apache

<VirtualHost *>
        WSGIApplicationGroup %{GLOBAL}
        
        
        # Setup Python for the App1
        WSGIDaemonProcess app1 user=www-data group=www-data threads=5
        WSGIScriptAlias /app1 /var/www/app1/app1.wsgi
        <Directory /var/www/app1>
                Order deny,allow
                Allow from all
        </Directory>
        <Location /app1>
                WSGIProcessGroup app1
        </Location>
        
        
        # Setup Python for the App2
        WSGIDaemonProcess app2 user=www-data group=www-data threads=5
        WSGIScriptAlias /app2 /var/www/app2/app2.wsgi

        <Directory /var/www/app2>
                Order deny,allow
                Allow from all
        </Directory>
        <Location /app2>
                WSGIProcessGroup app2
        </Location>
</VirtualHost>

If wanting to do both HTTP and HTTPS you should be using the following.

<VirtualHost *:80>

        ServerName mysite.dns.name

        WSGIApplicationGroup %{GLOBAL}

        # Setup Python for the App1

        WSGIDaemonProcess app1 threads=5

        WSGIScriptAlias /app1 /var/www/app1/app1.wsgi

        <Directory /var/www/app1>
                WSGIProcessGroup app1
                Order deny,allow
                Allow from all
        </Directory>

        # Setup Python for the App2

        WSGIDaemonProcess app2 threads=5

        WSGIScriptAlias /app2 /var/www/app2/app2.wsgi

        <Directory /var/www/app2>
                WSGIProcessGroup app2
                Order deny,allow
                Allow from all
        </Directory>

</VirtualHost>

<VirtualHost *:443>

        ServerName mysite.dns.name

        # Add directives here to set up SSL certificate.

        SSLEngine On
        SSLCertificateFile mysite.crt
        SSLCertificateKeyFile mysite.key

        WSGIApplicationGroup %{GLOBAL}

        # Setup Python for the App1. Don't need WSGIDaemonProcess here.
        # Will match against 'app1' defined in *:80 VirtualHost. The *:80
        # VirtualHost must come before that for *:443 for that to work.

        WSGIScriptAlias /app1 /var/www/app1/app1.wsgi

        <Directory /var/www/app1>
                WSGIProcessGroup app1
                Order deny,allow
                Allow from all
        </Directory>

        # Setup Python for the App2. Don't need WSGIDaemonProcess here.
        # Will match against 'app2' defined in *:80 VirtualHost. The *:80
        # VirtualHost must come before that for *:443 for that to work.

        WSGIScriptAlias /app2 /var/www/app2/app2.wsgi

        <Directory /var/www/app2>
                WSGIProcessGroup app2
                Order deny,allow
                Allow from all
        </Directory>

</VirtualHost>

Have also cleaned some things up to remove unnecessary bits or use better ways.

The daemon process groups are set up in *:80 and referred to from *:443. This is so not create distinct processes for HTTP and HTTPS versions of sites.

If HTTPS only and no other requirement for VirtualHosts, then maybe do away with VirtualHost.

        Listen 443

        ServerName mysite.dns.name

        # Add directives here to set up SSL certificate.

        SSLEngine On
        SSLCertificateFile mysite.crt
        SSLCertificateKeyFile mysite.key

        WSGIApplicationGroup %{GLOBAL}

        # Setup Python for the App1.

        WSGIDaemonProcess app1 threads=5

        WSGIScriptAlias /app1 /var/www/app1/app1.wsgi

        <Directory /var/www/app1>
                WSGIProcessGroup app1
                Order deny,allow
                Allow from all
        </Directory>

        # Setup Python for the App2.

        WSGIDaemonProcess app2 threads=5

        WSGIScriptAlias /app2 /var/www/app2/app2.wsgi

        <Directory /var/www/app2>
                WSGIProcessGroup app2
                Order deny,allow
                Allow from all
        </Directory>

No, I need SSL enabled, it is required. I cannot change the port configuration, nor add a new domain, nor add a new sub-domain. It needs to be on a shared hosting machine, per a client's security requirements. I've create a new Issue topic on the Google Groups for mod_wsgi. I'll add another comment when the issue is publicly viewable, approved, etc.

I have created an Issue here:
https://groups.google.com/forum/#!topic/modwsgi/ta87yyuD01Y