4. Symmetry transformation & Conservation: Here is a potential V(x, y) = Ke¯a(x²+y²)1/2 y are coordinates of a particle (a) Find a continuous symmetry in the system √√x²+y2 " where x and (b) From the above symmetry find a conserved quantity This potential appears as a screened coulomb potential and as Yukawa potential in nuclear forces

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4. Symmetry transformation & Conservation: Here is a potential V(x, y) = Ke¯a(x²+y²)1/2
y are coordinates of a particle
(a) Find a continuous symmetry in the system
√√x²+y2
"
where x and
(b) From the above symmetry find a conserved quantity
This potential appears as a screened coulomb potential and as Yukawa potential in nuclear forces
Transcribed Image Text:4. Symmetry transformation & Conservation: Here is a potential V(x, y) = Ke¯a(x²+y²)1/2 y are coordinates of a particle (a) Find a continuous symmetry in the system √√x²+y2 " where x and (b) From the above symmetry find a conserved quantity This potential appears as a screened coulomb potential and as Yukawa potential in nuclear forces
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