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Tagged with equations-of-motion quantum-mechanics
6 questions
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Conceptual question about Euler-Lagrange equations in Quantum Field Theory
So I've started going down the QFT rabbit hole aided by Schwartz's book "Quantum Field Theory and the Standard Model". On chapter 7, the first method used to find the position-space Feynman ...
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Heisenberg's equation of motion without reference to Schrödinger's picture
Well I'm reading Mukhanov & Winitzki's Introduction to quantum effects in gravity, and I got to the exercise 2.8 that ask to derive Heisenberg's equation of motion
\begin{equation}
\frac{d\hat{A}}{...
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Deriving the field operators for Quantum Field theories
I always see the form of the field operators derived by, in the case of a scalar spin 0 particle, imposing the field commutation relations on the classical field solutions of the Klein Gordon equation ...
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Can an Equation of Motion Do More?
My usual expectation is that an equation of motion should give me the time-evolution of a system given an initial condition. But I am curious as to can an equation of motion do more than that? In ...
user87745
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Why isn't the Time-Independent Schrödinger Equation an equation of motion?
I thought an equation of motion was something where you are given a Lagrangian and, using the Euler-Lagrange equation, you then find the equations of motion for that system. Same basic idea for the ...
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What is the relationship between Schrödinger equation and Boltzmann equation?
The Schrödinger equation in its variants for many particle systems gives the full time evolution of the system. Likewise, the Boltzmann equation is often the starting point in classical gas dynamics.
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