Box with ends

Just because the particle will never go outside the section O x L, therefore, the value of the wave function outside the section is equal to 0. It remains to find the function in 0 jc L. 

Let us write down the Schrodinger equation for 0 jc T with the Hamiltonian containing the kinetic energy only (since V = 0, one has J 0) 

The solution to this equation is given by (4.1), which may also be written as 

the key is to recall (p. 74, Fig. 2.5), that the wave function has to be continuous and, therefore, two conditions have to be fulfilled 1) = 0 for x = 0 and 2) = 0 for = L. The first condition immediately gives B = 0, the second in this situation is equivalent to kL = nir, forn = 0,1, From this follows energy quanti- 

Let us consider a rectangular box (Fig. 4.3) with sides Ei and L2 and V = 0 inside and V = oc outside. We very easily obtain the solution to the Schrodinger equation after a straightforward separation of variables x and y leading to the two ID Schrodinger equations. 

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A nanombe is a complicated, many-electron molecule and, it seems, its electronic structure can be revealed only after long eomputations that give an approximation to the solution of the Schrddinger equation. And again, we may admire the power of simple models. After assuming the continuous cylinder model, one may expect for / = 0 that we have to recover the solution for the box with ends, while for L = 0 and R 0. one should get the solution for the cyclic box. It turns out that in principle, we do get something like that, except that the shortest cylinder built of carbon atoms cannot have zero length. 

Bohr first orbit (p. 202) box with ends (p. 162) correlation factors (p. 212) creation operator (p. 190) cyclic box (p. 167) dissociation energy (p. 198)... 

TEFC - Totally Enclosed Fan Cooled where the shaft extends from both ends with a cooling fan attached to one with a shroud that directs air over strategically located cooling fins. This motor is m.ore commonly used when the motor is outside the air stream as when driving a gear box with a drive shaft or on blow-through towers. 

Figure 3-21. Six bask designs used in horizontal-lube fired heaters. Radian section coil is horLmtai. (a) Cabin, (b) Two-cell box. (c) Cabin with dividing bridgewall, (d) End-fired box. e) End-fired box, with side-mounted convection section, (f) Horizontal-tube, single-row, double-h red. [From Chem. Eng., 102-103 (June 19, 1978).]...

In addition to the kink induced by the primary intercalating residue, a second kink two base steps away from the primary kink is revealed in the crystal structure of a complex of the HMG-D box with linear DNA [32]. The second kink arises from partial secondary intercalation in the minor groove of two adjacent residues, valine and threonine, immediately before the N-terminal end of helix II [32,42]. In the HMG boxes of HMGBl and 2, and other non-sequence-specific HMG proteins, a hydrophobic (and therefore potentially intercalating) residue is almost always found in the position corresponding to the valine in HMG-D [32,42] (residue Y in Table 1 and Fig. 2). In contrast, in the sequence-specific HMG... 

Wagons fitted with (i) grease lubricated axle boxes (ii) end falling doors and (iii) doors on the floor (hopper type) should not be used for the conveyance of military explosives. 

A validation program should be developed for the finished assembled package unit. All MDIs in the United States are packaged in one box with the can and mouthpiece preassembled and the canister placed inside the mouthpiece ready for use. A dust cap is provided to cover the end of the mouthpiece, which is in contact with the lips. 

The impact of electric current on the environmental conditions and the anaerobic microbial activity in completely mixed fed-batch reactors was studied at various electric field strengths (Maillacheruvu and Alshawabkeh, 1999). Experiments were conducted in bio-electrokinetic (BioEK.) reactors, which consist of plexiglass boxes with titanium-coated mesh electrodes mounted at both ends. Electric fields of 1.5 V/cm through 6 V/cm were applied. Unacclimated anaerobic cultures obtained from a mesophilic anaerobic digester were used in these experiments. 

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