result is not too bad either. Simple Dipole Oscillation. Let us consider a dipole type collective quantum oscillation of the electronic shell as a whole (having mass mN) rela ...
Semiclassical theory of helium atom
... (see Figure 4) converging to the first ionization threshold at an energy of −Z /2 (in atomic units). In energy region (ii) the doubly excited states have a finite lifetime; they can decay, owing to the mutual repulsive interaction between the electrons, by autoionization where one electron leaves th ...
... (see Figure 4) converging to the first ionization threshold at an energy of −Z /2 (in atomic units). In energy region (ii) the doubly excited states have a finite lifetime; they can decay, owing to the mutual repulsive interaction between the electrons, by autoionization where one electron leaves th ...
nature
... This Mott insulator state cannot be described by a macroscopic wavefunction like in a Bose condensed phase, and thus is not amenable to a treatment via the Gross-Pitaevskii equation or Bogoliubov's theory of weakly interacting bosons. In this state no phase coherence is prevalent in the system, but ...
... This Mott insulator state cannot be described by a macroscopic wavefunction like in a Bose condensed phase, and thus is not amenable to a treatment via the Gross-Pitaevskii equation or Bogoliubov's theory of weakly interacting bosons. In this state no phase coherence is prevalent in the system, but ...
University of Toronto Strongly Repulsive Ultracold
... Pauli exclusion principle, Tab must be diagonal for fermions. Notice that the index i is a summation over a presumed atomic lattice, where the spins are localized (hence this form of ferromagnetism is non-itinerant). By assuming isotropic nearest-neighbour interactions, one arrives at the Ising mod ...
... Pauli exclusion principle, Tab must be diagonal for fermions. Notice that the index i is a summation over a presumed atomic lattice, where the spins are localized (hence this form of ferromagnetism is non-itinerant). By assuming isotropic nearest-neighbour interactions, one arrives at the Ising mod ...
