che-20028 QC lecture 3 - Rob Jackson`s Website
... Allowed energies for the harmonic oscillator - 1 • If we have an expression for the wave function of a harmonic oscillator (outside module scope!), we can use Schrödinger’s equation to get the energy. • It can be shown that only certain energy levels are allowed – this is a further example of energ ...
... Allowed energies for the harmonic oscillator - 1 • If we have an expression for the wave function of a harmonic oscillator (outside module scope!), we can use Schrödinger’s equation to get the energy. • It can be shown that only certain energy levels are allowed – this is a further example of energ ...
Quantum Few-Body Systems
... Recent developments in the analysis of critically stable systems are discussed. The behavior of weakly bound states in many-particle systems as they approach the continuum threshold is analyzed in the framework of non--relativistic quantum mechanics. Under minor assumptions it is proved [1] that if ...
... Recent developments in the analysis of critically stable systems are discussed. The behavior of weakly bound states in many-particle systems as they approach the continuum threshold is analyzed in the framework of non--relativistic quantum mechanics. Under minor assumptions it is proved [1] that if ...
The Simple Harmonic Oscillator
... Second, the simple harmonic oscillator is another example of a one-dimensional quantum problem that can be solved exactly. Its detailed solutions will give us further insight into the behavior of quantum systems in general, helping us understand which features of the infinite square well are or aren ...
... Second, the simple harmonic oscillator is another example of a one-dimensional quantum problem that can be solved exactly. Its detailed solutions will give us further insight into the behavior of quantum systems in general, helping us understand which features of the infinite square well are or aren ...
The Essentials of Quantum Mechanics
... multiplied by the eigenvalue y. Physically, φy (x) is the state in which the observable Y has the definite value y. Note that the eigenvalues of an operator that coresponds to an observable are always real, since they are possible values of that physical observable. ...
... multiplied by the eigenvalue y. Physically, φy (x) is the state in which the observable Y has the definite value y. Note that the eigenvalues of an operator that coresponds to an observable are always real, since they are possible values of that physical observable. ...
x - Purdue Physics
... f (t ) eiEt / So multiplying by (x), the spatial Schrödinger equation becomes: ...
... f (t ) eiEt / So multiplying by (x), the spatial Schrödinger equation becomes: ...
On v^ 2/c^ 2 expansion of the Dirac equation with external potentials
... quote the term (σ · Π)4 , but, since it is nowhere separated into the orbital and spin parts and interpreted, it merits attention. To facilitate the discussion, it is helpful to consider first a simple situation of an electron in a constant magnetic field B. In this case the Dirac equation has exact ...
... quote the term (σ · Π)4 , but, since it is nowhere separated into the orbital and spin parts and interpreted, it merits attention. To facilitate the discussion, it is helpful to consider first a simple situation of an electron in a constant magnetic field B. In this case the Dirac equation has exact ...
Particle in a box - MIT OpenCourseWare
... In 1877 he went to Berlin for a year of study with physicists Helmholtz and Kirchhoff. He wrote that Kirchhoff spoke in carefully prepared lectures which were dry and monotonous. He eventually became Kirchhoff’s successor in Berlin. The concept of the photon was initially rejected by Planck. He wrot ...
... In 1877 he went to Berlin for a year of study with physicists Helmholtz and Kirchhoff. He wrote that Kirchhoff spoke in carefully prepared lectures which were dry and monotonous. He eventually became Kirchhoff’s successor in Berlin. The concept of the photon was initially rejected by Planck. He wrot ...