论文标题
Schroedinger代表量子力学，浆果连接和超导性
Schroedinger representation of quantum mechanics, Berry connection, and superconductivity
论文作者
论文摘要
分子和固体的标准量子机械电子状态计算使用Schroedinger表示，其中均由$ -hbar {partial q_r}} $给出了与坐标$ q_r $的动量共轭物。这种形式主义包含额外的$ u（1）$阶段自由度。我们表明，它可以被视为由多电子相互作用引起的浆果相，当它是非平凡的时，它会引起当前的承载基态，被鉴定为超导地面状态。提出了这种超导状态与BCS的连接。
The standard quantum mechanical electronic state calculations for molecules and solids uses the Schroedinger representation where the momentum conjugate to the coordinate $q_r$ is given by $-hbar {partial over {partial q_r}}$. This formalism contains an extra $U(1)$ phase degree-of-freedom. We show that it can be regarded as a Berry phase arising from many-electron interaction, and when it is non-trivial, it gives rise to a current carrying ground state identified as the superconducting ground state. The connection between this superconducting state and the BCS one is presented.
