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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...
Asked on 12/21/2021
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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