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Creating and Maintaining Accounts 89 Automatically Created Accounts 90 Adding and Deleting Accounts 91 Adding accounts 92 Deleting accounts 94 Making Accounts Inactive 95 Numbering Accounts 96 Activating Account Numbering 96 Special Features to Help You Track Account Information 97 Creating an audit trail 97 Viewing subaccount detail 98 Using the Class Tracking feature 99 Editing Account Information and Opening Balances 100 Merging Accounts 101 Special Start-Up Issues for Accrual-Based Taxpayers 101 Uncategorized Income 102 Adjusting the Uncategorized Income account 102 Adjusting for uncategorized expenses 104 Summary 105.

(7.19)

Now suppose that our hypothesis holds for N = n, that is,

(7.20)

Governmen 27.8%

1. Go to the Reports menu and select Company & Financial. 2. Select Net Worth Graph from the Reports submenu. The window shown in Figure 4-8 appears.

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For N = n + 1, we denote the collective atomic operators with a prime to remind us that even though the index of such an operator might coincide with that of one of the collective operators for the N = n case, they do not have to be defined in terms of the b/s in the same way. We can see from (7.14), however, that the first n -1 collective operators will be defined in the same way for the N = n + 1 case as they were for the N = n case. So (7.21) From (7.14) we also see that we can write iJ~ as (7.22)

and from (7.13), we see that we can write iJ~+1 as (7.23)

To select the period that you want to use for comparison, click the Dates button and use the Graph Dates drop-down menu to make your selection.

Notice the similarity between these last two expressions and those for the N case. As in that case, we obtain

Industry 66.3%

(7.24)

A journal is a chronological record of each transaction that occurs in a business; it is the original point of entry into the accounting system because it is the rst point at which the transaction is recorded. In traditional accounting systems, the journal had two columns one for debits and one for credits. Entries were made to indicate which accounts were debited and which were credited. A sample entry in a traditional journal might have appeared as follows:

(7.25) Adding (7.24) and (7.25), we get (7.26) Substituting (7.26) in (7.21), we get (7.27)

Using (7.20) in (7.27), we find that (7.28) which completes our proof by induction. As promised, the Hamiltonian (7.8) becomes much simpler when written in terms of this special set of collective atomic operators. It becomes the sum of two uncoupled Hamiltonians, (7.29) where

FIGURE 6.13 Distribution of R&D nancing sources in the United States, 2002.

1iw ata+1iwoBUh +nGN(a+at)(Bl +Bi)+ n;a az+nn(a+at)(a+a t )

Date 2/1/98

(7.30)

(7.31)

Debit $1,000

is the part that does not matter. The Hamiltonian (7.31) is irrelevant for our problem because it just describes the free evolution of the atomic operators Bk, Bk with k = 1, ... ,N -I, which is simply given by (7.32) and goes on forever undisturbed by the rest of the system described by fIm' These N - 1 pairs of operators represent collective excitations that cannot be excited by the single field mode a. The collective excitation associated with BN is the only one that can be excited by the field mode, and the strength of this interaction is dependent on the effective coupling constant G N. The physical meaning of BN will become clear in Section 7.3. As fIm is all that matters for us here, we will simplify the notation, dropping the index N from G Nand BN. SO from now on, we will be concerned with the following Hamiltonian: (7.33) where

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