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SOLVED: formula for number of hamiltonian cycles in a complete bipartite graph Kn,n with n>=2. please explain the solution

SOLVED: formula for number of hamiltonian cycles in a complete bipartite graph Kn,n with n>=2. please explain the solution

1-on-1 with 7-time Formula 1 champion Lewis Hamilton

1-on-1 with 7-time Formula 1 champion Lewis Hamilton

Consider a one-dimensional harmonic oscillator of Hamiltonian H and stationary states |φn⟩: H|φn⟩=(n 1 / 2) h ω|φn⟩The operator U(k) is defined by : U(k)=e^a x where k is real. a. Is U(k) unitary? Show that, for all n, its matrix elements satisfy the relation: ∑n|⟨φn|U(k)| φn,⟩|^2=1 b. Express U(k) in terms of the operators a and a^'. Use Glauber's formula [formula .(63) of complement 𝐁𝐧] to put U(k) in the form of a product of exponential operators. c . Establish the relations: e^λ e|φ0

Consider a one-dimensional harmonic oscillator of Hamiltonian H and stationary states |φn⟩: H|φn⟩=(n 1 / 2) h ω|φn⟩The operator U(k) is defined by : U(k)=e^a x where k is real. a. Is U(k) unitary? Show that, for all n, its matrix elements satisfy the relation: ∑n|⟨φn|U(k)| φn,⟩|^2=1 b. Express U(k) in terms of the operators a and a^'. Use Glauber's formula [formula .(63) of complement 𝐁𝐧] to put U(k) in the form of a product of exponential operators. c . Establish the relations: e^λ e|φ0

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