Which method is specifically used for initializing new objects when they are created?

The method specifically used to initialize new objects upon their creation is the constructor. A constructor is a special type of method that is automatically invoked when an object of a class is instantiated. Its primary role is to set up an object by initializing its attributes and performing any necessary setup for the object to be used correctly.

Constructors can accept parameters, allowing the user to provide initial values for the object's attributes at the time of creation, enabling a tailored setup for the specific instance of the class. If no constructor is defined, many programming languages will provide a default constructor that initializes the attributes to default values.

In contrast, a destructor is called when an object is being destroyed and is used to release resources or perform cleanup actions. An initializer may informally refer to any method that sets initial values, but it is not a formal term for a specific method in the context of object-oriented programming. Lastly, an operator typically refers to symbols or methods involved in operations on data types but does not relate to the initialization process of objects.