Physics for Information Science: Unit I: Electrical Properties of Materials
Degeneracy and Non-Degeneracy
Definition, Example | Electrical Properties of Materials
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.
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 
and
Physics for Information Science: Unit I: Electrical Properties of Materials : Tag: : Definition, Example | Electrical Properties of Materials - Degeneracy and Non-Degeneracy
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PH3256 2nd Semester CSE Dept | 2021 Regulation | 2nd Semester CSE Dept 2021 Regulation