Summer course 2018 - A Random walk in astro-physics
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Spontaneous and Stimulated Emission of Radiation Lecture - 02
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Quantum theory of radiation
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The opening sentence of Einstein's 1917 paper:
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But Einstein wanted his quantum theory to give Planck's Law!
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Einstein's profound insight in 1917:
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Definition of the Einstein coefficients in Quantum Mechanics
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Spontaneous Emission
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Stimulated emission
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Absorption and Emission coefficients in terms of the Einstein Coefficients.
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Absorption coefficient alpha
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It is useful to regard stimulated emission as negative absorption .
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Inverted population
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Two-state systems in Quantum Mechanics
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Zeeman splitting of energy levels
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Hyperfine splitting of energy levels
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Fine structure of energy levels of electron in atoms
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Hyperfine Splitting
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Hyperfine splitting of ground state of hydrogen atom Enrico Fermi, 1930
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After some standard steps,
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Radial wave function of Is electron in a hydrogen atom
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Hyperfine splitting of n=1 level of hydrogen atom
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Ammonia molecule
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Electric dipole moment of Ammonia molecule
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Two-state systems in Quantum Mechanics
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Maser
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Ammonia Maser
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Hydrogen Maser
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The Nobel Prize in Physics 1964
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3-level laser
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Celestial Masers
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Next Lecture - The Interstellar Medium
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Q&A
Description:
Explore the fascinating world of quantum radiation in this comprehensive lecture on spontaneous and stimulated emission by Professor G Srinivasan. Delve into Einstein's groundbreaking 1917 paper and his profound insights that led to the development of quantum theory. Examine key concepts such as Einstein coefficients, absorption and emission processes, and inverted population. Investigate two-state systems in quantum mechanics, including Zeeman and hyperfine splitting of energy levels. Discover the intricacies of the hydrogen atom's hyperfine structure and the ammonia molecule's properties. Learn about masers, including ammonia and hydrogen variants, and their significance in astrophysics. Gain insights into celestial masers and their role in understanding the universe. This lecture, part of the "Summer course 2018 - A Random walk in astro-physics" series, provides a deep dive into the physics underlying various astronomical phenomena, from interstellar hydrogen clouds to active galactic nuclei.
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Spontaneous and Stimulated Emission of Radiation by Professor G Srinivasan