Appendices
Appendix 1: List of Symbols
Because of the multiple fields involved and the use of one-, two-, and threedimensional theories, some of the symbols have different meanings in different
chapters or sections:
ε 0
Vacuum permittivity
μ 0
Vacuum permeability
q
Elementary charge
k B
Boltzmann constant
i
Imaginary unit
*
Complex conjugate
i, j, k, l
Three-dimensional tensor indices. Range: 1, 2, 3
p, q
Three-dimensional matrix indices. Range: 1, 2, 3, 4, 5, 6
x k
Cartesian coordinates
δ ij
Kronecker delta
ρ
Mass density
f j
Distributed body force
u k
Mechanical displacement vector
T kl
Stress tensor
S kl
Strain tensor
φ
Electrostatic potential
ψ
Magnetic potential
E i
Electric field
P i
Electric polarization per unit volume
D i
Electric displacement
B i
Magnetic flux or induction
H i
Magnetic field
p, n
Concentrations of holes and electrons
N
À
A , N
þ
D
Concentrations of ionized accepters and donors
© Springer Nature Switzerland AG 2020
J. Yang, Analysis of Piezoelectric Semiconductor Structures,
https://doi.org/10.1007/978-3-030-48206-0
213
Appendix 1: List of Symbols
Because of the multiple fields involved and the use of one-, two-, and threedimensional theories, some of the symbols have different meanings in different
chapters or sections:
ε 0
Vacuum permittivity
μ 0
Vacuum permeability
q
Elementary charge
k B
Boltzmann constant
i
Imaginary unit
*
Complex conjugate
i, j, k, l
Three-dimensional tensor indices. Range: 1, 2, 3
p, q
Three-dimensional matrix indices. Range: 1, 2, 3, 4, 5, 6
x k
Cartesian coordinates
δ ij
Kronecker delta
ρ
Mass density
f j
Distributed body force
u k
Mechanical displacement vector
T kl
Stress tensor
S kl
Strain tensor
φ
Electrostatic potential
ψ
Magnetic potential
E i
Electric field
P i
Electric polarization per unit volume
D i
Electric displacement
B i
Magnetic flux or induction
H i
Magnetic field
p, n
Concentrations of holes and electrons
N
À
A , N
þ
D
Concentrations of ionized accepters and donors
© Springer Nature Switzerland AG 2020
J. Yang, Analysis of Piezoelectric Semiconductor Structures,
https://doi.org/10.1007/978-3-030-48206-0
213