Quantum Mechanics and Spectroscopy (B.Sc Physics)

Wave mechanics, Schrodinger equation and its solutions, hydrogen atom, and atomic and molecular spectra.

6 MonthsDuration 6Chapters26Topics

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Syllabus · पाठ्यक्रम

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01Unit 1: Matter Waves and Uncertainty 4 topics

de Broglie hypothesis
Wave packets; phase and group velocity
Heisenberg's uncertainty principle and applications
Wave-particle duality

02Unit 2: Schrodinger Equation and Postulates 5 topics

Time-dependent and time-independent Schrodinger equations
Born interpretation and normalisation
Operators, eigenvalues and expectation values
Commutators
Probability current

03Unit 3: One-Dimensional Problems 4 topics

Particle in a one-dimensional box
Step potential
Potential barrier and tunnelling
Linear harmonic oscillator

04Unit 4: Hydrogen Atom and Angular Momentum 4 topics

Schrodinger equation in spherical coordinates
Quantum numbers and degeneracy
Orbital angular momentum operators
Electron spin and Stern-Gerlach experiment

05Unit 5: Atomic Spectra 5 topics

Spectra of hydrogen and alkali atoms
Spin-orbit coupling and fine structure
Normal and anomalous Zeeman effect
Stark effect
LS and jj coupling

06Unit 6: Molecular Spectra 4 topics

Rotational spectra of diatomic molecules
Vibrational spectra
Raman effect: Stokes and anti-Stokes lines
Electronic spectra (basics)

About

You will be able to

Calculate de Broglie wavelengths and apply the uncertainty principle
Use the Schrodinger equation, operators and expectation values
Solve particle in a box, barrier and harmonic oscillator problems
Describe hydrogen atom quantum numbers and electron spin
Explain fine structure, Zeeman and Stark effects
Interpret rotational, vibrational and Raman spectra

Who it is for

B.Sc students with Physics, Semester 5 (UP state universities, NEP 2020)
Students preparing for university semester exams and entrance tests such as IIT-JAM / CUET-PG (basic level)

What you need

Enrolled in B.Sc with Physics as a major subject
Class 12 Physics and Mathematics
Scientific calculator
Modern physics from Semester 4

Questions

Which syllabus does this course follow?

It follows the UP State Universities NEP 2020 common minimum syllabus for B.Sc. Where your own university's syllabus differs, the centre teaches your university's units and papers.

Are numericals practised?

Yes. Every unit has solved examples and practice numericals at university exam level.

Is the Raman effect covered in depth?

Yes - classical and quantum explanations, Stokes / anti-Stokes lines and C.V. Raman's 1928 discovery are covered.