# Solved Problems In Classical Mechanics

We know that sometimes being a student and trying to keep a descent GPA can be really hard.

In the classical problem it's important that the ball was dropped from rest, otherwise the time taken to hit the ground will vary.

But the quantum solution doesn't involve the initial conditions at all. My first thought was that I need the time-dependent Schrodinger equation instead of the time-independent one, but that doesn't lead anywhere - it just means the ball oscillates between solutions.

It would occupy some standing wave about the Earth and not evolve in time.

The reason we never see macroscopic objects in such states is because they are unstable in the same sense as Schrodinger's cat.

Your proposed stationary states would delocalize the ball over the entire Earth, over a scale of thousands of miles.

But if you just at the ball, you can measure where it is, collapsing this superposition.

constructs a solution that obeys Newtonian gravity.

You're of course correct that if the ball were in a single stationary state, then it wouldn't do anything remotely like falling.

The point is that, quantum mechanically, the initial conditions cannot be a position $x_0$ and momentum $\xi_0$ at a fixed time.

In classical (statistical) mechanics, the initial condition is a probability distribution in the phase space (in the case we are considering, it is a delta distribution centered in the initial condition $(x_0,\xi_0)$).

## Comments Solved Problems In Classical Mechanics

• ###### Solved Problems in Classical Mechanics - Hardcover - Owen de.

Solved Problems in Classical Mechanics Analytical and Numerical Solutions with Comments Owen de Lange and John Pierrus. Provides a wide-ranging set of problems, solutions and comments in classical mechanics.…

• ###### Solved Problems in Lagrangian and Hamiltonian Mechanics

The Solved Problems in Lagrangian and Hamiltonian Mechanics Reading Committee included the following members Robert ARVIEU, Professor at the Joseph Fourier University, Grenoble, France Jacques MEYER, Professor at the Nuclear Physics Institute, Claude Bernard University, Lyon, France with the contribution of Myriam REFFAY and Bertrand RUPH…

• ###### Classical Mechanics - MIT

Classical Mechanics by Rod Nave HyperPhysics, Georgia State University. J. Papachristou Hellenic Naval Academy, 2017 239 pp. with solved problems.…

• ###### The Problems with Classical Physics

The Problems with Classical Physics By the late nineteenth century the laws of physics were based on Mechanics and the law of Gravitation from Newton, Maxwell's equations describing Electricity and Magnetism, and on Statistical Mechanics describing the state of large collection of matter.…

• ###### Solved Problems in Classical Mechanics Analytical and.

Buy Solved Problems in Classical Mechanics Analytical and Numerical Solutions with Comments on FREE SHIPPING on qualified orders…