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Abstract
In this paper, the squeezing properties of orthonormal eigenstates of high order power of photon annihilation operator αk (k≥3) are studied. It is shown that the amplitude Nth-power squeezing (k=2N) can exist in the eigenstates when k is even.
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ZHAN YOU-BANG

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[10]	LIN ZHI-XIN, YANG YA-PING, FENG WEI-GUO.q-PHASE-COHERENT STATES AND THEIR SQUEEZING PROPERTIES. Acta Physica Sinica, 1998, 47(12): 1976-1988.doi:10.7498/aps.47.1976
[11]	TAN WEI-HAN, LIU JUAN.PHASE OPERATOR AND PHASE STATES FOR FINITE ENERGY SYSTEM. Acta Physica Sinica, 1997, 46(12): 2348-2358.doi:10.7498/aps.46.2348
[12]	CHEN JIAN-HUA, CHENG XIANG-AI.. Acta Physica Sinica, 1995, 44(10): 1529-1533.doi:10.7498/aps.44.1529
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[14]	WEI LIAN-FU.EIGENSTATES OF OPERATOR aqN(N≥2). Acta Physica Sinica, 1993, 42(5): 757-761.doi:10.7498/aps.42.757
[15]	LI FU-LI, CHAI JIN-LIN, ZHANG ZHI-MING.A NEW METHOD FOR CONSTRUCTING ORTHONORMAL EIGENVECTORS OF HIGH ORDER POWER OF PHOTON ANNIHILATION OPERATOR. Acta Physica Sinica, 1993, 42(7): 1058-1064.doi:10.7498/aps.42.1058
[16]	Li Fu-li;Cai Jin-lin;Zhang Zhi-ming.A NEW METHOD FOR CONSTRUCTING ORTHONORMAL EIGENVECTORS OF HIGH ORDER POWER OF PHOTON ANNIHILATION OPERATOR. Acta Physica Sinica, 1991, 40(7): 1058-1064.doi:10.7498/aps.40.1058
[17]	WANG JI-SUO.MATHEMATICAL STRUCTURE OF THE EIGENSTATES OF OPERATOR ak AND THEIR PROPERTIES. Acta Physica Sinica, 1991, 40(4): 547-554.doi:10.7498/aps.40.547
[18]	PENG SHI-AN, GUO GUANG-CAN.ORTHONORMALIZED EIGENSTATES OF OPERATOR αN AND THEIR PROPERTIES. Acta Physica Sinica, 1990, 39(1): 51-60.doi:10.7498/aps.39.51
[19]	GUO GUANG-CAN, WU CHANG-HONG.PROPERTIES OF κ-PHOTON UNITARY OPERATOR. Acta Physica Sinica, 1987, 36(6): 698-704.doi:10.7498/aps.36.698
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Vol. 41, Issue 8 - 1992-04-20

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