Answer Happy

Systems of Identical Particles Consider two indistinguishable particles in a harmonic oscillator potential - having Yn(x) be the wavefunction of n-th energy (n=0,1) and have Yn > be the representational ket. 1.) Is this configuration possible/is this configuration an allowed state if particles are bosons? Give your reasoning explicitly, if this is NOT an allowed state WRITE an allowed state that would be equivalent physically. |4> = 140 > 41 > (the position of the kets determine the particle that goes with it (x1,x2) = 40(x1) 1(x2) etc) 2.) Consider two spin one-half particles, which of these then would be an allowed state - give your reasoning explicitly. For any state not possible, write the corresponding possible state that is equivalent and also treats particles as indistinguishable. |4> = 1/√2(140 > 41 > 41 > 40>)| +> | -> 4 > = 1/2 (40> |¥1 > + |¥1> |¥0 >)(| +> |-> -|-> | +>)