Wonderful to start out with symmetry and group theory in a familiar Newtonian context. All serious theoretical physics students should be taught to think in terms of symmetries as soon as possible!
How do we know that these are the only symmetry of Newton's equation and there are no more symmetries? Is there a mathematical proof showing its completeness?
Great question. Newton's equations in the absence of external forces has a larger symmetry group that includes scaling of space and time. Search for "Schrodinger group".
"Symmetries in Classical Field Theory: Group Theory, first part: Invariances of Newton's Equations" Hidden symmetry or broken symmetry; what are the symmetries for Newton?
IIT Madras is the only institute which has made a deafening music to accompany each lecture. Couldn't you decrease the volume of the music? The volume of professor's voice is lower than your music. It is rather irritating.
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Wonderful to start out with symmetry and group theory in a familiar Newtonian context. All serious theoretical physics students should be taught to think in terms of symmetries as soon as possible!
Wow so Schrödinger equation is invariant over galilean group and Klein-Gordon equation is invariant over poincarè group?
What is the good material book/notes for this course?
How do we know that these are the only symmetry of Newton's equation and there are no more symmetries? Is there a mathematical proof showing its completeness?
Great question. Newton's equations in the absence of external forces has a larger symmetry group that includes scaling of space and time. Search for "Schrodinger group".
"Symmetries in Classical Field Theory: Group Theory, first part:
Invariances of Newton's Equations"
Hidden symmetry or broken symmetry; what are the symmetries for Newton?
I'm not sure how to tackle the exercise... how does one "fix the phase"?
IIT Madras is the only institute which has made a deafening music to accompany each lecture. Couldn't you decrease the volume of the music? The volume of professor's voice is lower than your music. It is rather irritating.
how will one get assignment ??
Problem sets are available here: sgovindarajan.wikidot.com/cftontheweb
@@SureshGovindarajan Sir, Preferred Text book for the course?
@@saadatsalman4578 There isn't a textbook that I followed. I hope to write it some day. But the list of references given are useful.
Galilean Boost and Galilean transformation
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