Curriculum | B.Sc (Non- Medical) | Title Quantum Mechanics Code 09010504

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Topic

Learning Objectives

Teaching guidelines

Methodology

Time

1

Origin of Quantum Mechanics
1. Failure of (Classical) E.M. Theory.
2.Quantum theory of radiation (old quantum theory)
3.Photon, photoelectric effect
4.Einstein’s photoelectric equation
5. Compton effect (theory and result).
6.Inadequancy of old quantum theory,
7. De-Broglie hypothesis.
8. Davisson and Germer experiment.
9. G.P. Thomson experiment. Phase velocity group velocity,
10. Heisenberg’s uncertainty principle.
11.Time-energy and angular momentum,
12.Position uncertainty
13.Uncertainty principle from de-Broglie wave, (wave-particle duality).
14. Gamma Ray Microscope, Electron diffraction from a slit.

To discuss Failure of (Classical) E.M. Theory, Quantum theory of radiation (old quantum theory), Photon, photoelectric effect, Einstein’s photoelectric equation, Compton effect (theory and result), Inadequancy of old quantum theory, De-Broglie hypothesis,
Davisson and Germer experiment, G.P. Thomson experiment. Phase velocity group velocity, Heisenberg’s uncertainty principle, Time-energy and angular momentum, Position uncertainty, Uncertainty principle from de-Broglie wave, (wave-particle duality), Gamma Ray Microscope, Electron diffraction from a slit.

To cover explanation and derivation of  Failure of (Classical) E.M. Theory, Quantum theory of radiation (old quantum theory), photoelectric effect, Einstein’s photoelectric equation, Compton effect (theory and result), Inadequancy of old quantum theory, De-Broglie hypothesis, Davisson and Germer experiment, G.P. Thomson experiment, Phase velocity group velocity, Heisenberg’s uncertainty principle, Time-energy and angular momentum, Position uncertainty,Uncertainty principle from de-Broglie wave, (wave-particle duality), Gamma Ray Microscope, Electron diffraction from a slit.

1. Conventional Method         ( White- Board Teaching)
2.Power Point Presentation

13 hours

2

Schrodinger Wave Equation
1.Derivation of time dependent Schrodinger wave equation
2.Eigen values, Eigen functions
3. Wave functions and its significance.
4. Normalization of wave function
5. Concept of observable and operator.
6.Solution of Schrodinger equation for harmonic oscillator
7. Ground states and excited states.

Derivation of time dependent Schrodinger wave equation, Eigen values, Eigen functions, Wave functions and its significance, Normalization of wave function, Concept of observable and operator, Solution of Schrodinger equation for harmonic oscillator, Ground states and excited states.

To cover basic concept and Derivation of time dependent Schrodinger wave equation, Eigen values, Eigen functions, wave functions and its significance, Normalization of wave function, Concept of observable and operator, Solution of Schrodinger equation for harmonic oscillator, Ground states and excited states.

1. Conventional Method         ( White- Board Teaching)
2.Power Point Presentation

8 hours

3

Application of Schrodinger Wave Equation
1. Application of Schrodinger equation in the solution of the following one-dimensional problems 
2. Free particle in one dimensional box (solution of Schrodinger wave equation
3. Eigen function, eigen values, quantization of energy and momentum,
4. Nodes and antinodes, zero point energy). 
5.(i) One-dimensional potential barrier,
6. E>V0 (Reflection and Transmission coefficient).
7.(ii) One-dimensional potential barrier,
8. E>V0 (Reflection Coefficient, penetration of leakage coefficient, penetration depth).

Application of Schrodinger equation in the solution of the following one-dimensional problems,  Free particle in one dimensional box (solution of Schrodinger wave equation, Eigen function, eigen values, quantization of energy and momentum, Nodes and antinodes, zero point energy).  (i) One-dimensional potential barrier, E>V0 (Reflection and Transmission coefficient), (ii) One-dimensional potential barrier, E>V0 (Reflection Coefficient, penetration of leakage coefficient, penetration depth).

To cover explanation and application of Schrodinger equation in the solution of the following one-dimensional problems, Free particle in one dimensional box (solution of Schrodinger wave equation, Eigen function, eigen values, quantization of energy and momentum, nodes and antinodes, zero point energy), (i) One-dimensional potential barrier,  E>V0 (Reflection and Transmission coefficient), (ii) One-dimensional potential barrier, E>V0 (Reflection Coefficient,   penetration of leakage coefficient, penetration depth).

1. Conventional Method         ( White- Board Teaching)
2.Power Point Presentation

9 hours