Question 7. Consider a one-parameter group G of transformations defined by y 1-ay 1- ay (i) Find the operator (generator) representation X of the group G. (ii) Find an invariant under the group G. (iii) Find the canonical variables for the group G. T Y

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Chapter2: Second-order Linear Odes
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Symmetry Analysis of Differential Equations

Question 7.
Consider a one-parameter group G of transformations defined by
X
y
1-ay'
1 - ay
(i) Find the operator (generator) representation X of the group G.
(ii) Find an invariant under the group G.
(iii) Find the canonical variables for the group G.
I =
y =
Transcribed Image Text:Question 7. Consider a one-parameter group G of transformations defined by X y 1-ay' 1 - ay (i) Find the operator (generator) representation X of the group G. (ii) Find an invariant under the group G. (iii) Find the canonical variables for the group G. I = y =
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