DaveC426913 said:
In my experience, a tennis ball that I catch, thus determining its momentum, does not begin smearing out so that I can no longer determine its position.
Perhaps you could list some peculiarly quantum mechancial phenomena that are analagous to every day experiences .
Of course, for any practical purposes to describe a tennis ball in everyday life, classical Newtonian mechanics is a very precise approximation. You take into accound all the forces (gravity, approximated as a constant force, air resistance etc.) and treat the tennis ball as a spinning solid object (when interacting with the racket, for sure you have to treat it more carefully as an elastic body).
From the point of view of quantum theory classical mechanics is an approximation, and this works in this case for two reasons: first of all you concentrate only on the relevant effects for your physics problem at hand, namely the collective motion of a many-body system, i.e., the location and velocity of its center of mass and some classical spin degrees of freedom to describe rotation against the air to take into account air resistance (Magnus effect!). Such collective observables are given quantum mechanically by averaging over a huge number of microscopical degrees of freedom. Already this coarse graining leads to almost classical behavior of these collective macroscopical observables. Second the ball interacts with the environment, and this leads very efficiently to decoherence. So you'll have a very hard time to do, say, double-slit interference experiments with a tennis ball. As far as I know the largest objects ever used successfully in such an experiments are bucky balls (socker-ball shaped bound states of 60 C atoms), and already there it's tough to prepare them such as to get interference effects. If they are a few degrees above 0K their intrinsic excitations and the radiation of black-body radiation photons is enough for decoherence, and the bucky balls behave classically.
Now, if you look more carefully at your tennis ball, it becomes totally ununderstandable within classical physics, why it exists as a nice stable solid object at all. If you look into its microscopic details, it's enough to go to the level of atomic physics, i.e., you describe it as a bound state of atomic nuclei (which you can treat as Coulomb centers) with the electrons swirling around them. Then you already are in a dilemma within classical physics. Within classical electrodynamics, which has to be applied here to this set of charged particles, you can not have static bound-state solutions. Thus the electrons must move around the nuclei, and thereby they must be accelerated due to Newtons 2nd Law since there are the Coulomb forces from the nuclei and among the electrons themselves. The electrons thus, again according to classical electrodynamics, radiate em. waves and the whole tennis ball would collapse within tiny fractions of a second into a cloud of electrons and nuclei in clear contradiction to the fact that you can nicely play tennis with such a ball. As is well known, this problem is solved by quantum theory since it admits nice stable static solutions, which you usually learn to calculate first in the quantum-theory lecture (potential pots, harmonic oscillator, the hydrogen atom etc. etc. are nice applications of quantum mechanics 1).
Set aside the stability problem, one should also be aware that the tennis ball consists to a large extent of "empty" space (or not quite empty but with the electromagnetic field of the charges present). So why can you take the ball without your fingers slipping simply through this empty space? The answer is again a quantum effect, namely the Pauli principle: The electrons in your fingers interact with the electrons in the tennis ball, but they cannot simply penetrate into the tennis ball since there are not so many empty states left. So not only repell the electrons in your fingers those of the ball but they cannot push them away to easily, and thus the tennis ball appears as a solid (elastic) object and not as something glibbery which falls appart when you touch it.
To say it short: The working of everyday life is inexplanable from a classical point of view; on a very basic level you need quantum theory to explain why for any practical perposes matter exists in the way we know it and the "classical behavior" of its macroscopic observables, relevant for handling them in every-day life as we are used to it!