Etymology:
The word "observable" derives from the Latin "observabilis," meaning "noticeable" or "worthy of attention." It is formed from the prefix "ob-" (meaning "toward" or "in front of") and the verb "servare" (meaning "to keep watch" or "to observe").
Meaning:
An observable is a property or characteristic of a system that can be measured or observed. In science, an observable is often a quantifiable characteristic of a physical system, such as its mass, temperature, or velocity.
Origin:
The concept of an observable has its roots in the scientific method. In the 17th century, scientists such as Galileo Galilei and Sir Isaac Newton began to emphasize the importance of making observations and measurements of natural phenomena. They argued that by observing and quantifying the measurable properties of the world, scientists could gain a better understanding of its underlying laws.
In the 20th century, the concept of an observable was formalized in the context of quantum mechanics. Quantum mechanics is the branch of physics that deals with the behavior of energy and matter at the atomic and subatomic levels. In quantum mechanics, observables are represented by mathematical operators that correspond to the physical properties of a quantum system.
Usage:
The term "observable" is commonly used in the fields of science, engineering, and mathematics:
Examples:
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