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Consider a super cold gas tube (of, say, hydrogen), is the wave function of the gas different than at a higher temperature? How about for a lone electron within the gas?
The wave function of a super cold gas, such as hydrogen, significantly differs from that of a gas at higher temperatures due to the formation of a Bose–Einstein condensate (BEC). In a BEC, a dilute gas of weakly interacting bosons is cooled to temperatures near absolute zero, resulting in a large fraction of bosons occupying the lowest quantum state. This phenomenon leads to observable quantum effects on a macroscopic scale, particularly affecting the behavior of individual particles like lone electrons within the gas.
PREREQUISITESPhysicists, researchers in quantum mechanics, and anyone interested in the properties of super cold gases and their implications in modern physics.
http://en.wikipedia.org/wiki/Bose_einstein_condensate"A Bose–Einstein condensate (BEC) is a state of matter of a dilute gas of weakly interacting bosons confined in an external potential and cooled to temperatures very near absolute zero (0 K or −273.15 °C[1]). Under such conditions, a large fraction of the bosons occupy the lowest quantum state of the external potential, at which point quantum effects become apparent on a macroscopic scale.