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Consider the canonical and grand canonical partition functions given by $$Z_C=sumlimits_{i}g(E_i)e^{-beta E_i}$$ and $$Z_G=sumlimits_{i}g(E_i)e^{-beta (E_i-mu)}$$ respectively with $beta=frac{1}{k_BT}$.Questions $bullet$ What happens to these partition functions in...
Asked on 12/21/2021
2 answerI calculated the Compton amplitude of three diagrams but how can I verify it under gauge invariance structure?$${cal A} = 2 e^2 left[ frac{ p_3 cdot epsilon_1...
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1 answerI am struggling with the logic for completing the following problem. The problem is part b of 3.19 in Goldstein's Classical Mechanics book.A particle moves in a force field described...
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1 answerLet $A$ and $B$ represent two normal product of operators and suppose all operators in $A$ commute with operators in $B$. Then is that true...
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0 answerIn real space, the Fermi-Hubbard model can be written as: $$ H = -t sum_{langle i,j ranglesigma} (c^dagger_{isigma} c_{jsigma} + c.c.) + U sum_in_{iuparrow}n_{idownarrow}$$ The only difference between having...
Asked on 12/21/2021
1 answerIf oxygen is removed from water by boiling the water, what is the result when the water reaches room temperature? Is it still free of oxygen?...
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1 answerWe have two objects moving opposite to each other on the x-axis. They started to collide on the location $x = 0$ on x-axis.We know that if object one...
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0 answerI'm currently reading this book on flight dynamics but I'm having some trouble getting my head around the way the author derives some equations of motion. He starts by showing...
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1 answerI need to calculate resistance in an electrical grid.Grid is a graph. Edges of a graph are resistors. How calculate resistance between any two vertexes for arbitrary graph?I...
Asked on 12/19/2021
2 answerI know that as the phase of a substance changes the temperature of the substance remains constant. Now, I was wondering what would happen to the temperature of the container...
Asked on 12/19/2021
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