# Tagged Questions

The term "harmonic oscillator" is used to describe any system with a "linear" restoring force that tends to return the system to a equilibrium state. There is both a classical harmonic oscillator and a quantum harmonic oscillator. Both are used to as toy problems that describe many physical systems.

16 views

### Simple harmonic motion [on hold]

A body executing shm has 10cm as amplitude and time period is 1.5s. Calculate the time taken by the body to travel a distance 5√3 cm from the mean position. I have used the formula x=asim(wt) And ...
67 views

26 views

29 views

### Galileo's pendulum and any references

In some texts about the simple pendulum we use to see references about some "experiments" Galileo Galilei did realize and whereby he found some important results, including that the period of the ...
68 views

### Understanding Quantum Harmonic Oscillator derivation

I'm using this pdf as a reference. Basically, I want to solve equation 0.3, which can be simplified to equation 0.5. The solution is in the form $$\Psi(u)=h(u)e^{\frac{-u^2}{2}}$$ where $h(u)$ can ...
37 views

While making calculations for simple harmonic motion, we take the force as $F=F(x)$. Then we use Taylor's expansion and calculate as follows: \begin{align} F(x) &=F(0+x) \\ & = F(0)+xF'(0)+... 1answer 47 views ### Deriving eigen values of \hat{N} So let's say we have an operator \hat{a} (ladder operator), where \left[\hat{a},\hat{a}^\dagger\right] = 1, and \hat{a}^2 |\phi\rangle = 0. How do I show that the eigenvalues of \hat{N}=\hat{... 2answers 40 views ### Degrees of degeneracy of energy values Let us consider the harmonic oscilator in three dimensions whose hamiltonian is:H = \dfrac{1}{2m} \mathbf{P}^2+\dfrac{m\omega^2}{2 }\mathbf{R}^2. The nicest way to solve the eigenvalue equation ...
For an simple harmonic oscillator energy can be represented as in picture. Consider in particular picture (b) with the energy as a function of the coordinate $x$. Consider now a simple pendulum. The ...