3 Dimension Infinite Potential Well - Edubirdie

University:
Santa Fe College
Course:
PHY 2048 | General Physics 1 with Calculus
Academic year:

2024
Views:

367

Pages:

3
Author:

Jabin F.

3-D Infinite Poth Well: V(x, y, z) = { 0, 0 < x < Lx, 0 < y < Ly, 0 < z < Lz ∞, otherwise V(x, y) = { 0, 0 < x < Lx, 0 < y < Ly ∞, otherwise V(x, z) = { 0, 0 < x < Lx, 0 < z < Lz ∞, otherwise V(x) = { 0, 0 < x < Lx ∞, otherwise V(y) = { 0, 0 < y < Ly ∞, otherwise V(z) = { 0, 0 < z < Lz ∞, otherwise V(x, y, z) = V(x) + V(y) + V(z) ψ(x) = sqrt(2/Lx) * sin(nxπx/Lx), 0 < x < Lx 0, otherwise Ex = (nx^2 * π^2 * h^2) / (2m * Lx^2), nx = 1, 2, 3, ... ∞ Ey = (ny^2 * π^2 * h^2) / (2m * Ly^2), Ez = (nz^2 * π^2 * h^2) / (2m * Lz^2), ny, nz = 1, 2, 3, ... ∞ ψ(y) = sqrt(2/Ly) * sin(nyπy/Ly), 0 < y < Ly 0, otherwise ψ(z) = sqrt(2/Lz) * sin(nzπz/Lz), 0 < z < Lz 0, otherwise E = Enx + Ey + Ez = (nx^2 * π^2 * h^2) / (2mLx^2) + (ny^2 * π^2 * h^2) / (2mLy^2) + (nz^2 * π^2 * h^2) / (2mLz^2) Enx, ny, nz = (π^2 * h^2) / (2m) * ((nx^2 / Lx^2) + (ny^2 / Ly^2) + (nz^2 / Lz^2)) Generally non-deg. nx, ny, nz = 1, 2, 3, ... ∞ ψnx, ny, nz (x, y, z) = ψnx (x) * ψny (y) * ψnz (z) = sqrt(2 / LxLyLz) * sin(nxπx / Lx) * sin(nyπy / Ly) * sin(nzπz / Lz) 0 <= x <= Lx, 0 <= y <= Ly, 0 <= z <= Lz 0, otherwise nx, ny, nz = 1, 2, 3, ... ∞ ψ(x)|x=0 = ψ(x)|x=Lx = 0, ψ(y)|y=0 = ψ(y)|y=Ly = 0, ψ(z)|z=0 = ψ(z)|z=Lz = 0

Related Documents

3 Dimension Infinite Potential Well

3 Dimension Infinite Potential Well - Page 1

3 Dimension Infinite Potential Well - Page 2

3 Dimension Infinite Potential Well - Page 3

of 3

Recommended Documents

Degeneracy Discriminant Factor

Degeneracy Discriminant Factor

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Maxwell's Velocity Distribution

Maxwell's Velocity Distribution

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Answer Key # 1 The Gibbs Free Energy

Answer Key # 1 The Gibbs Free Energy

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Answer Key

General Physics: Answer Key # 23

General Physics: Answer Key # 23

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Answer Key

Rules for Multiplication

Rules for Multiplication

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Basis Physics Notes

Basis Physics Notes

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Physically meaning of scalar product

Physically meaning of scalar product

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Eigen Value

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Anti Hermitten Operator

Anti Hermitten Operator

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Projection Operator

Projection Operator

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Singular and Non Singular Operator

Singular and Non Singular Operator

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Unitary Operator

Unitary Operator

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

New Documents from this Course

Modulus Study Documents

Modulus Study Documents

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Synchronous Counter

Synchronous Counter

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Full-Subtractor Coursework Materials

Full-Subtractor Coursework Materials

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Multiplier - Academic Notes

Multiplier - Academic Notes

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Comparator - Educational Materials

Comparator - Educational Materials

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Ripple Carry Adder

Ripple Carry Adder

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

MUX (Multiplexer) - Study Materials

MUX (Multiplexer) - Study Materials

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Assignment 2: Q and A

Assignment 2: Q and A

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Answer Key

Sequential Circuit - Study Note

Sequential Circuit - Study Note

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Latch (Temporary Storage of Bits)

Latch (Temporary Storage of Bits)

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Set-Reset Flip-Flop

Set-Reset Flip-Flop

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note

Delay Flip Flop

Delay Flip Flop

Santa Fe College PHY 2048 | General Physics 1 with Calculus

Lecture Note