3
votes
Accepted
The eigenvalues of quantum harmonic oscillator
Usually, such plots show the potential energy of the system together with the location of the eigenvalues as a horizontal line at the correct energy.
For instance, the figure below shows the shape of ...
1
vote
Accepted
Confused in David Bohm's *Quantum Theory*
In discussing matrix mechanics Bohm says in chapter 16 of Quantum Theory that the $rm$ element of operator $A$, $a_{rm}$, is given by
$$a_{rm} = \int dx\ \psi^*_r(x)A\psi_m(x) \hspace{1in} (Eqn. ...
1
vote
How to derive the period of spring pendulum?
You can also do it with calculus. Let the mass be $m$, spring constant be $k$, the total displacement be $D$ (which will go away later), the displacement at any point be $x$, and the velocity at any ...
Only top scored, non community-wiki answers of a minimum length are eligible
Related Tags
harmonic-oscillator × 2467quantum-mechanics × 821
homework-and-exercises × 705
newtonian-mechanics × 532
oscillators × 328
spring × 273
classical-mechanics × 225
operators × 178
hilbert-space × 172
waves × 139
schroedinger-equation × 100
energy × 94
wavefunction × 82
resonance × 79
frequency × 78
coupled-oscillators × 70
friction × 64
statistical-mechanics × 63
quantum-field-theory × 58
hamiltonian × 58
hamiltonian-formalism × 54
potential-energy × 53
vibrations × 51
forces × 50
differential-equations × 49