04.04.2013 Views

New probes of initial state of quantum fluctuations during inflation

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Future Work<br />

• All we did was to impose the following mode function<br />

at a finite past:<br />

• uk = [αk(1+ikη)e –ikη + βk(1–ikη)e ikη ]<br />

• with the condition: βk -> 0 for k->∞<br />

• However, it is desirable to construct an explicit model<br />

which will give explicit forms <strong>of</strong> αk and βk, so that we<br />

do not need to put an arbitrary model function at an<br />

arbitrary time by hand.<br />

66

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