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Use ladder operator to evaluate the elements of the matrix <mixpins and <m1pxin> of a harmonic...
evaluate the integral.. first use the substitution method to convert the integral into one then use...
evaluate the integral.. first use the substitution method to
convert the integral into one then use the integral table.
dont need a hand written solution.. please type it.
cot /V1 - sin- dt, 0<I< /2
Let A be an mx n matrix and B be an n xp matrix. (a) Prove...
Let A be an mx n matrix and B be an n xp matrix. (a) Prove that rank(AB) S rank(A). (b) Prove that rank(AB) < rank(B).
2. Solve for the motion of a driven-damped harmonic oscillator whose forcing function F(t) is given...
2. Solve for the motion of a driven-damped harmonic oscillator whose forcing function F(t) is given by F(t) = 0, < 0 HU t 12 0 <t<T PO) – 4(), 0<t<7 F(t) = A, t>t. m т.
Solve the harmonic oscillator motion for initial conditions x(0) = 0, V(0) = V0 in the...
Solve the harmonic oscillator motion for initial conditions x(0)
= 0, V(0) = V0 in the case of (a) underdamped
(b) overdamped
We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
, then n lim Let Ά be a square matrix. Prove that if ρ(A)<1 Use the...
, then n lim Let Ά be a square matrix. Prove that if ρ(A)<1 Use the following fact without proof. For any square matrix A and any positive real number ε , there exists a natural matrix norm I l such that l-4 ll < ρ (d) +ε IIA" 11-0
IDY in < oo and lim - Yn < 0o. Prove that lim,+ 1. Let In...
IDY in < oo and lim - Yn < 0o. Prove that lim,+ 1. Let In > 0. Yn > 0 such that lim,- Yn) < lim,-- In lim,+ Yn: i tn < oo and lim yn < . Prove that lim. In 1. Let In 20, yn 0 such that lim Yn) < limn+In lim + Yr
Extra HW 1. Prove the following properties of the density matrix. (a) ? is a Hermitian...
Extra HW 1. Prove the following properties of the density matrix. (a) ? is a Hermitian operator, i.e. ?-? (b) (A)) is invariant under unitary transformation. (c) Quantum Liouville's equation ih Ot (d) For pure states ?-? and for mixed states ?2 < p.
QUESTION 22 Using the grammar, <S> <A> <S> + <A> + <A> | <id > <id...
QUESTION 22 Using the grammar, <S> <A> <S> + <A> + <A> | <id > <id > → abc which of the following is a word (or sentence) in the language: a + b + c a + b + c + a All of the other answers are words in the language. a + a + a
Quantum Chemistry. Thx in Advance! 1. For a harmonic oscillator with unit mass and unit frequency,...
Quantum Chemistry. Thx in Advance!
1. For a harmonic oscillator with unit mass and unit frequency, the Schrödinger equation for its eigenfunction is given by where n 0, 1, 2, . . .. Answer the following questions. Given a trial wave function, ?(x)-?000CnUn(x), where expression for the expectation value is is assumed to be real, the Prove that Eo2 h/2 2. Assume that the trial wave function for the ground state eigenfunction in Eq. (1) is ?(x) = cos Xx,...
The following questions pertain to a harmonic oscillator. a) Use the matrix representation of the Hamiltonian...
The following questions pertain to a harmonic oscillator. a) Use the matrix representation of the Hamiltonian operator to evaluate the expectation value <2|H|2>. b) Use the matrix representation of the operator â to complete the following expression: â|3) = | >. I know the answers should be a) (a)5hν/2 B) Sqrt(3)|2 Can someone please help explain?
evaluate the integral.. first use the substitution method to
convert the integral into one then use the integral table.
dont need a hand written solution.. please type it.
cot /V1 - sin- dt, 0<I< /2
Let A be an mx n matrix and B be an n xp matrix. (a) Prove that rank(AB) S rank(A). (b) Prove that rank(AB) < rank(B).
2. Solve for the motion of a driven-damped harmonic oscillator whose forcing function F(t) is given by F(t) = 0, < 0 HU t 12 0 <t<T PO) – 4(), 0<t<7 F(t) = A, t>t. m т.
Solve the harmonic oscillator motion for initial conditions x(0)
= 0, V(0) = V0 in the case of (a) underdamped
(b) overdamped
We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
, then n lim Let Ά be a square matrix. Prove that if ρ(A)<1 Use the following fact without proof. For any square matrix A and any positive real number ε , there exists a natural matrix norm I l such that l-4 ll < ρ (d) +ε IIA" 11-0
IDY in < oo and lim - Yn < 0o. Prove that lim,+ 1. Let In > 0. Yn > 0 such that lim,- Yn) < lim,-- In lim,+ Yn: i tn < oo and lim yn < . Prove that lim. In 1. Let In 20, yn 0 such that lim Yn) < limn+In lim + Yr
Extra HW 1. Prove the following properties of the density matrix. (a) ? is a Hermitian operator, i.e. ?-? (b) (A)) is invariant under unitary transformation. (c) Quantum Liouville's equation ih Ot (d) For pure states ?-? and for mixed states ?2 < p.
QUESTION 22 Using the grammar, <S> <A> <S> + <A> + <A> | <id > <id > → abc which of the following is a word (or sentence) in the language: a + b + c a + b + c + a All of the other answers are words in the language. a + a + a
Quantum Chemistry. Thx in Advance!
1. For a harmonic oscillator with unit mass and unit frequency, the Schrödinger equation for its eigenfunction is given by where n 0, 1, 2, . . .. Answer the following questions. Given a trial wave function, ?(x)-?000CnUn(x), where expression for the expectation value is is assumed to be real, the Prove that Eo2 h/2 2. Assume that the trial wave function for the ground state eigenfunction in Eq. (1) is ?(x) = cos Xx,...
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