 Home

Codex Wiki

Physics

Branch of physics

Quantum theory

Variational method

For
$$
V(x)=\frac{\hbar^2}{2m}(x^6-3x^2+2),
$$
the nodeless wavefunction $e^{-x^4/4}$ is an exact eigenstate with energy $\hbar^2/m$, and hence is the ground state.


Exact ground state of a solvable sextic potential

Past exam of the mathematics course of the University of Cambridge / 2023 / ii / Paper 2 / 36D / Solution

Exact ground state of a solvable sextic potential

 Ancestors (5)

 Incoming links (1)

 Discussion (0)

 Articles by others on the same topic (0)

Exact ground state of a solvable sextic potential

 Ancestors (5)

 Incoming links (1)

 Discussion (0)  Subscribe (1)

 Articles by others on the same topic (0)

 Discussion (0)