Module I
Mathematical Methods of Physics
Curinlinear coordinates, circular cylindrical and spherical polar coordinates Victor algebra and Victor calculus,
Matrices – Cayley Hamilton Theorem, Eegin values and Eegin vectors.
Special Functions (Gama, Beta, Hermite, Bessel, Laguerre, Legendre)
Complex Analysis – Analytic function, Taylor and Laurent expansions, poles, residue and evaluation of integrals.
Fourier Series, Fourier and Laplace transforms. Tensors, Introductory group theory, representation of groups. Irreducible representation SU (2), SU(3).
Module II
Classical Mechanics
Newtons laws, Lagrangian and Hamiltonian formalism. Canonical Transformation and Poison Bracket
Hamilton Jacobi Theory
Rigid body Dynamics -
Small oscillations
Special theory of relativity
Non leniar Dynamics – logistic map – bifurcation – attractors – fractal, fractal dimension.
Module III
Quantum Mechanics
Wave particle duality, Fundamental postulates of Q.M., Schrodinger picture & Heisenberg picture Eigen value problem (particle in a box, harmonic ocillator). Tunneling through a barrier.
Heisenberg uncertainly principle. Algebra of linear vector space, Dirac notation, Angular Momentum algebra (spin, addition of angular momentum).
Time independent perturbation theory and applications :
Variational method.
Time dependent perturbation theory and Fermi Golden Rule.
Elementary theory of Scattering phase shifts, partial waves, Born approximation.
Relaturistic Quantum Mechanics : Klein Gordon – Dirac equations.
Module IV A)
Electro Dynamics & Statistical Physics
Review of Electrostatics and Magnetostatics (Gausi's law, Biot Savart Law, Amperes theorum)
Maxivells equation in free space and linear isotropic media – boundary conditions on the fields at interfaces. Sealar and vector potentials.
(Retarded potential Lienard Wiehirt potential, field of a moving point charge)
Electromagnetic waves in free space. Dielectrics and conductors. Reflection, refraction, polarisation Transmission lines and Wave guides.
Statistical Physics
B) Laws of thermodynamics. Thermodynamic potentials
Phase space, micro and macrostates, Micro canonical, canonical and grand canonical ensembles and partition funtions. Classical and quantum statistics, Ideal Bose and Fermi gases.
First and second order phase transitions. Diamagnetism, paramagnetism an ferromagnetism.
Module V
Spectroscopy and Condensed Matter Physics
A) Spectroscopy
Introduction to Atomic Spectroscopy :- LS coupling, - J J coupling, - Zeeman effect, - Stark effect, Lande - g factor
Electronic, rotational, vibrational and Raman Spectra of diatomic molecules, selection rules. Spin Resonance Spectroscopy : NMR, ESR, Mossbauer Spectroscopy.
Laser : Spontaneous and stimulated emission, Einstein coefficients. Optical pumping, population inversions, rate equation. Modes of resonators and coherence length.
B) Condensed Matter Physics
Bravais lattice, Reciprocal lattice. Diffraction and the structure factor. Brillouin zone.
Vibractions of crystals with monoatomic and diatomic basis – Phonon heat capacity – Density of states in one an three dimensions – Einstein and Debye models
Free electron theory and electronic specific heat.
Hall Effect
Super conductivity Type I and Type II superconductors.
Josephson functions, BCS theory
Module VI
Nuclear and Particle Physics & Electronics
A) Nuclear Properties : size shape and charge distribution, spin and parity – Binding energy, semi empirical mans formula, liquid drop model, Nature of nuclear force. Elmentary ideas of alpha, beta and gamma decay and their selection rules. Fission and fusion. Nuclear for reactions. Reaction crossection, Q valve.
Elementary particles and their Quantum numbers.
Quark Model
B) Electronics : Semi conductor devices (diodes, functions, transistors, FET) Amplifuro, Oscillators. Opto electronic devices (solar cells, photo detection, LED), Operational amplifiers and their applications. Digital techniques and applications (registers, counters, comparators) A/D and D/A converters.
Module VII
Recent Developments in Physics
Nanotechnology
Properties of metal, semi conductor, rare gas and molecular nanoclusters – superconducting fullerene – quantum confined meterials – quantum wells, wires, dots and rings – meta materials – graphene
Non Linear Dynamics
Soliton – Effect of nonlinearity and dispersion.
Non Conventional Energy Resources
Wind Energy, Solar Energy, Tidal energy, Bio.
