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Quantum mechanics is a physical science dealing with the behaviour of matter and energy on the scale of atoms and subatomic particles or waves. The term "quantum mechanics" was first coined by Max Born in 1924.
That theory is known as quantum mechanics, and it is now the basic framework for understanding atomic, nuclear, and subnuclear physics, as well as condensed-matter (or ”solid-state”) physics.
Key Features of Quantum Mechanics: Linearity of the Equations of Motion, Complex Numbers are Essential, Loss of Determinism, Quantum Superpositions, Entanglement (PDF) 2 Experiments with Photons: Mach-Zehder Interferometer, Elitzur-Vaidman Bombs (PDF)
Derive the Heisenberg equations of motion for the creation and annihilation operators in the simple harmonic oscillator and show that their solution is. a(t) = a(0)e i!t ; ay(t) = ay(0)ei!t : (370) From these, obtain equations of motion for the position and momentum operators.
The whole of quantum mechanics can be expressed in terms of a small set of postulates. When their consequences are developed, they embrace the behaviour of all known forms of matter, including the molecules, atoms, and electrons that will be at the centre of our attention in this book. This chapter
Quantum mechanics can be thought of roughly as the study of physics on very small length scales, although there are also certain macroscopic systems it directly applies to. The descriptor \quantum" arises because in contrast with classical mechanics, certain quantities take on only discrete values.
Note that here and in the following we think of measurements in a rather abstract way and are not concerned with questions of experimental inaccuracies. The aim of QM is to provide probability distributions associated with measurements of observables
