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4 papers
Representations of Josephson junction on the unit circle and the derivations of Mathieu operators and Fraunhofer patterns
Toshiyuki Fujii, Fumio Hiroshima, Satoshi Tanda
The Hamiltonian J of the Josephson junction is introduced as a self-adjoint operator on l2 tensor l2. It is shown that J can also be realized as a self-adjoint operator HS1 on L2(S…
Self-adjointness of unbounded time operators
Fumio Hiroshima, Noriaki Teranishi
Time operators for an abstract semi-bounded self-adjoint operator with purely discrete spectrum is considered. The existence of a bounded self-adjoint time operator for …
Conjugate Operators of 1D-harmonic Oscillator
Fumio Hiroshima, Noriaki Teranishi
A conjugate operator of one-dimensional harmonic oscillator is defined by an operator satisfying canonical commutation relation $[N,T]=-i\one$ on some domain but not necess…
Time Operators of Harmonic Oscillators and Their Representations
Fumio Hiroshima, Noriaki Teranishi
A time operator $\hat T_\eps$ of the one-dimensional harmonic oscillator $ \hat h_\eps=\half(p^2+\eps q^2)$ is rigorously constructed. It is formally expressed as $ \hat T_\eps=\ha…