January 2010
... Consider an isotropic three-dimensional harmonic oscillator described by the rotationally-invariant Hamiltonian H= ...
... Consider an isotropic three-dimensional harmonic oscillator described by the rotationally-invariant Hamiltonian H= ...
4.8-Quantum Mechanics
... Schroedinger’s wave equation, and Born’s interpretation, can equally be applied to “free” particles, or those which are trapped Classically, a particle trapped in a potential well cannot escape…. ….but a trapped quantum particle (eg a particle in an atomic nucleus) can tunnel out of the well, even w ...
... Schroedinger’s wave equation, and Born’s interpretation, can equally be applied to “free” particles, or those which are trapped Classically, a particle trapped in a potential well cannot escape…. ….but a trapped quantum particle (eg a particle in an atomic nucleus) can tunnel out of the well, even w ...
T3_Static_Potentials_And_Eigenstates
... Local Minima in Complicated Potentials May Be Approximated as Harmonic Oscillators ...
... Local Minima in Complicated Potentials May Be Approximated as Harmonic Oscillators ...
Quantum Mechanics: Introduction
... but time periodicity of oscillator Additionally Laws of thermodynamics E = kT Fundamental constants : 1. velocity of light c 2. Avogadro Number N 3. Boltzman constant k 4. Unit of charge e ...
... but time periodicity of oscillator Additionally Laws of thermodynamics E = kT Fundamental constants : 1. velocity of light c 2. Avogadro Number N 3. Boltzman constant k 4. Unit of charge e ...
Physics 847: Problem Set 7
... the same commutation relations as the raising and lowering operators a and a† for harmonic oscillators. This shows that spin wave states, like harmonic oscillator states, can be treated as bosons with a zero chemical potential. 4. At low temperatures, the magnetization of the ferromagnetic spin-1/2 ...
... the same commutation relations as the raising and lowering operators a and a† for harmonic oscillators. This shows that spin wave states, like harmonic oscillator states, can be treated as bosons with a zero chemical potential. 4. At low temperatures, the magnetization of the ferromagnetic spin-1/2 ...
PX408: Relativistic Quantum Mechanics Tim Gershon ()
... assumed. Formally, the module leads from the following modules: • PX148 Classical Mechanics & Relativity • PX262 Quantum Mechanics and its Applications Additional experience in quantum physics would be useful, for example from the following modules: • PX101 Quantum Phenomena • PX382 Quantum Physics ...
... assumed. Formally, the module leads from the following modules: • PX148 Classical Mechanics & Relativity • PX262 Quantum Mechanics and its Applications Additional experience in quantum physics would be useful, for example from the following modules: • PX101 Quantum Phenomena • PX382 Quantum Physics ...
Recap of Lectures 9-11
... From U we derive Hamiltonian operator, H, and the (timedependent) Schrödinger Equation For a closed system U = exp[−iHt / ħ ] ► Measurements cause apparently discontinuous change in the state vector (“collapse of the wave function”). After an ideal measurement yielding result ai , state is in corr ...
... From U we derive Hamiltonian operator, H, and the (timedependent) Schrödinger Equation For a closed system U = exp[−iHt / ħ ] ► Measurements cause apparently discontinuous change in the state vector (“collapse of the wave function”). After an ideal measurement yielding result ai , state is in corr ...
Two-Body Central
... Write down the actual and effective potential energies for a comet (or planet) moving in the gravitational field of the sun. Plot the 3 potential energies involved (U, Ucf, Ueff) and use the graph of Ueff vs r to describe the motion as r goes from large ...
... Write down the actual and effective potential energies for a comet (or planet) moving in the gravitational field of the sun. Plot the 3 potential energies involved (U, Ucf, Ueff) and use the graph of Ueff vs r to describe the motion as r goes from large ...
Quantum Mechanics
... The wave function, Y (psi) represents the displacement as a function of time and position Thus, Y2 is the probability of finding a certain electron at the given position and time The Y2 function gives us the shapes of the ...
... The wave function, Y (psi) represents the displacement as a function of time and position Thus, Y2 is the probability of finding a certain electron at the given position and time The Y2 function gives us the shapes of the ...
Relativistic theory of particles with arbitrary intrinsic angular
... multiple of the unit matrix, but must have at least two different eigenvalues, say β1 and β2 . However, this implies that the energy of the particle at rest, obtained from Eq. (1) by taking p = 0, shall have at least two different values, i.e. β1 mc2 and β2 mc2 . According to Dirac’s equations, the al ...
... multiple of the unit matrix, but must have at least two different eigenvalues, say β1 and β2 . However, this implies that the energy of the particle at rest, obtained from Eq. (1) by taking p = 0, shall have at least two different values, i.e. β1 mc2 and β2 mc2 . According to Dirac’s equations, the al ...
