Discussion
Match the following
| Column I | Column II |
|---|---|
| (P) Associated Legendre polynomials | (I) Harmonic oscillator |
| (Q) Hermite polynomials | (II) Particle in a box model |
| (R) Associated Laguerre polynomials | (III) Angular part of H atom |
| (S) Trigonometric functions | (IV) Radial part of H atom |
Answer: A
The correct match is P→III, Q→I, R→IV, S→II.
- Associated Legendre polynomials appear in the spherical harmonics, the angular part of the hydrogen-atom wavefunctions.
- Hermite polynomials multiply a Gaussian in the harmonic oscillator wavefunctions.
- Associated Laguerre polynomials form the radial part of the hydrogen-atom wavefunctions.
- Trigonometric functions (sines) are the particle-in-a-box wavefunctions.
The other options assign Hermite polynomials to the hydrogen atom, swap the radial and angular parts, or give the particle in a box polynomial solutions, all of which contradict the standard solutions.
No comment is present. Be the first to comment.
Loading…
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development