k 
wave number [1/m] 
k_{B} 
Boltzmann constant
J/K 
K_{m} 
mdimensional Krylov subspace 

Fermi wavelength [m] 

matrix eigenvalue 
m 
module of a linear congruential random number generator 
m_{e} 
electron mass
kg 
m_{e}^{*} 
effective electron mass [kg] 
n 
electron concentration; charge carrier concentration
[
] 

net carrier concentration
[
] 
N 
number of electrons; number of nodes 

time averaged number of electrons 
N_{c} 
number of chargenodes 
N_{f} 
number of floatingnodes 
N_{fm} 
number of nodes in a macronode 
N_{m} 
number of macronodes 
N_{p} 
number of potentialnodes 
N_{pq}(X) 
numerator polynomial for Padé approximation of
degree p+q 

eigenvalues [1/s] 

difference of two eigenvalues
[1/s] 

electron hole excitation energy 
p 
hole concentration [
] 
P_{i}(t) 
probability of state i 

Laplace transform of P_{i}(t) 

error probability 
p 
state probability vector 
p(S,t) 
probability density function in state space 

electrostatic potential [V] 

potential vector for potentialnodes and floatingnodes 

potential vector for chargenodes 

potential of a potentialnode or floatingnode from which
an electron tunnels 

potential of a potentialnode or floatingnode to which an
electron tunnels 

wave function 

complex conjugate wave function 

orthonormal eigenfunctions 
q 
charge [As] 

sum of charges [As] 

charge of macronode 
q 
charge vector 
q_{p,f} 
charge vector for potentialnodes and floatingnodes 
q_{c} 
charge vector for chargenodes 

critical charge for the Coulomb blockade [As] 
Q_{0} 
background charge 
r 
magnitude of space vector [m]; random number 
r 
space vector 
r_{n} 
on the interval [0,1] uniformly distributed random number 

integer random number 
R_{Q} 
quantum resistance

R_{T} 
tunnel resistance [
] 
R_{pq}(X) 
rational Padé approximation of order p+q 

spectral radius 
t 
time [s] 
T 
absolute temperature [K] 
T^{2} 
tunnel transmission probability [1] 

duration to the next tunnel event [s] 

average duration to the next tunnel event [s] 

angle [rad] 
V 
voltage [V] 
V_{b} 
bias voltage [V] 

input voltage [V] 

output voltage [V] 

threshold voltage [V] 

critical voltage for the Coulomb blockade [V] 
V(x) 
onedimensional potential function 
W 
work done by voltage sources [J] 
x 
xcoordinate [m] 