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Show that hamiltonian function is equal to the total energy of the system?
Wiki User
∙ 11y ago
There must be an example, and it could be found in the Classical mechanics by David Morin. In order for the Hamiltonian to be equal to the total energy, certain conditions must apply such as there must be no time dependence of the system. READ BOOK. That is the best. Go to library or download ebooks to acquire
Wiki User
∙ 11y ago
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Why is energy expressed as the second-order partial differential of a wave function in quantum mechanics?
You are referring to the Schrodinger Equation. This is because it comes from the classical view that the total energy is equal to the hamiltonian of a system:Kinetic Energy + Potential Energy = Total energy.Classically the kinetic energy is (1/2)mv2 = p2/(2m) ; where m is mass, v is velocity, p is momentum (p=mv).Now the momentum operator in QM is p=iħ∇ ;where ∇ is the gradient operator.This therefore yields the QM hamiltonian [-ħ2∇2/(2m) + V(x,y,z)]Ψ = EΨNow a more fun question to ask would be "Why is the Hamiltonian a function of the second-order partial differential with respect to position but the time dependent is only a function of a first-order differential with respect to time?"meaningHΨ = -iħ(dΨ/dt) or[-ħ2∇2/(2m) + V(x,y,z)]Ψ = -iħ(dΨ/dt)hint: Think Maxwell's Equations!
What in a closed system energy is equal to potential energy plus kinetic energy?
Mechanical energy is equal to potential energy plus kinetic energy in a closed system. The total mechanical energy is conserved.
In a closed system what energy is equal to potential energy plus kinetic energy.?
Mechanical energy is equal to potential energy plus kinetic energy in a closed system. The total mechanical energy is conserved.
In a closed system what energy is equal to potential energy plus kinetic energy?
Mechanical energy is equal to potential energy plus kinetic energy in a closed system. The total mechanical energy is conserved.
In a closed system energy is equal to potential energy plus kinetic energy?
Mechanical energy is equal to potential energy plus kinetic energy in a closed system. The total mechanical energy is conserved.
In a closed system energy is equal to potential energy plus kinetic energy.?
Mechanical energy is equal to potential energy plus kinetic energy in a closed system. The total mechanical energy is conserved.
Potential energy plus kinetic energy equal what?
Mechanical energy is equal to potential energy plus kinetic energy in a closed system. The total mechanical energy is conserved.
Is the Work function equal to potential energy?
Yes it is. W=∆Eg
What law of thermodynamics requires the work output of the engine to equal the difference in the quantities of heat taken in and released by the engine?
The first law of thermodynamics requires that the energy input to a system must equal the energy output from a system plus the accumulation of energy in a system. If no energy is accumulating then the energy input is the heat in and the energy output is the work and heat out.
Total amount of energy in any closed isolated system remains what?
If it is a closed system, the total energy remains equal.
Why do all photoelectrons not come with the same kinetic energy?
Some energy is lost in releasing the electrons from the nucleus. This energy is known as the work function, which relates to the threshold frequency. Therefore, the kinetic energy of the released photoelectron is equal to the photon energy minus the work function.
Which choice best explains what internal energy is as it relates to the first law of thermodynamics?
Internal energy is the sum of the randomly distributed microscopic potential energy and kinetic energy of the molecules that make up the system. The first law of thermodynamics states that: "The internal energy of a system is a function of its state. Any increase in the internal energy of a system is equal to the sum of the heat supplied to the system and the work done on the system." The first law of thermodynamics is a direct consequence of the principle of conservation of energy.
