Applied Physics I: Chapter 7: Quantum Mechanics
Degeneracy and non-degeneracy
Quantum Mechanics
Quantum Mechanics: Degeneracy and non-degeneracy
DEGENERACY
AND NON‒DEGENERACY
(i) Degeneracy:
It
is seen from equation (28) and equation (29), for several combination of
quantum numbers we have same energy eigen value but different eigen functions.
Such states and energy levels are called Degenerate
State.
The
three combination of quantum numbers (112), (121) and (211), which gives same
eigen value but different eigen functions are called 3 fold degenerate state.
Note:
If we have 6 combinations to give the same energy level and 6 eigen functions,
it is called 6 fold degenerate state.
(ii) Non‒Degeneracy:
For
various combinations of quantum number if we have same energy eigen value and
same (one) eigen function then such states and energy levels are called Non‒Degenerate State.
Example
For
nx = 2, ny = 2, nz = 2 we have E222
= 12h2 / 8ma2
and
ᴪ222=
√(8/a3) . sin(2πx/a).sin(2πy/a).sin(2πz/a)
Applied Physics I: Chapter 7: Quantum Mechanics : Tag: Applied Physics : Quantum Mechanics - Degeneracy and non-degeneracy
Applied Physics I: Chapter 7: Quantum Mechanics
Under Subject
Applied Physics I
PH25C01 1st Semester | 2025 Regulation | 1st Semester 2025 Regulation
Related Subjects
English Essentials I
EN25C01 1st Semester | 2025 Regulation | 1st Semester 2025 Regulation
தமிழர் மரபு - Heritage of Tamils
UC25H01 1st Semester | 2025 Regulation | 1st Semester 2025 Regulation
Applied Calculus
MA25C01 Maths 1 M1 - 1st Semester | 2025 Regulation | 1st Semester 2025 Regulation
Applied Physics I
PH25C01 1st Semester | 2025 Regulation | 1st Semester 2025 Regulation
Applied Chemistry I
CY25C01 1st Semester | 2025 Regulation | 1st Semester 2025 Regulation
Makerspace
ME25C04 1st Semester | 2025 Regulation | 1st Semester 2025 Regulation
Computer Programming C
CS25C01 1st Semester | 2025 Regulation | 1st Semester 2025 Regulation
Computer Programming Python
CS25C02 1st Semester | 2025 Regulation | 1st Semester 2025 Regulation
Fundamentals of Electrical and Electronics Engineering
EE25C03 1st Semester | 2025 Regulation | 1st Semester 2025 Regulation
Introduction to Mechanical Engineering
ME25C03 1st Semester | 2025 Regulation | 1st Semester 2025 Regulation
Introduction to Civil Engineering
CE25C01 1st Semester Civil Department | 2025 Regulation | 1st Semester 2025 Regulation
Essentials of Computing
CS25C03 1st Semester - AID CSE IT Department | 2025 Regulation | 1st Semester 2025 Regulation
Applied Physics I Laboratory
PH25C01 1st Semester practical Laboratory Manual | 2025 Regulation | 1st Semester Laboratory 2025 Regulation
Applied Chemistry I Laboratory
CY25C01 1st Semester practical Laboratory Manual | 2025 Regulation | 1st Semester Laboratory 2025 Regulation
Computer Programming C Laboratory
CS25C01 1st Semester practical Laboratory Manual | 2025 Regulation | 1st Semester Laboratory 2025 Regulation
Computer Programming Python Laboratory
CS25C02 1st Semester practical Laboratory Manual | 2025 Regulation | 1st Semester Laboratory 2025 Regulation
Engineering Drawing
ME25C01 EEE Mech Dept | 2025 Regulation | 2nd Semester 2025 Regulation
Basic Electronics and Electrical Engineering
EE25C04 1st Semester ECE Dept | 2025 Regulation | 2nd Semester 2025 Regulation