(kardar problem 7.2) generalized ideal gas: consider a gas of non-interacting identical (spinless) quantum particles with an energy spectrum ε p/ s, contained in box of volume v in d dimensions (a) calculate the grand potential sn--6bt inqη, and the density n = n/v , at a chemical potential μ. express your answers in terms of s. d, and f (z), where exp(βμ), and where η = +1,-1 corresponds respectively to the be, fd cases (b) find the ratio pv/e, and compare it with the classical result obtained previously. (c) for bosons, find the dimension de(s), below which there is no bose-einstein con- densation. is there condensation for s = 2 at d 2?

Which of the following statements comparing electron microscopy and light microscopy is false? which of the following statements comparing electron microscopy and light microscopy is false? both the electron microscope and the light microscope use the same wavelengths for illumination. images produced by light microscopes can be in color, whereas electron microscope images are black and white unless they are artificially colored. the electron microscope has greater resolution than the light microscope. electron microscopes can allow examination of viruses and internal cell structures, whereas light microscopes are limited to objects that are 0.5 micrometers and larger. request answer