All Questions
Tagged with terminology classical-mechanics
80
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Is Principle of Least Action a first principle? [closed]
It is on the basis of Principle of Least Action, that Lagrangian mechanics is built upon, and is responsible for light travelling in a straight line.
Is its the classical equivalent of Schrodinger's ...
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2
answers
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On the physical meaning of functionals and the interpretation of their output numbers
I am studying about functionals, and while looking for some examples of functionals in physics, I have run into this handout .
Here are two questions of mine.
1- This handout starts as follows (the ...
user386360
1
vote
1
answer
130
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WKB method as a Semiclassical Approach
A naive question about WKB approach. It is dubbed to be a "semiclassical" method. What is precisely mean in quantum mechanical context to be "semiclassical"? Wikipedia states that ...
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Why isn't frame of reference called reference point? [closed]
A frame of reference is the perspective you have on a happenstance. But isn't it a viewpoint or point of view? As in, a literal point, from which something is observed?
If so, why is it called a frame ...
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Doubt in Arnold's "Mathematical Methods of Classical Mechanics", Chapter 2
My question is about Arnold's book "Mathematical Methods of Classical Mechanics", chapter 2, section B (pg. 16).
He talks about systems with one degree of freedom, i.e. systems described by $...
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Terminology of different equilibria?
I've heard many equilibrium terms:
Translational equilibrium
Rotational equilibrium
Static equilibrium
Dynamic equilibrium
The different terminology is slightly confusing. My understanding is as ...
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0
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On-shell condition in Classical Mechanics [duplicate]
Which is the on-shell condition in classical mechanics? I mean in QFT we use to tell about external particle state as to be in a on-shell condition which means that these particles have to statisfy ...
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When can a "theorem" be raised to a "principle"? [duplicate]
I am taking a 3rd year course in analytical mechanics, taught by a professor of mathematical physics.
One of the important results of analytical mechanics is d'Alembert's principle. According to our ...
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What is difference between a monogenic system and a dynamical system?
What is difference between a monogenic system and a dynamical system?
I am confused in reading about the Hamiltonian principle because some book write system as monogenic and other dynamical.
...
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What is the difference between variational principle, principle of stationary action and Hamilton's principle?
In advanced mechanics, we learn about the variational principle, the principle of stationary action, and the Hamilton's principle. I feel that the difference between them is not very clearly organized ...
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What does mean to say that "the problem is reduced to quadratures" and why is it useful?
In classical mechanics, what does it mean to say that "the problem is reduced to quadratures"? And why is that useful?
In the answer, bobbyphysics remarked that reduction to quadratures ...
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What is "equilibrium position" in simple harmonic motion?
In simple harmonic motion (SHM) is equilibrium position equal to the extreme position (i.e. where the external force and restoring force are equal), or where all kinetic energy of the body is ...
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Meaning of the 'action of the force' in physics
Example:
The potential energy of this object is created due to the action of the force $F$.
Why not?
The potential energy of this object is created by the force $F$.
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Independent generalized coordinates are dependent
(This is not about independence of $q$,$\dot q$)
A system has some holonomic constraints. Using them we can have a set of coordinates ${q_i}$. Since any values for these coordinates is possible we say ...
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Perturbation of velocity in Hamilton equations. What do you call it?
Consider a Hamilton function
$$H_0(x,p) = \frac{p^2}{2m}+ V(x).$$
The canonical equations then read
$$\dot{x}(t) = p/m$$
and
$$\dot{p}(t) = -V'(x)$$
Now imagine, we add an additional term
$$\dot{x}(t) ...
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