Evolution of Universe
Big Bang Theory : Spontaneous symmetry breaking, Higgs Boson
Basis of Quantum Computing
Research Methodology/Teaching Aptitude
I. TEACHING APTITUDE
• Teaching: Nature, objectives, characteristics and basic requirements;
• Learner's characteristics;
• Factors affecting teaching;
• Methods of teaching;
• Teaching aids;
• Evaluation systems.
II. RESEARCH APTITUDE
• Research: Meaning, Characteristics and types;
• Steps of research;
• Methods of research;
• Research Ethics;
• Paper, article, workshop, seminar, conference and symposium;
• Thesis writing: its characteristics and format.
Salient Features of Indian Constitution
Salient features of the Constitution - Preamble- Its significance and its place in the interpretation of the Constitution.
Fundamental Rights - Directive Principles of State Policy - Relation between Fundamental Rights and Directive Principles - Fundamental Duties. Executive - Legislature - Judiciary - Both at Union and State Level. - Other Constitutional Authorities. Centre-State Relations - Legislative - Administrative and Financial.
Services under the Union and the States. Emergency Provisions.
Amendment Provisions of the Constitution.
Social Welfare Legislations and Programmes
Social Service Legislations like Right to Information Act, Prevention of atrocities against Women & Children, Food Security Act, Environmental Acts etc. and Social Welfare Programmes like Employment Guarantee Programme, Organ and Blood Donation etc.
HIGHER SECONDARY SCHOOL TEACHER - PHYSICS - KERALA HIGHER SECONDARY EDUCATION - PREVIOUS (SOLVED) QUESTION PAPER - CLICK HERE
Mathematical Methods of Physics
Curinlinear coordinates, circular cylindrical and spherical polar coordinates Victor algebra and Victor calculus,
Matrices – Cayley Hamilton Theorem, Eegin values and Eegin vectors.
Special Functions (Gama, Beta, Hermite, Bessel, Laguerre, Legendre)
Complex Analysis – Analytic function, Taylor and Laurent expansions, poles, residue and evaluation of integrals.
Fourier Series, Fourier and Laplace transforms. Tensors, Introductory group theory, representation of groups. Irreducible representation SU (2), SU(3).
Module II
Classical Mechanics
Newtons laws, Lagrangian and Hamiltonian formalism. Canonical Transformation and Poison Bracket
Hamilton Jacobi Theory
Rigid body Dynamics -
Small oscillations
Special theory of relativity
Non leniar Dynamics – logistic map – bifurcation – attractors – fractal, fractal dimension.
Module III
Quantum Mechanics
Wave particle duality, Fundamental postulates of Q.M., Schrodinger picture & Heisenberg picture Eigen value problem (particle in a box, harmonic ocillator). Tunneling through a barrier.
Heisenberg uncertainly principle. Algebra of linear vector space, Dirac notation, Angular Momentum algebra (spin, addition of angular momentum).
Time independent perturbation theory and applications :
Variational method.
Time dependent perturbation theory and Fermi Golden Rule.
Elementary theory of Scattering phase shifts, partial waves, Born approximation.
Relaturistic Quantum Mechanics : Klein Gordon – Dirac equations.
Module IV A)
Electro Dynamics & Statistical Physics
Review of Electrostatics and Magnetostatics (Gausi's law, Biot Savart Law, Amperes theorum)
Maxivells equation in free space and linear isotropic media – boundary conditions on the fields at interfaces. Sealar and vector potentials.
(Retarded potential Lienard Wiehirt potential, field of a moving point charge)
Electromagnetic waves in free space. Dielectrics and conductors. Reflection, refraction, polarisation Transmission lines and Wave guides.
Statistical Physics
B) Laws of thermodynamics. Thermodynamic potentials
Phase space, micro and macrostates, Micro canonical, canonical and grand canonical ensembles and partition funtions. Classical and quantum statistics, Ideal Bose and Fermi gases.
First and second order phase transitions. Diamagnetism, paramagnetism an ferromagnetism.
Module V
Spectroscopy and Condensed Matter Physics
A) Spectroscopy
Introduction to Atomic Spectroscopy :- LS coupling, - J J coupling, - Zeeman effect, - Stark effect, Lande - g factor
Electronic, rotational, vibrational and Raman Spectra of diatomic molecules, selection rules. Spin Resonance Spectroscopy : NMR, ESR, Mossbauer Spectroscopy.
Laser : Spontaneous and stimulated emission, Einstein coefficients. Optical pumping, population inversions, rate equation. Modes of resonators and coherence length.
B) Condensed Matter Physics
Bravais lattice, Reciprocal lattice. Diffraction and the structure factor. Brillouin zone.
