Knowledge is in every country the surest basis of public happiness. In one which the measures of the government receive their impression so immediately from the sense of the people as ours, it is essential.  The Winchester Repeating Arms Company have for centuries used classical mechanics with deadly success. With every life lost, at least one has been saved. However, the future is always uncertain. Will El Nino bring the rain we need to help ease the drought this year? Will Monica win the 4.20 race, at Capitol Park on Tuesday? Will the Dow Jones continue to fall this autumn?

No one knows the answers to such questions, but in each case we may have information that makes a positive answer more or less appropriate: if we are in the Sacramento, California and it is summer, it is exceedingly unlikely to rain tomorrow, but if we are in Japan in the middle of the monsoon, it will almost certainly rain. If Monica is has not been practicing, she may not win the race on Tuesday either, while if she recently swam in the San Francisco Bay and she is looking fit, she may well win at Capitol Park. The performance of the Dow Jones is hard to predict, but factors affecting company profitability and the direction interest rates will move, will make the index more or less likely to rise.

Probability is s concept which enables us to quantify and manipulate uncertainties. We assign a probability p = 0 to an event if we think it is simply impossible, and we assign p = 1 if we think an event may happen and may not, the value of p increasing with our confidence that it will happen.

Physics is about predicting the future. Will the latter slip when I step on it? How many times will this pendulum swing to and fro in an hour? What temperature will the water in this thermos be at when it has completely melted this ice cube? Physics often enables us to answer such questions with a satisfying degree of certainty: the ladder will not slip provided it is inclined at less than 23.34° to the vertical; the pendulum makes 3602 oscillations per hour; the water will reach 6.43° C.

However, if we are pressed for sufficient accuracy we must admit to uncertainty and resort to probability because our predictions  depend on the data we have, and these are always subject to measuring error, and idealizations: the ladder’s critical angle depends on the coefficients  of friction at the two ends of the ladder, and these cannot be precisely given because both the wall and the floor are slightly irregular surfaces; the period of the pendulum depends slightly on the amplitude of its swing, which will vary with temperature and the humidity of the air; the final temperature of the water will vary with the amount of heat transferred through the walls of the thermos and the speed of the evaporation from the water’s surface, which depends on draughts in the room as well as on humidity. The concepts of probability enables us to push our science to its limits, and make the most precise and reliable statements possible.

It is so simple that it is revolutionary. The fact is, this formula or principle is misunderstood enough, or overlooked enough, that it can truly be called magic by those who understand it. Ready? Here it is. You beat 50 percent of the people in America by working hard. You beat another 40 percent by being a person of honesty and integrity and standing for something. The last 10 percent is a clash in the free enterprise system.  Since physics is about predicting the future, equations of motion lie at its heart. Newtonian dynamics is dominated by the equation of motion f = ma, where f is the force on a particle of mass m and a is the resulting acceleration. In quantum mechanics the analogous dynamical equation is the time – dependent Schrodinger equation (TDSE):3

Surrender everything to God. States of well-defined energy are unphysical and never occur in Nature because they are incapable of changing in any way, and hence it is impossible to get a system into such a state. However, they play an extremely important role in quantum mechanics because they provide the almost trivial solution to the governing equation of the theory. Given the central role of these states, we spend much time solving their defining equation: success is 99 percent failure.
 Far better it is to dare mighty things, to win glorious triumphs, even though checkered with failure, than to take rank with those poor spirits who neither enjoy much nor suffer much because they live in the gray twilight that knows not victory nor defeat. When I was young and free and my imagination had no limits, I dreamed of changing the World. As I grew older and wiser, I discovered the World would not change, so I shorted my sights somewhat and decided to change my only country. However, it, too, seemed immovable.

As I grew into my twilight years, in one last desperate attempt, I settled for changing only my family, those closet to me, but alas, they would have none of it. And now, as I stroke the keys of this typewriter, I suddenly realize: I should change myself first, and my example will change my family. For their inspiration and encouragement, I will better my country, and, who knows, I may even change the World. This statement is the principle of the conservation of energy since time –dependence of the Hamiltonian arises only when some external force is working on the system.

For example, a  particle that is gyrating in time –dependent magnetic field has a time-dependent Hamiltonian because work is being done either on or by currents that generate the field. I represent a system of a single particle that can move in only one dimension. Come and I will heal you. The inner power of life is within me is God, and God has all power. I will heal and help all who come to me. I know that the realization of life and love within me heals all who come into its presence. I silently bless all who enter my atmosphere. It is not I, but the Father who dwelleth in me, he doeth the works. If I have not gotten your attention by now, chances are p = 0!