Prove that the kinetic energy operator is Hermetic

Q: A point particle moves in space under the influence of a force derivable from a generalized…

A: The generalized force equation is Qj = −∂U/∂qj + d/dt (∂U/∂q˙j).

Q: Consider the Hermitian operator  that has the property Â4 = 1. What are the eigenvalues of the…

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Q: 6. Consider a qubit used as a clock. The Hamiltonian for the system is H= hw 1)(1, where w is some…

A: The Hamiltonian of the system is given as H = ℏω |1><1| Where ω = Constant frequency

Q: For an operator to represent a physically observable property, it must be Hermitian, but need not be…

A: Given that- For an operator to represent a physically observable property,it must be hermitian,But…

Q: Consider the basis S = {v1, V2} for R2, where v1 = (1, 1) and v2 = (1, 0), and let T:R? – R2 be the…

A: Given: S=(v1,v2)v1=(1,1)v2=(1,0)

Q: s. In a three-dimensional vector space, consider the operator whose matrix, in an orthonormal basis…

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Q: What is the value of the commutator [Sy , ž]? Here Jy is the y-component of the angular momentum…

A: using different properties of commutator we can solve the question

Q: #1: Find the time depended wave functions V(x, t) = ?

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Q: . 2 xo (M₁ + m₂) + 2 Joizk • T = Xo V = -mg I cos Ⓒ L= T-V ☺ ☺nic Mit M₂ + 1m₂ = 2 • 2 L = X₂…

A: In this question we have to derive the Lagrangian equation of motion with respect to the possible…

Q: t sometimes occurs that the generalized coordinates appear separately in the kinetic energy and the…

A: The kinetic energy is given as T=∑ifiqiq˙i2.  The potential energy is V=∑iViqi. The Lagrangian is…

Q: Consider the kinetic energy matrix elements between Hydrogen states |P|²| (n' = 4, l', m'|! -|n = 3,…

A: Given: Here is the given kinetic energy matrix elements between Hydrogen, n'=4,l',m'P→mn=3,l,m To…

Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.