How Do You Spell COHERENT STATES?

Pronunciation: [kə͡ʊhˈi͡əɹənt stˈe͡ɪts] (IPA)

Coherent states are a concept in quantum mechanics where a quantum system maintains a certain degree of stability and predictability. The spelling of "coherent" uses the IPA phonetic transcription [kəʊˈhɪərənt] where the initial sound is a schwa [ə], followed by a long [oʊ] diphthong and a stressed [hɪər] sound. The final syllable is an unstressed [ənt]. The stress on the second syllable can be remembered by the phrase "here, hear!" Coherent states are an important aspect of quantum mechanics and have applications in various fields.

COHERENT STATES Meaning and Definition

1. Coherent states refer to a concept used in quantum mechanics to describe a quantum system that exhibits a certain level of stability and organization. These states are characterized by their ability to behave like classical waves or particles, as they represent the most "localized" states in quantum mechanics.

   In classical physics, a state is considered coherent when all the individual components of the system are in phase with each other, resulting in a well-defined overall behavior. In quantum mechanics, coherent states are similarly defined as the states that minimize the uncertainty principle, allowing for the most precise measurement of both position and momentum.

   Mathematically, coherent states are represented by wave functions that are peaked at a certain position in phase space, typically resembling the Gaussian function. These states possess unique properties that make them useful in various areas of physics, such as quantum optics, quantum field theory, and quantum information.

   One notable property of coherent states is their ability to maintain their shape and structure over time, even in the presence of external disturbances. This property is referred to as their "coherence" and is crucial for the stable behavior and predictable dynamics of the system.

   Overall, coherent states represent a fundamental concept in quantum mechanics that bridges the gap between classical and quantum systems, providing a useful basis for understanding and describing the behavior of quantum systems with classical-like characteristics.

Etymology of COHERENT STATES

The term "coherent states" has its etymology rooted in physics, specifically in quantum mechanics. It was coined by Erwin Schrödinger, an Austrian physicist, in 1926. The word "coherent" is derived from the Latin word "cohaerere", which means "to stick together" or "to form a whole".

In quantum mechanics, coherent states refer to a special set of quantum states that closely resemble classical states. These states possess characteristics such as minimal uncertainty in position and momentum, as well as exhibit wave-like behavior while maintaining a localized presence. The term "coherent" is used to describe these states since they display a certain unity or wholeness, similar to classical waves that maintain their form over time.