Vibractions of crystals with monoatomic and diatomic basis – Phonon heat capacity – Density of states in one an three dimensions – Einstein and Debye models
Free electron theory and electronic specific heat.
Hall Effect
Super conductivity Type I and Type II superconductors.
Josephson functions, BCS theory
Module VI
Nuclear and Particle Physics & Electronics
A) Nuclear Properties : size shape and charge distribution, spin and parity – Binding energy, semi empirical mans formula, liquid drop model, Nature of nuclear force. Elmentary ideas of alpha, beta and gamma decay and their selection rules. Fission and fusion. Nuclear for reactions. Reaction crossection, Q valve.
Elementary particles and their Quantum numbers.
Quark Model
B) Electronics : Semi conductor devices (diodes, functions, transistors, FET) Amplifuro, Oscillators. Opto electronic devices (solar cells, photo detection, LED), Operational amplifiers and their applications. Digital techniques and applications (registers, counters, comparators) A/D and D/A converters.
Module VII
Recent Developments in Physics
Nanotechnology
Properties of metal, semi conductor, rare gas and molecular nanoclusters – superconducting fullerene – quantum confined meterials – quantum wells, wires, dots and rings – meta materials – graphene
Non Linear Dynamics
Soliton – Effect of nonlinearity and dispersion.
Non Conventional Energy Resources
Wind Energy, Solar Energy, Tidal energy, Bio.
Evolution of Universe
Big Bang Theory : Spontaneous symmetry breaking, Higgs Boson
Basis of Quantum Computing
Research Methodology/Teaching Aptitude
I. TEACHING APTITUDE
• Teaching: Nature, objectives, characteristics and basic requirements;
• Learner's characteristics;
• Factors affecting teaching;
• Methods of teaching;
• Teaching aids;
• Evaluation systems.
II. RESEARCH APTITUDE
• Research: Meaning, Characteristics and types;
• Steps of research;
• Methods of research;
• Research Ethics;
• Paper, article, workshop, seminar, conference and symposium;
• Thesis writing: its characteristics and format.
Salient Features of Indian Constitution
Salient features of the Constitution - Preamble- Its significance and its place in the interpretation of the Constitution.
Fundamental Rights - Directive Principles of State Policy - Relation between Fundamental Rights and Directive Principles - Fundamental Duties. Executive - Legislature - Judiciary - Both at Union and State Level. - Other Constitutional Authorities. Centre-State Relations - Legislative - Administrative and Financial.
Services under the Union and the States. Emergency Provisions.
Amendment Provisions of the Constitution.
Social Welfare Legislations and Programmes
Social Service Legislations like Right to Information Act, Prevention of atrocities against Women & Children, Food Security Act, Environmental Acts etc. and Social Welfare Programmes like Employment Guarantee Programme, Organ and Blood Donation etc.
TOWARDS A NEW SOCIETY
Introduction to English education - various missionary organisations and their functioning- founding
of educational institutions, factories.printing press etc.
Efforts To Reform The Society
(A) Socio-Religious reform Movements
SNDP Yogam, Nair Service Society, Yogakshema Sabha, Sadhu Jana Paripalana Sangham, Vaala Samudaya Parishkarani Sabha, Samathwa Samajam, Islam Dharma Paripalana Sangham, Prathyaksha Raksha Daiva Sabha, Sahodara Prasthanam etc.
(B) Struggles and Social Revolts
Upper cloth revolts.Channar agitation, Vaikom Sathyagraha, Guruvayoor Sathyagraha, Paliyam Sathyagraha. Kuttamkulam Sathyagraha, Temple Entry Proclamation, Temple Entry Act .Malyalee Memorial, Ezhava Memorial etc. Malabar riots, Civil Disobedience Movement, Abstention movement etc.
Role Of Press In Renaissance
Malayalee, Swadeshabhimani, Vivekodayam, Mithavadi, Swaraj, Malayala Manorama, Bhashaposhini, Mathnubhoomi, Kerala Kaumudi, Samadarsi, Kesari, AIAmeen, Prabhatham, Yukthivadi, etc
Awakening Through Literature
Novel, Drama, Poetry, Purogamana Sahithya Prasthanam, Nataka Prashtanam, Library movement etc.
