A Second Regularized Trace Formula for a Fourth Order Differential Operator

In applications, many states given for a system can be expressed by orthonormal elements, called “state elements”, taken in separable Hilbert space (called space”). The exact nature of the depends on system; example, state position and momentum is square-integrable functions. symmetries quantum represented class unitary operators that act space. ladder have effect lowering or raising energy state. this paper, we study spectral properties self-adjoint, fourth-order differential operator with bounded coefficient establish second regularized trace formula operator.