California Code, Corporations Code - CORP § 13409

(a) Subject to Section 201, a professional corporation may adopt any name permitted by a law expressly applicable to the profession in which the corporation is engaged or by a rule or regulation of the governmental agency regulating that profession. The Secretary of State may require proof by affidavit or otherwise establishing that the name of the professional corporation complies with the requirements of this section and of the law governing the profession in which that professional corporation is engaged. The statements of fact in those affidavits may be accepted by the Secretary of State as sufficient proof of the facts.

(b) Subject to Section 201, a foreign professional corporation qualified to render professional services in this state may transact intrastate business in this state by any name permitted by a law expressly applicable to the profession in which the corporation is engaged, or by a rule or regulation of the governmental agency regulating the rendering of professional services in this state by the corporation. The Secretary of State may require proof by affidavit or otherwise establishing that the name of the foreign professional corporation qualified to render professional services in this state complies with the requirements of this section and of the law governing the profession in which the foreign professional corporation qualified to render professional services in this state proposes to engage in this state. The statements of fact in those affidavits may be accepted by the Secretary of State as sufficient proof of the facts.