There is no Bose-Einstein condensation at nonzero temperatures in a non-interacting Bose gas in two dimensions (in the absence of a confining potential in the Hamiltonian). a. For the case that there is a confining harmonic potential in two dimensions like U(x, y) ="(wžx² + wży?), Show that there is a phase transition at nonzero temperature and determine Tc

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There is no Bose-Einstein condensation at nonzero temperatures in a non-interacting Bose gas in two
dimensions (in the absence of a confining potential in the Hamiltonian).
a. For the case that there is a confining harmonic potential in two dimensions like U(x, y) = “(w¿x² +
wży²), Show that there is a phase transition at nonzero temperature and determine Tc
Transcribed Image Text:There is no Bose-Einstein condensation at nonzero temperatures in a non-interacting Bose gas in two dimensions (in the absence of a confining potential in the Hamiltonian). a. For the case that there is a confining harmonic potential in two dimensions like U(x, y) = “(w¿x² + wży²), Show that there is a phase transition at nonzero temperature and determine Tc
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