Classical Mechanics

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Questions related to Classical Mechanics

Why do people find the idea of interpreting quantum mechanical wavefunctions using classical trajectories so objectionable?

20 years ago I came to grips with quantum mechanics and Schrodinger’s wave equation through what I thought were fairly unconventional means. Whenever I talked or wrote about this I was treated...

04 April 2015 4,304 1 View

Does anybody know something about Bertrand spaces?

Bertrand's theorem can be found in some textbooks on classical mechanics (e.g.Goldstein) . It says that in flat space closed (not necessarily circular) orbits can be created either by harmonic...

04 April 2015 7,683 6 View

Can the theory of General Relativity and the theory of Quantum Mechanics be considered as special cases of the theory of Quantum Gravity?

We know that Classical Mechanics can be shown as special and approximated case of General Relativity and Quantum Mechanics. Is the case similar here?

16 January 2015 4,462 25 View

Can the theory of General Relativity and the theory of Quantum Mechanics be considered as special cases of the theory of Quantum Gravity?

We know that Classical Mechanics can be shown as special and approximated case of General Relativity and Quantum Mechanics. Is the case similar here?

01 January 2015 3,424 26 View

How to check this formula S(r,r0;t)=S(r,r0_bar:t)-(r0-r0_bar)p_s, here p_s can be seen as the initial momentum of S(r,r0_bar:t) with Symplectic maps?

If we consider a classical action from r0 to r in terms of t(time), then for the semiclassical calculation, I can consider a small wavepacket and make an expansion around r0_bar.Based on classical...

01 January 2015 7,032 6 View

How can I applie Quantum Mechanics in philosophy?

Quantum mechanics (also known as quantum physics, or quantum theory) is a fundamental branch of physics which deals with physical phenomena at nanoscopic scales, where the action is on the order...

01 January 2015 4,042 7 View

How can the formula of the nth roots of complex numbers be generalized to square matrices?

Is it possible? The nth-root formula for complex numbers is Cn,k=|z|1/nei[Arg(z)/n+2\pi k/n] where Cn,kn=z, Arg(z) is the principal argument and k=0,1, .., n-1. If it were possible, we would have...

12 December 2014 6,216 4 View

What is quantum chaos?

I recently read a good paper on Quantum Chaos by Martin Gutzwiller in Scientific American (2008 - see link). (This was a repost of the original paper in 1992.) Martin Gutzwiller gives a simple...

11 November 2014 5,266 7 View

What is the reason for tunneling effect in quantum mechanics ?

Accepted the fact that classical mechanics does not reveal so and alpha decay leads to its discovery but why does it occur even if potential is more than kinetic energy?

11 November 2014 2,463 1 View

In the case of static load, what is equivalent coefficient?

The damping coefficient is related to the dynamic loads. In the case of static loads, what is equivalent coefficient? For GEO FOAM.

04 November 2014 3,984 4 View

Why in derivation of the equations of continuum mechanics the model of material point is used?

Model material points cannot be used for describing the motion of macroscopic bodies. The derivation of the equations of continuum mechanics based on the use of limit theorems, in which the size...

12 October 2014 3,765 17 View

What's the physical meaning of reduced mass from the view of classic and quantum mechanics?

I want to know what's the physical meaning of the reduced mass? if we try to connect it with quantum mechanics is the wave function of the reduced mass of two bodies has any physical meaning?

10 October 2014 5,762 7 View

Is mass moment of inertia to be considered in lumped mass?

I am modelling a wind tower with 2 dof per node..1 translational and one rotational..I am lumping the blade mass at the top (not considering rotation)..while developing the mass matrix, is it...

08 August 2014 2,911 1 View

Why does tapping in air not produce any sound, but tapping against a metal does produce sound?

We get sound by the vibrations. So what is that is special only about hard metals that tapping them, we get sound. Why on "tapping" air , there is no sound. Is this the question of only the...

15 May 2014 1,124 3 View

Why does the time dependence of angular momentum (operator) in quantum mechanics disappear, as there is time dependence in classical mechanics?

The angular momentum operator in quantum mechanics is space dependent.

05 May 2014 2,158 4 View

Why does tapping in air not produce any sound, but tapping against a metal does produce sound?

We get sound by the vibrations. So what is that is special only about hard metals that tapping them, we get sound. Why on "tapping" air , there is no sound. Is this the question of only the...

05 May 2014 2,697 3 View

Can there be collision between the planets in orbit?

How can we calculate the probability? Celestial mechanics (centripetal force).

04 April 2014 8,909 3 View

Why is quantum statistical mechanics different from classical mechanics?

I am asking this question on the supposition that a classical body may be broken down in particles which are so small in size that quantum mechanics is applicable on each of these small particles....

04 April 2014 5,533 12 View

Can anyone help with canonical formalism and perturbation methods for non-conservative dynamical systems?

I am interested to approach non-conservative perturbations from the point of view of a "canonical formalism". I am really curious what references on this topic might be found in the literature.

04 April 2014 321 7 View

Is diffraction of a particle a case of an action without a cause breaking by way of the first law of Newton?

Suppose a single particle (photon or electron) passes through a slit. It doesn't interact with anything. Nevertheless it changes direction because of diffraction of it's wave function. But the...

07 March 2014 5,336 30 View

On the relationship between speed and time, have the standardized tests gone too far?

Please check out this question excerpted from a standardized test for high-school students in a North American country; It says: Which of the following would be a graph of speed vs. time for the...

03 March 2014 8,518 3 View

Is diffraction of a particle a case of an action without a cause breaking by way of the first law of Newton?

Suppose a single particle (photon or electron) passes through a slit. It doesn't interact with anything. Nevertheless it changes direction because of diffraction of it's wave function. But the...

03 March 2014 3,604 31 View

Does unitary transformation really not change the physics of the system?

I'm considering this question because the realization of SOC by I. Spielman's experiment and other treatment to realize SOC are just using some kind of unitary transformation. Besides, they also...

20 February 2014 9,688 2 View

Is quantum mechanics subordinate to classical mechanics?

I am giving some initial issues: 1) A certain field that QM cannot show is the concept of 'quantum chaos'. This is due to its linear form, so with linearity you can not explain the 'hard...

11 February 2014 10,261 82 View

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