Class: Quantum Mechanics
Quantum Mechanics model.
- class comfit.quantum_mechanics.quantum_mechanics.QuantumMechanics(dimension, **kwargs)
Bases:
BaseSystem- __init__(dimension, **kwargs)
Initializes a quamtum mechanics system evolving according to the Schrödinger equation
Parameters
- dimensionint
The dimension of the system.
- **kwargsdict, optional
Optional keyword arguments to set additional parameters. See https://comfitlib.com/ClassBaseSystem/.
Examples
>>> qm = cf.QuantumMechanics(3,xRes=101,yRes=101,zRes=101) Creates a BoseEinsteinCondensate system with 3 dimensions and a spatial resolution of 101.
- calc_hydrogen_state(n, l, m)
Calculate the hydrogen state with quantum numbers n,l,m
- Return type:
ndarray
Parameters
- nint
principal quantum number
- lint
azimuthal quantum number
- mint
magnetic quantum number
Returns
- np.ndarray
Wavefunction of the hydrogen state. (np.ndarray)
- calc_nonlinear_evolution_function_f(psi, t)
Calculate the nonlinear evolution function f of the Schrödinger equation
- Return type:
ndarray
Parameters
- psinp.ndarray
The wavefunction.
- tfloat
Time
Returns
- np.ndarray
The nonlinear evolution function f.
- conf_harmonic_potential(trapping_strength=None)
Set the external potential to a harmonic trap with R_tf being the thomas fermi radius
- Return type:
None
Parameters
- trapping_strengthfloat, optional
The strength of the trapping potential.
Returns
- None
Configures self.V_ext.
- conf_hydrogen_state(n, l, m)
Set the initial condition to a hydrogen state with quantum numbers n,l,m
- Return type:
None
Parameters
- nint
principal quantum number
- lint
azimuthal quantum number
- mint
magnetic quantum number
Returns
- None
Configures self.psi and self.psi_f.
- conf_initial_condition_Gaussian(position=None, width=None, initial_velocity=None)
Set the initial condition to a Gaussian wavepacket.
- Return type:
None
Parameters
- positionarray_like, optional
The position of the wavepacket.
- widthfloat, optional
The width of the wavepacket.
- initial_velocityfloat or array_like, optional
The initial velocity of the wavepacket.
Returns
- None
Configures self.psi and self.psi_f.