Green's Function | Lecture-1 | CSIR-NET Advanced Topic | Physics Hub

Here,In this video we have described the concept of Green's function and its properties.In the next part we will complete the discussion on Green's function and will solve some problems.
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[physicshub]

The second property of Green's function should be read as :
G(x, t)=G(t, x)* i.e, Green's function is symmetric.
Like the video if you find it useful.

[SuchitraRamamoorthy]

Hello, physics hub! this is indeed a good attempt at explaining green's function. The beginning of the video is superb! However there are certain points, two in particular which I feel should be taken note off for they are crucial from a student's understanding point of view.
1) in the definition of greens function u have written that there are some initial condition or boundary conditions given in the question. Please note that initial conditions and boundary conditions are slightly different. Initial conditions talk about the advancement (or how the function develops) of the given function in time whereas the boundary conditions talk about the advancement of function in space. And the variable t which we are using shouldn't be confused time; its just an arbitrary point between our interval a and b .
2) most important in the properties of green's function note the first property u wrote. U have written it aa greens function is discontinuous at x=t. No! It isn't! The property is :- *the first order derivate of green's function* is discontinuous at x equal to t and the amount of discontinuity is given by what u wrote on the next line. The second property is green's function is continuous at x=t meaning that the left hand limit and right hand limit as x approaches t are equal. Also whatever boundary condition given for y(x) is also satisfied by the greens function. For example if its given in question that y(0)=0 and y(1) = 0 then G(0, t)= 0 and G(1, t)=0. The boundary conditions also tell us about what our interval actually is like here a =0 and b =1.
Kindly take a note of this.
Apart from this atleast one problem solved could have justified what u explained. Finding out an actual application of this topic could take ur video to the next level!
Thankyou.

[sofiashaqhussain]

Kindly tell whether in impulsive function the change is impacted for a short duration or no limit on duration.

[physicshub]

Check link in the description to get 2nd part.

[ajilbabu]

The last property you mentiond is the greens function a real?even funcion
If a functon is equal to its complex conjugate then its a real function how do you say the symmetry? Are they same ?

[TAPASDAS-iyzk]

Sir, is there any interpretation of greens function in quantum machanical syatem?

[aradhanaswami]

Derivative of green's fn is discontinous, greens fn itself is a continuous fn....

[phd_gaanwala]

Sir, please make a video on Dirac Delta Function and discussion of previous year question regarding this..

[gateaspirant]

Sir, Please don't put background music.

[babajighule]

First derivative of greens function is discontinuous not green function...

[jasvindersinghalearner]

Be specific to numerical approach sir, don't deal with so much theory, , explain via example

[mohammedsrivastava]

Like any other videos this also just states the properties not prooves it!

[shahriarrubiat]

Sir please kindly remove the background music. We just don't need the background music.We just need your voice.I hope you will understand ☺