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On the Schwinger limit attainability with extreme power lasers

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In <strong>the</strong> case of time - dependent field :<br />

2 2mc<br />

e<br />

Here K <strong>with</strong> K0<br />

<br />

K e<br />

<br />

0<br />

Nonadiabatic Pair Production<br />

2<br />

p|| p <br />

<br />

W <br />

exp g K b1Kb2K ee <br />

<br />

mecmec <br />

e <br />

<br />

In adiabatic regime (tunneling), 1, <br />

8 2 4<br />

2 2 2<br />

K K K<br />

K g K 1 , b1K, b2K1<br />

4<br />

In nonadiabatic<br />

regime (multiphoton), K 1, g K <br />

K<br />

1 <br />

<br />

1ln 0.386 ,<br />

2 K <br />

8<br />

K <br />

<br />

2<br />

b1K <br />

ln K<br />

2<br />

0.386 , b2K<br />

<br />

ln K 1.39<br />

K K<br />

5/ 2<br />

<br />

4 2K0<br />

1 mc e <br />

4<br />

K <br />

The probability W <br />

w<br />

ee n 3/ 2 3 2 V. S. Popov, “Tunnel and multiphoton<br />

nK 2 c m 0<br />

ec<br />

e ionization of atoms and ions in an intense<br />

laser field (Keldysh <strong>the</strong>ory)”<br />

Phys.-Usp. 47 855 (2004)

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