Rydberg Helium Properties

Calculate properties of Rydberg states in helium using the Numerov method.

M. L. Zimmerman et al., Phys. Rev. A, 20, 2251 (1979) http://dx.doi.org/10.1103/PhysRevA.20.2251

Install

Install helium-properties using setuptools,

git clone https://github.com/axm108/helium-properties
cd helium-properties
python setup.py install

Install helium-stark-zeeman using setuptools,

git clone https://github.com/axm108/helium-stark-zeeman
cd helium-stark-zeeman
python setup.py install

Basic usage

Import libraries,

from helprop import *
import pandas as pd

Instantiate State objects,

state_1 = State(n=68, L=67, S=1, M=67, basis_type='ML')
state_2 = State(n=69, L=68, S=1, M=68, basis_type='ML')

Calculate single-state properties,

energy(state_1, units='Ghz')
radiative_lifetime_all(state_1, units='ms')

Calculate two-state properties,

transition_energy(state_1, state_2, units='ghz'),
transition_dipole_moment(state_1, state_2, units='debye'),
radiative_lifetime(state_1, state_2, units='ms')

Parameters

Class: State

Parameter	Description	Data type	Required	Default
n_min	Minimum value of the principle quantum number n, to allow in the basis.	Int	Yes	N/A
n_max	Maximum value of the principle quantum number n, to allow in the basis.	Int	Yes	N/A
L_max	Maximum value of the orbital angular momentum quantum number to allow in the basis. None means no restriction.	Int [or None]	No	None
S	Value of the total spin orbital angular momentum. [Singlet: S=0, Triplet: S=1]. None means both.	Int [or None]	No	None
M	Single value of the azimuthal quantum number to use in the basis. None means no restriction.	Int [or None]	No	None
M_max	Maximum value of the azimuthal quantum number to allow in the basis. None means no restriction.	Int [or None]	No	None
basis_type	Whether to use the n, L, S, M_L, or n, L, S, J, M_J basis. Specify using 'ML', or 'MJ', respectively.	String	No	'ML'

Method: energy

Energy relative to the ionisation energy.

Parameter	Description	Data type	Required	Default
state	State to calculate the energy of.	State	Yes	N/A
units	Unit of energy ['atomic', 'J', 'wavenumber', 'Hz', 'GHz']	String	No	'GHz'

Method: radiative_lifetime_all

Radiative lifetime of a state, considering all possible electric dipole allowed transitions.

Parameter	Description	Data type	Required	Default
state	State to calculate the radiative lifetime of.	State	Yes	N/A
units	Unit of time ['s', 'ms', 'us', 'ns']	String	No	's'

Method: transition_energy

Transition energy between two states.

Parameter	Description	Data type	Required	Default
state_1	State to calculate the transition energy from.	State	Yes	N/A
state_2	State to calculate the transition energy to.	State	Yes	N/A
units	Unit of energy ['atomic', 'J', 'wavenumber', 'Hz', 'GHz']	String	No	'GHz'

Method: transition_dipole_moment

Transition electric dipole moment between two states.

Parameter	Description	Data type	Required	Default
state_1	State to calculate the transition dipole moment from.	State	Yes	N/A
state_2	State to calculate the transition dipole moment to.	State	Yes	N/A
units	Unit of dipole moment ['atomic', 'debye', 'coloumb meter']	String	No	'debye'

Method: radiative_lifetime

Radiative lifetime between two electric dipole allowed states.

Parameter	Description	Data type	Required	Default
state_1	State to calculate the radiative lifetime from.	State	Yes	N/A
state_2	State to calculate the radiative lifetime to.	State	Yes	N/A
units	Unit of time ['s', 'ms', 'us', 'ns']	String	No	's'

Version information

Library	Version
Python	3.6.1 64bit [GCC 4.2.1 Compatible Apple LLVM 6.0 (clang-600.0.57)]
IPython	5.3.0
OS	Darwin 17.4.0 x86_64 i386 64bit
attr	17.4.0
matplotlib	2.0.2
numba	0.35.0
numpy	1.14.3
scipy	1.00.0
sympy	1.0
tqdm	4.15.0
version_information	1.0.3