VOLUME 50 NUMBER 18 PHYSICAL REVIEW LETTERS 2MAY1983 for the quasihole and quasielectron, respectively. For m=3, these estimates are 0.062e2/an and or four particles, I have projected these wave 0.038e2/an. This compares well with the value functions onto the analogous ones computed nu 0.033e2/an estimated from the numerical four merically. I obtain 0. 998 for ya o and 0. 994 for particle solution in the manner *s -. I obtain 0.982 for 73 +0=II (i-2)13, which is 43 to with the center-of-mass motion re- △E(3+E(J30)-2E(v3)}, moved here E(3) denotes the eigenvalue of the numer These excitations are particles of charge 1/m. ical analog of 43. This expression averages th To see this let us write 14+4012 as e"Ba,with electron and hole creation energies while sub tracting off the error due to the absence of v 中=中-21lnz1-zo I have performed two-component hypernetted (15) chain calculations for the energies of 43+ao and dp' describes an ocP interacting with a phantom 43-0. I obtain(0.022+0.002)e2/a, and(0.025 point charge at zo. The plasma will completely #0.005)e/ao. If we assume a value E=13for creen this phantom by accumulating an equal and the dielectric constant of GaAs, we obtain 0. 02e2/ opposite charge near zo. However, since the ∈ao-4 K when H=150kG plasma in reality consists of particles of charge The energy to make a particle does not depend 1 rather than charge m, the real accumulated on zo, so long as its distance from the boundary harge is 1 /m. Similar reasoning applies to "z0 is greater than its size. Thus, as in the single if we approximate it as Il, (2j-20)-"Pe Y3, where particle problem, the states are degenerate and P. is a projection operator removing all con- there is no kinetic energy. We can expand the gurations in which any electron is in the single- creation operator as a power series in a ody state(2-20)exp(-4 lz 12). The projection of this approximate wave function onto da "40 for four A=2A,(21…,2)20 (19) particles is 0. 922. More generally, one observes that far away from the solenoid, adiabatic addi g are the elementary symmetric poly tion of A moves the fluid rigidly by exactly one nomials, the algebra of which is known to span state, per Eq.(12). The charge of the particles the set of sy mmetric functions. Since every anti is thus 1/m by the Schrieffer counting argument, symmetric function can be written as a sym The size of these particles is the distance over metric function times y1, these operators and which the OCP screens. Were the plasma weakly their adjoints generate the entire state space. coupled(r 2)this would be the Debye length Ap= It is thus appropriate to consider them N lin ao/v2. For the strongly coupled plasma, a better early independent particle creation operator estimate is the ion-disk radius associated with a The state described by fm is incompressible charge of 1/: R=v2 an. From the size we can because compressing or expanding it is tanta estimate the energy required to make a particle. mount to injecting particles. If the area of the The charge accumulated around the phantom in system is reduced or increased by &a the en- the Debye-Huckel approximation i ergy rises by 6U=0m Al dA. Were this an elast ic solid characterized by a bulk modulus b, we op=2m Ko(r/aD), would have 6U=2B(6A)2/A. Incompressibility causes the longitudinal collective excitation here k. is a modified Bessel function of the roughly equivalent to a compressional sound second kind. The energy required to accumulate wave to be absent, or more precisely, to have it an energy -a in the long-wavelength limit. This ¨如p。T1e2 facilitates current conduction with no resistive (16) loss at zero temperature. Our prototype fc this behavior is full Landau level(m=1)for This estimate is an upper bound, since the plasma which this collective excitation occurs at hi is strongly coupled. To make a better estimate The response of this system to compressive let 6p=o inside the ion disk and zero outside, to stresses is analogous to the response of a type obtain II superconductor to the application of a magnetic field. The system first generates Hall currents △disk"2 without compressing, and then at a critica stress collapses by an area quantum m2a 2 1397