›› 2014, Vol. 33 ›› Issue (1): 31-31.

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Proving some relations of Hermite polynomials via the normal product of quantum operators

  

  • Online:2014-01-25 Published:2014-01-20

Abstract: The recursion relations of Hermite polynomial are proved with the help of the method of quantum mechanics. Furthermore, two integral formulas related to the Hermite polynomial are obtained according to the expression of the Hermite polynomial.

Key words: Hermite polynomial, normal ordering of operators, quantum representation

CLC Number: 

  • O413.1