second quantazation of harmonic oscillator
The expectation value of momentum for a harmonic oscillator is zero.
The expectation value of potential energy for a harmonic oscillator is equal to half of the oscillator's spring constant multiplied by the square of the oscillator's displacement from its equilibrium position.
The expectation value of position for a harmonic oscillator system with respect to the variable x is the average position that the oscillator is most likely to be found at when measured.
In the harmonic oscillator system, the expectation value of position is the average position that a particle is most likely to be found at. It is calculated as the integral of the position probability distribution function multiplied by the position variable.
In a simple harmonic oscillator, kinetic energy and potential energy are equal at the amplitude of the motion. At this point, all the energy is in the form of kinetic energy, and the displacement is at its maximum value.
The expectation value of momentum for a harmonic oscillator is zero.
The expectation value of potential energy for a harmonic oscillator is equal to half of the oscillator's spring constant multiplied by the square of the oscillator's displacement from its equilibrium position.
The expectation value of position for a harmonic oscillator system with respect to the variable x is the average position that the oscillator is most likely to be found at when measured.
In the harmonic oscillator system, the expectation value of position is the average position that a particle is most likely to be found at. It is calculated as the integral of the position probability distribution function multiplied by the position variable.
The potential energy of a simple harmonic oscillator reaches its maximum value twice during one complete oscillation. This occurs when the displacement of the oscillator is at its maximum and at its minimum amplitude.
For help with solving quantum mechanics homework problems Google "physics forums". Providing an answer to this question will yield no value to the community and the answer so long that I would have spend a too long writing it. To help you get started; use the corresponding normalized |psi> (Dirac notation), build the Hamiltonian for the SHO then find the expectation value of the Hamiltonian.
In a simple harmonic oscillator, kinetic energy and potential energy are equal at the amplitude of the motion. At this point, all the energy is in the form of kinetic energy, and the displacement is at its maximum value.
Measuring the time for multiple periods instead of just one period improves the accuracy of the measurement by reducing the error that may arise from reaction time or instrument limitations. Averaging the time over multiple periods helps to minimize random errors and provides a more reliable value for the period of the simple harmonic oscillator.
The expectation value of momentum for a Gaussian wave packet is zero.
Amplitude can be measured by calculating the maximum displacement of a wave from its equilibrium position. For example, in a simple harmonic oscillator, amplitude is measured as the distance from the equilibrium position to the maximum displacement of the oscillator. In a wave, amplitude can be measured as the height of the wave from the resting position to the peak.
The expectation value of kinetic energy for a hydrogen atom is -13.6 eV.
Asking where an electron goes is one of those questions that can only be answered probabilistically. You'd have to solve for the expectation value.