Women And Social Change
Parvathi Nenmenimangalam, Arya Pallam, A V Kuttimalu Amma, Lalitha Prabhu.Akkamma Cheriyan, Anna Chandi, Lalithambika Antharjanam and others
Leaders Of Renaissance
Thycaud Ayya Vaikundar, Sree Narayana Guru, Ayyan Kali.Chattampi Swamikal, Brahmananda Sivayogi, Vagbhadananda, Poikayil Yohannan(Kumara Guru) Dr Palpu, Palakkunnath Abraham Malpan, Mampuram Thangal, Sahodaran Ayyappan, Pandit K P Karuppan, Pampadi John Joseph, Mannathu Padmanabhan, V T Bhattathirippad, Vakkom Abdul Khadar Maulavi, Makthi Thangal, Blessed Elias Kuriakose Chaavra, Barrister G P Pillai, TK Madhavan, Moorkoth Kumaran, C. Krishnan, K P Kesava Menon, Dr.Ayyathan Gopalan, C V Kunjuraman, Kuroor Neelakantan Namboothiripad, Velukkutty Arayan, K P Vellon, P K Chathan Master, K Kelappan, P. Krishna Pillai, A K Gopalan, T R Krishnaswami Iyer, C Kesavan. Swami Ananda Theerthan , M C Joseph, Kuttippuzha Krishnapillai and others
Literary Figures
Kodungallur Kunhikkuttan Thampuran, KeralaVarma Valiyakoyi Thampuran, Kandathil Varghese Mappila. Kumaran Asan, Vallathol Narayana Menon, Ulloor S Parameswara Iyer, G Sankara Kurup, Changampuzha Krishna Pillai, Chandu Menon, Vaikom Muhammad Basheer. Kesav Dev, Thakazhi Sivasankara Pillai, Ponkunnam Varky, S K Pottakkad and others
GENERAL KNOWLEDGE AND CURRENT AFFAIRS
(A) Socio-Religious reform Movements
SNDP Yogam, Nair Service Society, Yogakshema Sabha, Sadhu Jana Paripalana Sangham, Vaala Samudaya Parishkarani Sabha, Samathwa Samajam, Islam Dharma Paripalana Sangham, Prathyaksha Raksha Daiva Sabha, Sahodara Prasthanam etc.
(B) Struggles and Social Revolts
Upper cloth revolts.Channar agitation, Vaikom Sathyagraha, Guruvayoor Sathyagraha, Paliyam Sathyagraha. Kuttamkulam Sathyagraha, Temple Entry Proclamation, Temple Entry Act .Malyalee Memorial, Ezhava Memorial etc. Malabar riots, Civil Disobedience Movement, Abstention movement etc.
Role Of Press In Renaissance
Malayalee, Swadeshabhimani, Vivekodayam, Mithavadi, Swaraj, Malayala Manorama, Bhashaposhini, Mathnubhoomi, Kerala Kaumudi, Samadarsi, Kesari, AIAmeen, Prabhatham, Yukthivadi, etc
Awakening Through Literature
Novel, Drama, Poetry, Purogamana Sahithya Prasthanam, Nataka Prashtanam, Library movement etc.
Women And Social Change
Parvathi Nenmenimangalam, Arya Pallam, A V Kuttimalu Amma, Lalitha Prabhu.Akkamma Cheriyan, Anna Chandi, Lalithambika Antharjanam and others
Leaders Of Renaissance
Thycaud Ayya Vaikundar, Sree Narayana Guru, Ayyan Kali.Chattampi Swamikal, Brahmananda Sivayogi, Vagbhadananda, Poikayil Yohannan(Kumara Guru) Dr Palpu, Palakkunnath Abraham Malpan, Mampuram Thangal, Sahodaran Ayyappan, Pandit K P Karuppan, Pampadi John Joseph, Mannathu Padmanabhan, V T Bhattathirippad, Vakkom Abdul Khadar Maulavi, Makthi Thangal, Blessed Elias Kuriakose Chaavra, Barrister G P Pillai, TK Madhavan, Moorkoth Kumaran, C. Krishnan, K P Kesava Menon, Dr.Ayyathan Gopalan, C V Kunjuraman, Kuroor Neelakantan Namboothiripad, Velukkutty Arayan, K P Vellon, P K Chathan Master, K Kelappan, P. Krishna Pillai, A K Gopalan, T R Krishnaswami Iyer, C Kesavan. Swami Ananda Theerthan , M C Joseph, Kuttippuzha Krishnapillai and others
Literary Figures
Kodungallur Kunhikkuttan Thampuran, KeralaVarma Valiyakoyi Thampuran, Kandathil Varghese Mappila. Kumaran Asan, Vallathol Narayana Menon, Ulloor S Parameswara Iyer, G Sankara Kurup, Changampuzha Krishna Pillai, Chandu Menon, Vaikom Muhammad Basheer. Kesav Dev, Thakazhi Sivasankara Pillai, Ponkunnam Varky, S K Pottakkad and others
GENERAL KNOWLEDGE AND CURRENT AFFAIRS
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