### Apache Airflow version

2.7.1

### What happened

Airflow's postgres connection configuration form has a field called  'schema'  which is misguiding as values mentioned here is used to refer to the database name instead of the schema name. It should be correctly named to 'database' or 'dbname'

### What you think should happen instead

_No response_

### How to reproduce

create a connection on the web UI and choose connection type as postgres.
Have a dag connect to an postgres server with multiple databases
provide the database name in the 'schema' field of the connection form- this would work if nothing else is incorrect in the etl
now change the value in the schema field of the connection form to refer to a schema- this will fail unexpectedly as the schema name field actually points to the database name.

### Operating System

Windows and Linux

### Versions of Apache Airflow Providers

2.71

### Deployment

Docker-Compose

### Deployment details

_No response_

### Anything else

_No response_

### Are you willing to submit PR?

- [ ] Yes I am willing to submit a PR!

### Code of Conduct

- [X] I agree to follow this project's [Code of Conduct](https://github.com/apache/airflow/blob/main/CODE_OF_CONDUCT.md)

"""Interact with Postgres.
    You can specify ssl parameters in the extra field of your connection
    as ``{"sslmode": "require", "sslcert": "/path/to/cert.pem", etc}``.
    Also you can choose cursor as ``{"cursor": "dictcursor"}``. Refer to the
    psycopg2.extras for more details.
    Note: For Redshift, use keepalives_idle in the extra connection parameters
    and set it to less than 300 seconds.
    Note: For AWS IAM authentication, use iam in the extra connection parameters
    and set it to true. Leave the password field empty. This will use the
    "aws_default" connection to get the temporary token unless you override
    in extras.
    extras example: ``{"iam":true, "aws_conn_id":"my_aws_conn"}``
    For Redshift, also use redshift in the extra connection parameters and
    set it to true. The cluster-identifier is extracted from the beginning of
    the host field, so is optional. It can however be overridden in the extra field.
    extras example: ``{"iam":true, "redshift":true, "cluster-identifier": "my_cluster_id"}``
    :param postgres_conn_id: The :ref:`postgres conn id <howto/connection:postgres>`
        reference to a specific postgres database.
    :param options: Optional. Specifies command-line options to send to the server
        at connection start. For example, setting this to ``-c search_path=myschema``
        sets the session's value of the ``search_path`` to ``myschema``.
    """
    conn_name_attr = "postgres_conn_id"
    default_conn_name = "postgres_default"
    conn_type = "postgres"
    hook_name = "Postgres"
    supports_autocommit = True
    def __init__(self, *args, options: str | None = None, **kwargs) -> None: