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MalleusScientiarum
I'm trying to find some basic information on it, preferably without dropping money on another $100+ textbook. Can anybody point me in the right direction?
Gokul43201 said:The following review article is an absolute "must read" :
"Theory of Bose-Einstein condensation in trapped gases", F. Dalfovo, S. Giorgini, L. Pitaevskii, S. Stringari, Rev. Mod. Phys., 71, 463-512 (1999)
The Gross-Pitaevskii Equation (GPE) is a mathematical equation that describes the dynamics of a quantum-mechanical system of bosons, specifically in the context of Bose-Einstein condensates. It is named after its creators, physicists Eugene Gross and Lev Pitaevskii.
The GPE is derived from the Schrödinger equation, which is a fundamental equation in quantum mechanics. It is a non-linear partial differential equation that describes the evolution of the wave function of a quantum system over time.
The GPE has significant implications in the study of Bose-Einstein condensates, which are a unique state of matter formed at extremely low temperatures. It helps to understand the properties and behavior of these condensates, which have potential applications in areas such as quantum computing and precision measurement.
The GPE is a mean-field theory and therefore does not take into account many-body effects that may be present in a Bose-Einstein condensate. It also assumes that the condensate is in thermal equilibrium, which may not always be the case.
The GPE is used in research to model and predict the behavior of Bose-Einstein condensates in various experimental setups. It is also used in practical applications such as designing and optimizing Bose-Einstein condensate-based devices and technologies.